diff mupdf-source/thirdparty/leptonica/src/morph.c @ 2:b50eed0cc0ef upstream

ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4. The directory name has changed: no version number in the expanded directory now.
author Franz Glasner <fzglas.hg@dom66.de>
date Mon, 15 Sep 2025 11:43:07 +0200
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children
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/mupdf-source/thirdparty/leptonica/src/morph.c	Mon Sep 15 11:43:07 2025 +0200
@@ -0,0 +1,1867 @@
+/*====================================================================*
+ -  Copyright (C) 2001 Leptonica.  All rights reserved.
+ -
+ -  Redistribution and use in source and binary forms, with or without
+ -  modification, are permitted provided that the following conditions
+ -  are met:
+ -  1. Redistributions of source code must retain the above copyright
+ -     notice, this list of conditions and the following disclaimer.
+ -  2. Redistributions in binary form must reproduce the above
+ -     copyright notice, this list of conditions and the following
+ -     disclaimer in the documentation and/or other materials
+ -     provided with the distribution.
+ -
+ -  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ -  ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ -  LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ -  A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL ANY
+ -  CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+ -  EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+ -  PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+ -  PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+ -  OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ -  NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ -  SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *====================================================================*/
+
+/*!
+ * \file morph.c
+ * <pre>
+ *
+ *     Generic binary morphological ops implemented with rasterop
+ *         PIX     *pixDilate()
+ *         PIX     *pixErode()
+ *         PIX     *pixHMT()
+ *         PIX     *pixOpen()
+ *         PIX     *pixClose()
+ *         PIX     *pixCloseSafe()
+ *         PIX     *pixOpenGeneralized()
+ *         PIX     *pixCloseGeneralized()
+ *
+ *     Binary morphological (raster) ops with brick Sels
+ *         PIX     *pixDilateBrick()
+ *         PIX     *pixErodeBrick()
+ *         PIX     *pixOpenBrick()
+ *         PIX     *pixCloseBrick()
+ *         PIX     *pixCloseSafeBrick()
+ *
+ *     Binary composed morphological (raster) ops with brick Sels
+ *         l_int32  selectComposableSels()
+ *         l_int32  selectComposableSizes()
+ *         PIX     *pixDilateCompBrick()
+ *         PIX     *pixErodeCompBrick()
+ *         PIX     *pixOpenCompBrick()
+ *         PIX     *pixCloseCompBrick()
+ *         PIX     *pixCloseSafeCompBrick()
+ *
+ *     Functions associated with boundary conditions
+ *         void     resetMorphBoundaryCondition()
+ *         l_int32  getMorphBorderPixelColor()
+ *
+ *     Static helpers for arg processing
+ *         static PIX     *processMorphArgs1()
+ *         static PIX     *processMorphArgs2()
+ *
+ *  You are provided with many simple ways to do binary morphology.
+ *  In particular, if you are using brick Sels, there are six
+ *  convenient methods, all specially tailored for separable operations
+ *  on brick Sels.  A "brick" Sel is a Sel that is a rectangle
+ *  of solid SEL_HITs with the origin at or near the center.
+ *  Note that a brick Sel can have one dimension of size 1.
+ *  This is very common.  All the brick Sel operations are
+ *  separable, meaning the operation is done first in the horizontal
+ *  direction and then in the vertical direction.  If one of the
+ *  dimensions is 1, this is a special case where the operation is
+ *  only performed in the other direction.
+ *
+ *  These six brick Sel methods are enumerated as follows:
+ *
+ *  (1) Brick Sels: pix*Brick(), where * = {Dilate, Erode, Open, Close}.
+ *      These are separable rasterop implementations.  The Sels are
+ *      automatically generated, used, and destroyed at the end.
+ *      You can get the result as a new Pix, in-place back into the src Pix,
+ *      or written to another existing Pix.
+ *
+ *  (2) Brick Sels: pix*CompBrick(), where * = {Dilate, Erode, Open, Close}.
+ *      These are separable, 2-way composite, rasterop implementations.
+ *      The Sels are automatically generated, used, and destroyed at the end.
+ *      You can get the result as a new Pix, in-place back into the src Pix,
+ *      or written to another existing Pix.  For large Sels, these are
+ *      considerably faster than the corresponding pix*Brick() functions.
+ *      N.B.:  The size of the Sels that are actually used are typically
+ *      close to, but not exactly equal to, the size input to the function.
+ *
+ *  (3) Brick Sels: pix*BrickDwa(), where * = {Dilate, Erode, Open, Close}.
+ *      These are separable dwa (destination word accumulation)
+ *      implementations.  They use auto-gen'd dwa code.  You can get
+ *      the result as a new Pix, in-place back into the src Pix,
+ *      or written to another existing Pix.  This is typically
+ *      about 3x faster than the analogous rasterop pix*Brick()
+ *      function, but it has the limitation that the Sel size must
+ *      be less than 63.  This is pre-set to work on a number
+ *      of pre-generated Sels.  If you want to use other Sels, the
+ *      code can be auto-gen'd for them; see the instructions in morphdwa.c.
+ *
+ *  (4) Same as (1), but you run it through pixMorphSequence(), with
+ *      the sequence string either compiled in or generated using snprintf.
+ *      All intermediate images and Sels are created, used and destroyed.
+ *      You always get the result as a new Pix.  For example, you can
+ *      specify a separable 11 x 17 brick opening as "o11.17",
+ *      or you can specify the horizontal and vertical operations
+ *      explicitly as "o11.1 + o1.11".  See morphseq.c for details.
+ *
+ *  (5) Same as (2), but you run it through pixMorphCompSequence(), with
+ *      the sequence string either compiled in or generated using snprintf.
+ *      All intermediate images and Sels are created, used and destroyed.
+ *      You always get the result as a new Pix.  See morphseq.c for details.
+ *
+ *  (6) Same as (3), but you run it through pixMorphSequenceDwa(), with
+ *      the sequence string either compiled in or generated using snprintf.
+ *      All intermediate images and Sels are created, used and destroyed.
+ *      You always get the result as a new Pix.  See morphseq.c for details.
+ *
+ *  If you are using Sels that are not bricks, you have two choices:
+ *      (a) simplest: use the basic rasterop implementations (pixDilate(), ...)
+ *      (b) fastest: generate the destination word accumumlation (dwa)
+ *          code for your Sels and compile it with the library.
+ *
+ *      For an example, see flipdetect.c, which gives implementations
+ *      using hit-miss Sels with both the rasterop and dwa versions.
+ *      For the latter, the dwa code resides in fliphmtgen.c, and it
+ *      was generated by prog/flipselgen.c.  Both the rasterop and dwa
+ *      implementations are tested by prog/fliptest.c.
+ *
+ *  A global constant MORPH_BC is used to set the boundary conditions
+ *  for rasterop-based binary morphology.  MORPH_BC, in morph.c,
+ *  is set by default to ASYMMETRIC_MORPH_BC for a non-symmetric
+ *  convention for boundary pixels in dilation and erosion:
+ *      All pixels outside the image are assumed to be OFF
+ *      for both dilation and erosion.
+ *  To use a symmetric definition, see comments in pixErode()
+ *  and reset MORPH_BC to SYMMETRIC_MORPH_BC, using
+ *  resetMorphBoundaryCondition().
+ *
+ *  Boundary artifacts are possible in closing when the non-symmetric
+ *  boundary conditions are used, because foreground pixels very close
+ *  to the edge can be removed.  This can be avoided by using either
+ *  the symmetric boundary conditions or the function pixCloseSafe(),
+ *  which adds a border before the operation and removes it afterwards.
+ *
+ *  The hit-miss transform (HMT) is the bit-and of 2 erosions:
+ *     (erosion of the src by the hits)  &  (erosion of the bit-inverted
+ *                                           src by the misses)
+ *
+ *  The 'generalized opening' is an HMT followed by a dilation that uses
+ *  only the hits of the hit-miss Sel.
+ *  The 'generalized closing' is a dilation (again, with the hits
+ *  of a hit-miss Sel), followed by the HMT.
+ *  Both of these 'generalized' functions are idempotent.
+ *
+ *  These functions are extensively tested in prog/binmorph1_reg.c,
+ *  prog/binmorph2_reg.c, and prog/binmorph3_reg.c.
+ * </pre>
+ */
+
+#ifdef HAVE_CONFIG_H
+#include <config_auto.h>
+#endif  /* HAVE_CONFIG_H */
+
+#include <math.h>
+#include "allheaders.h"
+
+    /* Global constant; initialized here; must be declared extern
+     * in other files to access it directly.  However, in most
+     * cases that is not necessary, because it can be reset
+     * using resetMorphBoundaryCondition().  */
+LEPT_DLL l_int32  MORPH_BC = ASYMMETRIC_MORPH_BC;
+
+    /* We accept this cost in extra rasterops for decomposing exactly. */
+static const l_int32  ACCEPTABLE_COST = 5;
+
+    /* Static helpers for arg processing */
+static PIX * processMorphArgs1(PIX *pixd, PIX *pixs, SEL *sel, PIX **ppixt);
+static PIX * processMorphArgs2(PIX *pixd, PIX *pixs, SEL *sel);
+
+
+/*-----------------------------------------------------------------*
+ *    Generic binary morphological ops implemented with rasterop   *
+ *-----------------------------------------------------------------*/
+/*!
+ * \brief   pixDilate()
+ *
+ * \param[in]    pixd    [optional]; this can be null, equal to pixs,
+ *                       or different from pixs
+ * \param[in]    pixs    1 bpp
+ * \param[in]    sel
+ * \return  pixd
+ *
+ * <pre>
+ * Notes:
+ *      (1) This dilates src using hits in Sel.
+ *      (2) There are three cases:
+ *          (a) pixd == null   (result into new pixd)
+ *          (b) pixd == pixs   (in-place; writes result back to pixs)
+ *          (c) pixd != pixs   (puts result into existing pixd)
+ *      (3) For clarity, if the case is known, use these patterns:
+ *          (a) pixd = pixDilate(NULL, pixs, ...);
+ *          (b) pixDilate(pixs, pixs, ...);
+ *          (c) pixDilate(pixd, pixs, ...);
+ *      (4) The size of the result is determined by pixs.
+ * </pre>
+ */
+PIX *
+pixDilate(PIX  *pixd,
+          PIX  *pixs,
+          SEL  *sel)
+{
+l_int32  i, j, w, h, sx, sy, cx, cy, seldata;
+PIX     *pixt;
+
+    if ((pixd = processMorphArgs1(pixd, pixs, sel, &pixt)) == NULL)
+        return (PIX *)ERROR_PTR("processMorphArgs1 failed", __func__, pixd);
+
+    pixGetDimensions(pixs, &w, &h, NULL);
+    selGetParameters(sel, &sy, &sx, &cy, &cx);
+    pixClearAll(pixd);
+    for (i = 0; i < sy; i++) {
+        for (j = 0; j < sx; j++) {
+            seldata = sel->data[i][j];
+            if (seldata == 1) {   /* src | dst */
+                pixRasterop(pixd, j - cx, i - cy, w, h, PIX_SRC | PIX_DST,
+                            pixt, 0, 0);
+            }
+        }
+    }
+
+    pixDestroy(&pixt);
+    return pixd;
+}
+
+
+/*!
+ * \brief   pixErode()
+ *
+ * \param[in]    pixd    [optional]; this can be null, equal to pixs,
+ *                       or different from pixs
+ * \param[in]    pixs    1 bpp
+ * \param[in]    sel
+ * \return  pixd
+ *
+ * <pre>
+ * Notes:
+ *      (1) This erodes src using hits in Sel.
+ *      (2) There are three cases:
+ *          (a) pixd == null   (result into new pixd)
+ *          (b) pixd == pixs   (in-place; writes result back to pixs)
+ *          (c) pixd != pixs   (puts result into existing pixd)
+ *      (3) For clarity, if the case is known, use these patterns:
+ *          (a) pixd = pixErode(NULL, pixs, ...);
+ *          (b) pixErode(pixs, pixs, ...);
+ *          (c) pixErode(pixd, pixs, ...);
+ *      (4) The size of the result is determined by pixs.
+ * </pre>
+ */
+PIX *
+pixErode(PIX  *pixd,
+         PIX  *pixs,
+         SEL  *sel)
+{
+l_int32  i, j, w, h, sx, sy, cx, cy, seldata;
+l_int32  xp, yp, xn, yn;
+PIX     *pixt;
+
+    if ((pixd = processMorphArgs1(pixd, pixs, sel, &pixt)) == NULL)
+        return (PIX *)ERROR_PTR("processMorphArgs1 failed", __func__, pixd);
+
+    pixGetDimensions(pixs, &w, &h, NULL);
+    selGetParameters(sel, &sy, &sx, &cy, &cx);
+    pixSetAll(pixd);
+    for (i = 0; i < sy; i++) {
+        for (j = 0; j < sx; j++) {
+            seldata = sel->data[i][j];
+            if (seldata == 1) {   /* src & dst */
+                    pixRasterop(pixd, cx - j, cy - i, w, h, PIX_SRC & PIX_DST,
+                                pixt, 0, 0);
+            }
+        }
+    }
+
+        /* Clear near edges.  We do this for the asymmetric boundary
+         * condition convention that implements erosion assuming all
+         * pixels surrounding the image are OFF.  If you use a
+         * use a symmetric b.c. convention, where the erosion is
+         * implemented assuming pixels surrounding the image
+         * are ON, these operations are omitted.  */
+    if (MORPH_BC == ASYMMETRIC_MORPH_BC) {
+        selFindMaxTranslations(sel, &xp, &yp, &xn, &yn);
+        if (xp > 0)
+            pixRasterop(pixd, 0, 0, xp, h, PIX_CLR, NULL, 0, 0);
+        if (xn > 0)
+            pixRasterop(pixd, w - xn, 0, xn, h, PIX_CLR, NULL, 0, 0);
+        if (yp > 0)
+            pixRasterop(pixd, 0, 0, w, yp, PIX_CLR, NULL, 0, 0);
+        if (yn > 0)
+            pixRasterop(pixd, 0, h - yn, w, yn, PIX_CLR, NULL, 0, 0);
+    }
+
+    pixDestroy(&pixt);
+    return pixd;
+}
+
+
+/*!
+ * \brief   pixHMT()
+ *
+ * \param[in]    pixd   [optional]; this can be null, equal to pixs,
+ *                      or different from pixs
+ * \param[in]    pixs   1 bpp
+ * \param[in]    sel
+ * \return  pixd
+ *
+ * <pre>
+ * Notes:
+ *      (1) The hit-miss transform erodes the src, using both hits
+ *          and misses in the Sel.  It ANDs the shifted src for hits
+ *          and ANDs the inverted shifted src for misses.
+ *      (2) There are three cases:
+ *          (a) pixd == null   (result into new pixd)
+ *          (b) pixd == pixs   (in-place; writes result back to pixs)
+ *          (c) pixd != pixs   (puts result into existing pixd)
+ *      (3) For clarity, if the case is known, use these patterns:
+ *          (a) pixd = pixHMT(NULL, pixs, ...);
+ *          (b) pixHMT(pixs, pixs, ...);
+ *          (c) pixHMT(pixd, pixs, ...);
+ *      (4) The size of the result is determined by pixs.
+ * </pre>
+ */
+PIX *
+pixHMT(PIX  *pixd,
+       PIX  *pixs,
+       SEL  *sel)
+{
+l_int32  i, j, w, h, sx, sy, cx, cy, firstrasterop, seldata;
+l_int32  xp, yp, xn, yn;
+PIX     *pixt;
+
+    if ((pixd = processMorphArgs1(pixd, pixs, sel, &pixt)) == NULL)
+        return (PIX *)ERROR_PTR("processMorphArgs1 failed", __func__, pixd);
+
+    pixGetDimensions(pixs, &w, &h, NULL);
+    selGetParameters(sel, &sy, &sx, &cy, &cx);
+    firstrasterop = TRUE;
+    for (i = 0; i < sy; i++) {
+        for (j = 0; j < sx; j++) {
+            seldata = sel->data[i][j];
+            if (seldata == 1) {  /* hit */
+                if (firstrasterop == TRUE) {  /* src only */
+                    pixClearAll(pixd);
+                    pixRasterop(pixd, cx - j, cy - i, w, h, PIX_SRC,
+                                pixt, 0, 0);
+                    firstrasterop = FALSE;
+                } else {   /* src & dst */
+                    pixRasterop(pixd, cx - j, cy - i, w, h, PIX_SRC & PIX_DST,
+                                pixt, 0, 0);
+                }
+            } else if (seldata == 2) {  /* miss */
+                if (firstrasterop == TRUE) {  /* ~src only */
+                    pixSetAll(pixd);
+                    pixRasterop(pixd, cx - j, cy - i, w, h, PIX_NOT(PIX_SRC),
+                             pixt, 0, 0);
+                    firstrasterop = FALSE;
+                } else {  /* ~src & dst */
+                    pixRasterop(pixd, cx - j, cy - i, w, h,
+                                PIX_NOT(PIX_SRC) & PIX_DST,
+                                pixt, 0, 0);
+                }
+            }
+        }
+    }
+
+        /* Clear near edges */
+    selFindMaxTranslations(sel, &xp, &yp, &xn, &yn);
+    if (xp > 0)
+        pixRasterop(pixd, 0, 0, xp, h, PIX_CLR, NULL, 0, 0);
+    if (xn > 0)
+        pixRasterop(pixd, w - xn, 0, xn, h, PIX_CLR, NULL, 0, 0);
+    if (yp > 0)
+        pixRasterop(pixd, 0, 0, w, yp, PIX_CLR, NULL, 0, 0);
+    if (yn > 0)
+        pixRasterop(pixd, 0, h - yn, w, yn, PIX_CLR, NULL, 0, 0);
+
+    pixDestroy(&pixt);
+    return pixd;
+}
+
+
+/*!
+ * \brief   pixOpen()
+ *
+ * \param[in]    pixd    [optional]; this can be null, equal to pixs,
+ *                       or different from pixs
+ * \param[in]    pixs    1 bpp
+ * \param[in]    sel
+ * \return  pixd
+ *
+ * <pre>
+ * Notes:
+ *      (1) Generic morphological opening, using hits in the Sel.
+ *      (2) There are three cases:
+ *          (a) pixd == null   (result into new pixd)
+ *          (b) pixd == pixs   (in-place; writes result back to pixs)
+ *          (c) pixd != pixs   (puts result into existing pixd)
+ *      (3) For clarity, if the case is known, use these patterns:
+ *          (a) pixd = pixOpen(NULL, pixs, ...);
+ *          (b) pixOpen(pixs, pixs, ...);
+ *          (c) pixOpen(pixd, pixs, ...);
+ *      (4) The size of the result is determined by pixs.
+ * </pre>
+ */
+PIX *
+pixOpen(PIX  *pixd,
+        PIX  *pixs,
+        SEL  *sel)
+{
+PIX  *pixt;
+
+    if ((pixd = processMorphArgs2(pixd, pixs, sel)) == NULL)
+        return (PIX *)ERROR_PTR("pixd not returned", __func__, pixd);
+
+    if ((pixt = pixErode(NULL, pixs, sel)) == NULL)
+        return (PIX *)ERROR_PTR("pixt not made", __func__, pixd);
+    pixDilate(pixd, pixt, sel);
+    pixDestroy(&pixt);
+
+    return pixd;
+}
+
+
+/*!
+ * \brief   pixClose()
+ *
+ * \param[in]    pixd [optional]; this can be null, equal to pixs,
+ *                    or different from pixs
+ * \param[in]    pixs 1 bpp
+ * \param[in]    sel
+ * \return  pixd
+ *
+ * <pre>
+ * Notes:
+ *      (1) Generic morphological closing, using hits in the Sel.
+ *      (2) This implementation is a strict dual of the opening if
+ *          symmetric boundary conditions are used (see notes at top
+ *          of this file).
+ *      (3) There are three cases:
+ *          (a) pixd == null   (result into new pixd)
+ *          (b) pixd == pixs   (in-place; writes result back to pixs)
+ *          (c) pixd != pixs   (puts result into existing pixd)
+ *      (4) For clarity, if the case is known, use these patterns:
+ *          (a) pixd = pixClose(NULL, pixs, ...);
+ *          (b) pixClose(pixs, pixs, ...);
+ *          (c) pixClose(pixd, pixs, ...);
+ *      (5) The size of the result is determined by pixs.
+ * </pre>
+ */
+PIX *
+pixClose(PIX  *pixd,
+         PIX  *pixs,
+         SEL  *sel)
+{
+PIX  *pixt;
+
+    if ((pixd = processMorphArgs2(pixd, pixs, sel)) == NULL)
+        return (PIX *)ERROR_PTR("pixd not returned", __func__, pixd);
+
+    if ((pixt = pixDilate(NULL, pixs, sel)) == NULL)
+        return (PIX *)ERROR_PTR("pixt not made", __func__, pixd);
+    pixErode(pixd, pixt, sel);
+    pixDestroy(&pixt);
+
+    return pixd;
+}
+
+
+/*!
+ * \brief   pixCloseSafe()
+ *
+ * \param[in]    pixd   [optional]; this can be null, equal to pixs,
+ *                      or different from pixs
+ * \param[in]    pixs   1 bpp
+ * \param[in]    sel
+ * \return  pixd
+ *
+ * <pre>
+ * Notes:
+ *      (1) Generic morphological closing, using hits in the Sel.
+ *      (2) If non-symmetric boundary conditions are used, this
+ *          function adds a border of OFF pixels that is of
+ *          sufficient size to avoid losing pixels from the dilation,
+ *          and it removes the border after the operation is finished.
+ *          It thus enforces a correct extensive result for closing.
+ *      (3) If symmetric b.c. are used, it is not necessary to add
+ *          and remove this border.
+ *      (4) There are three cases:
+ *          (a) pixd == null   (result into new pixd)
+ *          (b) pixd == pixs   (in-place; writes result back to pixs)
+ *          (c) pixd != pixs   (puts result into existing pixd)
+ *      (5) For clarity, if the case is known, use these patterns:
+ *          (a) pixd = pixCloseSafe(NULL, pixs, ...);
+ *          (b) pixCloseSafe(pixs, pixs, ...);
+ *          (c) pixCloseSafe(pixd, pixs, ...);
+ *      (6) The size of the result is determined by pixs.
+ * </pre>
+ */
+PIX *
+pixCloseSafe(PIX  *pixd,
+             PIX  *pixs,
+             SEL  *sel)
+{
+l_int32  xp, yp, xn, yn, xmax, xbord;
+PIX     *pixt1, *pixt2;
+
+    if (!pixs)
+        return (PIX *)ERROR_PTR("pixs not defined", __func__, pixd);
+    if (!sel)
+        return (PIX *)ERROR_PTR("sel not defined", __func__, pixd);
+    if (pixGetDepth(pixs) != 1)
+        return (PIX *)ERROR_PTR("pixs not 1 bpp", __func__, pixd);
+
+        /* Symmetric b.c. handles correctly without added pixels */
+    if (MORPH_BC == SYMMETRIC_MORPH_BC)
+        return pixClose(pixd, pixs, sel);
+
+    selFindMaxTranslations(sel, &xp, &yp, &xn, &yn);
+    xmax = L_MAX(xp, xn);
+    xbord = 32 * ((xmax + 31) / 32);  /* full 32 bit words */
+
+    if ((pixt1 = pixAddBorderGeneral(pixs, xbord, xbord, yp, yn, 0)) == NULL)
+        return (PIX *)ERROR_PTR("pixt1 not made", __func__, pixd);
+    pixClose(pixt1, pixt1, sel);
+    if ((pixt2 = pixRemoveBorderGeneral(pixt1, xbord, xbord, yp, yn)) == NULL)
+        return (PIX *)ERROR_PTR("pixt2 not made", __func__, pixd);
+    pixDestroy(&pixt1);
+
+    if (!pixd)
+        return pixt2;
+
+    pixCopy(pixd, pixt2);
+    pixDestroy(&pixt2);
+    return pixd;
+}
+
+
+/*!
+ * \brief   pixOpenGeneralized()
+ *
+ * \param[in]    pixd   [optional]; this can be null, equal to pixs,
+ *                      or different from pixs
+ * \param[in]    pixs   1 bpp
+ * \param[in]    sel
+ * \return  pixd
+ *
+ * <pre>
+ * Notes:
+ *      (1) Generalized morphological opening, using both hits and
+ *          misses in the Sel.
+ *      (2) This does a hit-miss transform, followed by a dilation
+ *          using the hits.
+ *      (3) There are three cases:
+ *          (a) pixd == null   (result into new pixd)
+ *          (b) pixd == pixs   (in-place; writes result back to pixs)
+ *          (c) pixd != pixs   (puts result into existing pixd)
+ *      (4) For clarity, if the case is known, use these patterns:
+ *          (a) pixd = pixOpenGeneralized(NULL, pixs, ...);
+ *          (b) pixOpenGeneralized(pixs, pixs, ...);
+ *          (c) pixOpenGeneralized(pixd, pixs, ...);
+ *      (5) The size of the result is determined by pixs.
+ * </pre>
+ */
+PIX *
+pixOpenGeneralized(PIX  *pixd,
+                   PIX  *pixs,
+                   SEL  *sel)
+{
+PIX  *pixt;
+
+    if ((pixd = processMorphArgs2(pixd, pixs, sel)) == NULL)
+        return (PIX *)ERROR_PTR("pixd not returned", __func__, pixd);
+
+    if ((pixt = pixHMT(NULL, pixs, sel)) == NULL)
+        return (PIX *)ERROR_PTR("pixt not made", __func__, pixd);
+    pixDilate(pixd, pixt, sel);
+    pixDestroy(&pixt);
+    return pixd;
+}
+
+
+/*!
+ * \brief   pixCloseGeneralized()
+ *
+ * \param[in]    pixd   [optional]; this can be null, equal to pixs,
+ *                      or different from pixs
+ * \param[in]    pixs   1 bpp
+ * \param[in]    sel
+ * \return  pixd
+ *
+ * <pre>
+ * Notes:
+ *      (1) Generalized morphological closing, using both hits and
+ *          misses in the Sel.
+ *      (2) This does a dilation using the hits, followed by a
+ *          hit-miss transform.
+ *      (3) This operation is a dual of the generalized opening.
+ *      (4) There are three cases:
+ *          (a) pixd == null   (result into new pixd)
+ *          (b) pixd == pixs   (in-place; writes result back to pixs)
+ *          (c) pixd != pixs   (puts result into existing pixd)
+ *      (5) For clarity, if the case is known, use these patterns:
+ *          (a) pixd = pixCloseGeneralized(NULL, pixs, ...);
+ *          (b) pixCloseGeneralized(pixs, pixs, ...);
+ *          (c) pixCloseGeneralized(pixd, pixs, ...);
+ *      (6) The size of the result is determined by pixs.
+ * </pre>
+ */
+PIX *
+pixCloseGeneralized(PIX  *pixd,
+                    PIX  *pixs,
+                    SEL  *sel)
+{
+PIX  *pixt;
+
+    if ((pixd = processMorphArgs2(pixd, pixs, sel)) == NULL)
+        return (PIX *)ERROR_PTR("pixd not returned", __func__, pixd);
+
+    if ((pixt = pixDilate(NULL, pixs, sel)) == NULL)
+        return (PIX *)ERROR_PTR("pixt not made", __func__, pixd);
+    pixHMT(pixd, pixt, sel);
+    pixDestroy(&pixt);
+
+    return pixd;
+}
+
+
+/*-----------------------------------------------------------------*
+ *          Binary morphological (raster) ops with brick Sels      *
+ *-----------------------------------------------------------------*/
+/*!
+ * \brief   pixDilateBrick()
+ *
+ * \param[in]    pixd    [optional]; this can be null, equal to pixs,
+ *                       or different from pixs
+ * \param[in]    pixs    1 bpp
+ * \param[in]    hsize   width of brick Sel
+ * \param[in]    vsize   height of brick Sel
+ * \return  pixd
+ *
+ * <pre>
+ * Notes:
+ *      (1) Sel is a brick with all elements being hits
+ *      (2) The origin is at (x, y) = (hsize/2, vsize/2)
+ *      (3) Do separably if both hsize and vsize are > 1.
+ *      (4) There are three cases:
+ *          (a) pixd == null   (result into new pixd)
+ *          (b) pixd == pixs   (in-place; writes result back to pixs)
+ *          (c) pixd != pixs   (puts result into existing pixd)
+ *      (5) For clarity, if the case is known, use these patterns:
+ *          (a) pixd = pixDilateBrick(NULL, pixs, ...);
+ *          (b) pixDilateBrick(pixs, pixs, ...);
+ *          (c) pixDilateBrick(pixd, pixs, ...);
+ *      (6) The size of the result is determined by pixs.
+ * </pre>
+ */
+PIX *
+pixDilateBrick(PIX     *pixd,
+               PIX     *pixs,
+               l_int32  hsize,
+               l_int32  vsize)
+{
+PIX  *pixt;
+SEL  *sel, *selh, *selv;
+
+    if (!pixs)
+        return (PIX *)ERROR_PTR("pixs not defined", __func__, pixd);
+    if (pixGetDepth(pixs) != 1)
+        return (PIX *)ERROR_PTR("pixs not 1 bpp", __func__, pixd);
+    if (hsize < 1 || vsize < 1)
+        return (PIX *)ERROR_PTR("hsize and vsize not >= 1", __func__, pixd);
+
+    if (hsize == 1 && vsize == 1)
+        return pixCopy(pixd, pixs);
+    if (hsize == 1 || vsize == 1) {  /* no intermediate result */
+        sel = selCreateBrick(vsize, hsize, vsize / 2, hsize / 2, SEL_HIT);
+        if (!sel)
+            return (PIX *)ERROR_PTR("sel not made", __func__, pixd);
+        pixd = pixDilate(pixd, pixs, sel);
+        selDestroy(&sel);
+    } else {
+        if ((selh = selCreateBrick(1, hsize, 0, hsize / 2, SEL_HIT)) == NULL)
+            return (PIX *)ERROR_PTR("selh not made", __func__, pixd);
+        if ((selv = selCreateBrick(vsize, 1, vsize / 2, 0, SEL_HIT)) == NULL) {
+            selDestroy(&selh);
+            return (PIX *)ERROR_PTR("selv not made", __func__, pixd);
+        }
+        pixt = pixDilate(NULL, pixs, selh);
+        pixd = pixDilate(pixd, pixt, selv);
+        pixDestroy(&pixt);
+        selDestroy(&selh);
+        selDestroy(&selv);
+    }
+
+    return pixd;
+}
+
+
+/*!
+ * \brief   pixErodeBrick()
+ *
+ * \param[in]    pixd    [optional]; this can be null, equal to pixs,
+ *                       or different from pixs
+ * \param[in]    pixs    1 bpp
+ * \param[in]    hsize   width of brick Sel
+ * \param[in]    vsize   height of brick Sel
+ * \return  pixd
+ *
+ * <pre>
+ * Notes:
+ *      (1) Sel is a brick with all elements being hits
+ *      (2) The origin is at (x, y) = (hsize/2, vsize/2)
+ *      (3) Do separably if both hsize and vsize are > 1.
+ *      (4) There are three cases:
+ *          (a) pixd == null   (result into new pixd)
+ *          (b) pixd == pixs   (in-place; writes result back to pixs)
+ *          (c) pixd != pixs   (puts result into existing pixd)
+ *      (5) For clarity, if the case is known, use these patterns:
+ *          (a) pixd = pixErodeBrick(NULL, pixs, ...);
+ *          (b) pixErodeBrick(pixs, pixs, ...);
+ *          (c) pixErodeBrick(pixd, pixs, ...);
+ *      (6) The size of the result is determined by pixs.
+ * </pre>
+ */
+PIX *
+pixErodeBrick(PIX     *pixd,
+              PIX     *pixs,
+              l_int32  hsize,
+              l_int32  vsize)
+{
+PIX  *pixt;
+SEL  *sel, *selh, *selv;
+
+    if (!pixs)
+        return (PIX *)ERROR_PTR("pixs not defined", __func__, pixd);
+    if (pixGetDepth(pixs) != 1)
+        return (PIX *)ERROR_PTR("pixs not 1 bpp", __func__, pixd);
+    if (hsize < 1 || vsize < 1)
+        return (PIX *)ERROR_PTR("hsize and vsize not >= 1", __func__, pixd);
+
+    if (hsize == 1 && vsize == 1)
+        return pixCopy(pixd, pixs);
+    if (hsize == 1 || vsize == 1) {  /* no intermediate result */
+        sel = selCreateBrick(vsize, hsize, vsize / 2, hsize / 2, SEL_HIT);
+        if (!sel)
+            return (PIX *)ERROR_PTR("sel not made", __func__, pixd);
+        pixd = pixErode(pixd, pixs, sel);
+        selDestroy(&sel);
+    } else {
+        if ((selh = selCreateBrick(1, hsize, 0, hsize / 2, SEL_HIT)) == NULL)
+            return (PIX *)ERROR_PTR("selh not made", __func__, pixd);
+        if ((selv = selCreateBrick(vsize, 1, vsize / 2, 0, SEL_HIT)) == NULL) {
+            selDestroy(&selh);
+            return (PIX *)ERROR_PTR("selv not made", __func__, pixd);
+        }
+        pixt = pixErode(NULL, pixs, selh);
+        pixd = pixErode(pixd, pixt, selv);
+        pixDestroy(&pixt);
+        selDestroy(&selh);
+        selDestroy(&selv);
+    }
+
+    return pixd;
+}
+
+
+/*!
+ * \brief   pixOpenBrick()
+ *
+ * \param[in]    pixd    [optional]; this can be null, equal to pixs,
+ *                       or different from pixs
+ * \param[in]    pixs    1 bpp
+ * \param[in]    hsize   width of brick Sel
+ * \param[in]    vsize   height of brick Sel
+ * \return  pixd, or NULL on error
+ *
+ * <pre>
+ * Notes:
+ *      (1) Sel is a brick with all elements being hits
+ *      (2) The origin is at (x, y) = (hsize/2, vsize/2)
+ *      (3) Do separably if both hsize and vsize are > 1.
+ *      (4) There are three cases:
+ *          (a) pixd == null   (result into new pixd)
+ *          (b) pixd == pixs   (in-place; writes result back to pixs)
+ *          (c) pixd != pixs   (puts result into existing pixd)
+ *      (5) For clarity, if the case is known, use these patterns:
+ *          (a) pixd = pixOpenBrick(NULL, pixs, ...);
+ *          (b) pixOpenBrick(pixs, pixs, ...);
+ *          (c) pixOpenBrick(pixd, pixs, ...);
+ *      (6) The size of the result is determined by pixs.
+ * </pre>
+ */
+PIX *
+pixOpenBrick(PIX     *pixd,
+             PIX     *pixs,
+             l_int32  hsize,
+             l_int32  vsize)
+{
+PIX  *pixt;
+SEL  *sel, *selh, *selv;
+
+    if (!pixs)
+        return (PIX *)ERROR_PTR("pixs not defined", __func__, pixd);
+    if (pixGetDepth(pixs) != 1)
+        return (PIX *)ERROR_PTR("pixs not 1 bpp", __func__, pixd);
+    if (hsize < 1 || vsize < 1)
+        return (PIX *)ERROR_PTR("hsize and vsize not >= 1", __func__, pixd);
+
+    if (hsize == 1 && vsize == 1)
+        return pixCopy(pixd, pixs);
+    if (hsize == 1 || vsize == 1) {  /* no intermediate result */
+        sel = selCreateBrick(vsize, hsize, vsize / 2, hsize / 2, SEL_HIT);
+        if (!sel)
+            return (PIX *)ERROR_PTR("sel not made", __func__, pixd);
+        pixd = pixOpen(pixd, pixs, sel);
+        selDestroy(&sel);
+    } else {  /* do separably */
+        if ((selh = selCreateBrick(1, hsize, 0, hsize / 2, SEL_HIT)) == NULL)
+            return (PIX *)ERROR_PTR("selh not made", __func__, pixd);
+        if ((selv = selCreateBrick(vsize, 1, vsize / 2, 0, SEL_HIT)) == NULL) {
+            selDestroy(&selh);
+            return (PIX *)ERROR_PTR("selv not made", __func__, pixd);
+        }
+        pixt = pixErode(NULL, pixs, selh);
+        pixd = pixErode(pixd, pixt, selv);
+        pixDilate(pixt, pixd, selh);
+        pixDilate(pixd, pixt, selv);
+        pixDestroy(&pixt);
+        selDestroy(&selh);
+        selDestroy(&selv);
+    }
+
+    return pixd;
+}
+
+
+/*!
+ * \brief   pixCloseBrick()
+ *
+ * \param[in]    pixd    [optional]; this can be null, equal to pixs,
+ *                       or different from pixs
+ * \param[in]    pixs    1 bpp
+ * \param[in]    hsize   width of brick Sel
+ * \param[in]    vsize   height of brick Sel
+ * \return  pixd, or NULL on error
+ *
+ * <pre>
+ * Notes:
+ *      (1) Sel is a brick with all elements being hits
+ *      (2) The origin is at (x, y) = (hsize/2, vsize/2)
+ *      (3) Do separably if both hsize and vsize are > 1.
+ *      (4) There are three cases:
+ *          (a) pixd == null   (result into new pixd)
+ *          (b) pixd == pixs   (in-place; writes result back to pixs)
+ *          (c) pixd != pixs   (puts result into existing pixd)
+ *      (5) For clarity, if the case is known, use these patterns:
+ *          (a) pixd = pixCloseBrick(NULL, pixs, ...);
+ *          (b) pixCloseBrick(pixs, pixs, ...);
+ *          (c) pixCloseBrick(pixd, pixs, ...);
+ *      (6) The size of the result is determined by pixs.
+ * </pre>
+ */
+PIX *
+pixCloseBrick(PIX     *pixd,
+              PIX     *pixs,
+              l_int32  hsize,
+              l_int32  vsize)
+{
+PIX  *pixt;
+SEL  *sel, *selh, *selv;
+
+    if (!pixs)
+        return (PIX *)ERROR_PTR("pixs not defined", __func__, pixd);
+    if (pixGetDepth(pixs) != 1)
+        return (PIX *)ERROR_PTR("pixs not 1 bpp", __func__, pixd);
+    if (hsize < 1 || vsize < 1)
+        return (PIX *)ERROR_PTR("hsize and vsize not >= 1", __func__, pixd);
+
+    if (hsize == 1 && vsize == 1)
+        return pixCopy(pixd, pixs);
+    if (hsize == 1 || vsize == 1) {  /* no intermediate result */
+        sel = selCreateBrick(vsize, hsize, vsize / 2, hsize / 2, SEL_HIT);
+        if (!sel)
+            return (PIX *)ERROR_PTR("sel not made", __func__, pixd);
+        pixd = pixClose(pixd, pixs, sel);
+        selDestroy(&sel);
+    } else {  /* do separably */
+        if ((selh = selCreateBrick(1, hsize, 0, hsize / 2, SEL_HIT)) == NULL)
+            return (PIX *)ERROR_PTR("selh not made", __func__, pixd);
+        if ((selv = selCreateBrick(vsize, 1, vsize / 2, 0, SEL_HIT)) == NULL) {
+            selDestroy(&selh);
+            return (PIX *)ERROR_PTR("selv not made", __func__, pixd);
+        }
+        pixt = pixDilate(NULL, pixs, selh);
+        pixd = pixDilate(pixd, pixt, selv);
+        pixErode(pixt, pixd, selh);
+        pixErode(pixd, pixt, selv);
+        pixDestroy(&pixt);
+        selDestroy(&selh);
+        selDestroy(&selv);
+    }
+
+    return pixd;
+}
+
+
+/*!
+ * \brief   pixCloseSafeBrick()
+ *
+ * \param[in]    pixd    [optional]; this can be null, equal to pixs,
+ *                       or different from pixs
+ * \param[in]    pixs    1 bpp
+ * \param[in]    hsize   width of brick Sel
+ * \param[in]    vsize   height of brick Sel
+ * \return  pixd, or NULL on error
+ *
+ * <pre>
+ * Notes:
+ *      (1) Sel is a brick with all elements being hits
+ *      (2) The origin is at (x, y) = (hsize/2, vsize/2)
+ *      (3) Do separably if both hsize and vsize are > 1.
+ *      (4) Safe closing adds a border of 0 pixels, of sufficient size so
+ *          that all pixels in input image are processed within
+ *          32-bit words in the expanded image.  As a result, there is
+ *          no special processing for pixels near the boundary, and there
+ *          are no boundary effects.  The border is removed at the end.
+ *      (5) There are three cases:
+ *          (a) pixd == null   (result into new pixd)
+ *          (b) pixd == pixs   (in-place; writes result back to pixs)
+ *          (c) pixd != pixs   (puts result into existing pixd)
+ *      (6) For clarity, if the case is known, use these patterns:
+ *          (a) pixd = pixCloseBrick(NULL, pixs, ...);
+ *          (b) pixCloseBrick(pixs, pixs, ...);
+ *          (c) pixCloseBrick(pixd, pixs, ...);
+ *      (7) The size of the result is determined by pixs.
+ * </pre>
+ */
+PIX *
+pixCloseSafeBrick(PIX     *pixd,
+                  PIX     *pixs,
+                  l_int32  hsize,
+                  l_int32  vsize)
+{
+l_int32  maxtrans, bordsize;
+PIX     *pixsb, *pixt, *pixdb;
+SEL     *sel, *selh, *selv;
+
+    if (!pixs)
+        return (PIX *)ERROR_PTR("pixs not defined", __func__, pixd);
+    if (pixGetDepth(pixs) != 1)
+        return (PIX *)ERROR_PTR("pixs not 1 bpp", __func__, pixd);
+    if (hsize < 1 || vsize < 1)
+        return (PIX *)ERROR_PTR("hsize and vsize not >= 1", __func__, pixd);
+
+    if (hsize == 1 && vsize == 1)
+        return pixCopy(pixd, pixs);
+
+        /* Symmetric b.c. handles correctly without added pixels */
+    if (MORPH_BC == SYMMETRIC_MORPH_BC)
+        return pixCloseBrick(pixd, pixs, hsize, vsize);
+
+    maxtrans = L_MAX(hsize / 2, vsize / 2);
+    bordsize = 32 * ((maxtrans + 31) / 32);  /* full 32 bit words */
+    pixsb = pixAddBorder(pixs, bordsize, 0);
+
+    if (hsize == 1 || vsize == 1) {  /* no intermediate result */
+        sel = selCreateBrick(vsize, hsize, vsize / 2, hsize / 2, SEL_HIT);
+        if (!sel) {
+            pixDestroy(&pixsb);
+            return (PIX *)ERROR_PTR("sel not made", __func__, pixd);
+        }
+        pixdb = pixClose(NULL, pixsb, sel);
+        selDestroy(&sel);
+    } else {  /* do separably */
+        selh = selCreateBrick(1, hsize, 0, hsize / 2, SEL_HIT);
+        selv = selCreateBrick(vsize, 1, vsize / 2, 0, SEL_HIT);
+        if (!selh || !selv) {
+            selDestroy(&selh);
+            selDestroy(&selv);
+            pixDestroy(&pixsb);
+            return (PIX *)ERROR_PTR("selh and selv not both made",
+                                    __func__, pixd);
+        }
+        pixt = pixDilate(NULL, pixsb, selh);
+        pixdb = pixDilate(NULL, pixt, selv);
+        pixErode(pixt, pixdb, selh);
+        pixErode(pixdb, pixt, selv);
+        pixDestroy(&pixt);
+        selDestroy(&selh);
+        selDestroy(&selv);
+    }
+
+    pixt = pixRemoveBorder(pixdb, bordsize);
+    pixDestroy(&pixsb);
+    pixDestroy(&pixdb);
+
+    if (!pixd) {
+        pixd = pixt;
+    } else {
+        pixCopy(pixd, pixt);
+        pixDestroy(&pixt);
+    }
+    return pixd;
+}
+
+
+/*-----------------------------------------------------------------*
+ *     Binary composed morphological (raster) ops with brick Sels  *
+ *-----------------------------------------------------------------*/
+/* \brief   selectComposableSels()
+ *
+ * \param[in]    size         of composed sel
+ * \param[in]    direction    L_HORIZ, L_VERT
+ * \param[out]   psel1        [optional] contiguous sel; can be null
+ * \param[out]   psel2        [optional] comb sel; can be null
+ * \return   0 if OK, 1 on error
+ *
+ * <pre>
+ * Notes:
+ *      (1) When using composable Sels, where the original Sel is
+ *          decomposed into two, the best you can do in terms
+ *          of reducing the computation is by a factor:
+ *
+ *               2 * sqrt(size) / size
+ *
+ *          In practice, you get quite close to this.  E.g.,
+ *
+ *             Sel size     |   Optimum reduction factor
+ *             --------         ------------------------
+ *                36        |          1/3
+ *                64        |          1/4
+ *               144        |          1/6
+ *               256        |          1/8
+ * </pre>
+ */
+l_int32
+selectComposableSels(l_int32  size,
+                     l_int32  direction,
+                     SEL    **psel1,
+                     SEL    **psel2)
+{
+l_int32  factor1, factor2;
+
+    if (!psel1 && !psel2)
+        return ERROR_INT("neither &sel1 nor &sel2 are defined", __func__, 1);
+    if (psel1) *psel1 = NULL;
+    if (psel2) *psel2 = NULL;
+    if (size < 1 || size > 10000)
+        return ERROR_INT("size < 1 or size > 10000", __func__, 1);
+    if (direction != L_HORIZ && direction != L_VERT)
+        return ERROR_INT("invalid direction", __func__, 1);
+
+    if (selectComposableSizes(size, &factor1, &factor2))
+        return ERROR_INT("factors not found", __func__, 1);
+
+    if (psel1) {
+        if (direction == L_HORIZ)
+            *psel1 = selCreateBrick(1, factor1, 0, factor1 / 2, SEL_HIT);
+        else
+            *psel1 = selCreateBrick(factor1, 1, factor1 / 2 , 0, SEL_HIT);
+    }
+    if (psel2)
+        *psel2 = selCreateComb(factor1, factor2, direction);
+    return 0;
+}
+
+
+/*!
+ * \brief   selectComposableSizes()
+ *
+ * \param[in]    size       of sel to be decomposed
+ * \param[out]   pfactor1   larger factor
+ * \param[out]   pfactor2   smaller factor
+ * \return  0 if OK, 1 on error
+ *
+ * <pre>
+ * Notes:
+ *      (1) This works for Sel sizes up to 10000, which seems sufficient.
+ *      (2) The composable sel size is typically within +- 1 of
+ *          the requested size.  Up to size = 300, the maximum difference
+ *          is +- 2.
+ *      (3) We choose an overall cost function where the penalty for
+ *          the size difference between input and actual is 4 times
+ *          the penalty for additional rasterops.
+ *      (4) Returned values: factor1 >= factor2
+ *          If size > 1, then factor1 > 1.
+ * </pre>
+ */
+l_ok
+selectComposableSizes(l_int32   size,
+                      l_int32  *pfactor1,
+                      l_int32  *pfactor2)
+{
+l_int32  i, midval, val1, val2m, val2p;
+l_int32  index, prodm, prodp;
+l_int32  mincost, totcost, rastcostm, rastcostp, diffm, diffp;
+l_int32  lowval[256];
+l_int32  hival[256];
+l_int32  rastcost[256];  /* excess in sum of sizes (extra rasterops) */
+l_int32  diff[256];  /* diff between product (sel size) and input size */
+
+    if (size < 1 || size > 10000)
+        return ERROR_INT("size < 1 or size > 10000", __func__, 1);
+    if (!pfactor1 || !pfactor2)
+        return ERROR_INT("&factor1 or &factor2 not defined", __func__, 1);
+
+    midval = (l_int32)(sqrt((l_float64)size) + 0.001);
+    if (midval * midval == size) {
+        *pfactor1 = *pfactor2 = midval;
+        return 0;
+    }
+
+        /* Set up arrays.  For each val1, optimize for lowest diff,
+         * and save the rastcost, the diff, and the two factors. */
+    for (val1 = midval + 1, i = 0; val1 > 0; val1--, i++) {
+        val2m = size / val1;
+        val2p = val2m + 1;
+        prodm = val1 * val2m;
+        prodp = val1 * val2p;
+        rastcostm = val1 + val2m - 2 * midval;
+        rastcostp = val1 + val2p - 2 * midval;
+        diffm = L_ABS(size - prodm);
+        diffp = L_ABS(size - prodp);
+        if (diffm <= diffp) {
+            lowval[i] = L_MIN(val1, val2m);
+            hival[i] = L_MAX(val1, val2m);
+            rastcost[i] = rastcostm;
+            diff[i] = diffm;
+        } else {
+            lowval[i] = L_MIN(val1, val2p);
+            hival[i] = L_MAX(val1, val2p);
+            rastcost[i] = rastcostp;
+            diff[i] = diffp;
+        }
+    }
+
+        /* Choose the optimum factors; use cost ratio 4 on diff */
+    mincost = 10000;
+    index = 1;  /* unimportant initial value */
+    for (i = 0; i < midval + 1; i++) {
+        if (diff[i] == 0 && rastcost[i] < ACCEPTABLE_COST) {
+            *pfactor1 = hival[i];
+            *pfactor2 = lowval[i];
+            return 0;
+        }
+        totcost = 4 * diff[i] + rastcost[i];
+        if (totcost < mincost) {
+            mincost = totcost;
+            index = i;
+        }
+    }
+    *pfactor1 = hival[index];
+    *pfactor2 = lowval[index];
+
+    return 0;
+}
+
+
+/*!
+ * \brief   pixDilateCompBrick()
+ *
+ * \param[in]    pixd    [optional]; this can be null, equal to pixs,
+ *                       or different from pixs
+ * \param[in]    pixs    1 bpp
+ * \param[in]    hsize   width of brick Sel
+ * \param[in]    vsize   height of brick Sel
+ * \return  pixd, or NULL on error
+ *
+ * <pre>
+ * Notes:
+ *      (1) Sel is a brick with all elements being hits
+ *      (2) The origin is at (x, y) = (hsize/2, vsize/2)
+ *      (3) Do compositely for each dimension > 1.
+ *      (4) Do separably if both hsize and vsize are > 1.
+ *      (5) There are three cases:
+ *          (a) pixd == null   (result into new pixd)
+ *          (b) pixd == pixs   (in-place; writes result back to pixs)
+ *          (c) pixd != pixs   (puts result into existing pixd)
+ *      (6) For clarity, if the case is known, use these patterns:
+ *          (a) pixd = pixDilateCompBrick(NULL, pixs, ...);
+ *          (b) pixDilateCompBrick(pixs, pixs, ...);
+ *          (c) pixDilateCompBrick(pixd, pixs, ...);
+ *      (7) The dimensions of the resulting image are determined by pixs.
+ *      (8) CAUTION: both hsize and vsize are being decomposed.
+ *          The decomposer chooses a product of sizes (call them
+ *          'terms') for each that is close to the input size,
+ *          but not necessarily equal to it.  It attempts to optimize:
+ *             (a) for consistency with the input values: the product
+ *                 of terms is close to the input size
+ *             (b) for efficiency of the operation: the sum of the
+ *                 terms is small; ideally about twice the square
+ *                 root of the input size.
+ *          So, for example, if the input hsize = 37, which is
+ *          a prime number, the decomposer will break this into two
+ *          terms, 6 and 6, so that the net result is a dilation
+ *          with hsize = 36.
+ * </pre>
+ */
+PIX *
+pixDilateCompBrick(PIX     *pixd,
+                   PIX     *pixs,
+                   l_int32  hsize,
+                   l_int32  vsize)
+{
+PIX  *pix1, *pix2, *pix3;
+SEL  *selh1 = NULL;
+SEL  *selh2 = NULL;
+SEL  *selv1 = NULL;
+SEL  *selv2 = NULL;
+
+    if (!pixs)
+        return (PIX *)ERROR_PTR("pixs not defined", __func__, pixd);
+    if (pixGetDepth(pixs) != 1)
+        return (PIX *)ERROR_PTR("pixs not 1 bpp", __func__, pixd);
+    if (hsize < 1 || vsize < 1)
+        return (PIX *)ERROR_PTR("hsize and vsize not >= 1", __func__, pixd);
+
+    if (hsize == 1 && vsize == 1)
+        return pixCopy(pixd, pixs);
+    if (hsize > 1) {
+        if (selectComposableSels(hsize, L_HORIZ, &selh1, &selh2)) {
+            selDestroy(&selh1);
+            selDestroy(&selh2);
+            return (PIX *)ERROR_PTR("horiz sels not made", __func__, pixd);
+        }
+    }
+    if (vsize > 1) {
+        if (selectComposableSels(vsize, L_VERT, &selv1, &selv2)) {
+            selDestroy(&selh1);
+            selDestroy(&selh2);
+            selDestroy(&selv1);
+            selDestroy(&selv2);
+            return (PIX *)ERROR_PTR("vert sels not made", __func__, pixd);
+        }
+    }
+
+    pix1 = pixAddBorder(pixs, 32, 0);
+    if (vsize == 1) {
+        pix2 = pixDilate(NULL, pix1, selh1);
+        pix3 = pixDilate(NULL, pix2, selh2);
+    } else if (hsize == 1) {
+        pix2 = pixDilate(NULL, pix1, selv1);
+        pix3 = pixDilate(NULL, pix2, selv2);
+    } else {
+        pix2 = pixDilate(NULL, pix1, selh1);
+        pix3 = pixDilate(NULL, pix2, selh2);
+        pixDilate(pix2, pix3, selv1);
+        pixDilate(pix3, pix2, selv2);
+    }
+    pixDestroy(&pix1);
+    pixDestroy(&pix2);
+
+    selDestroy(&selh1);
+    selDestroy(&selh2);
+    selDestroy(&selv1);
+    selDestroy(&selv2);
+
+    pix1 = pixRemoveBorder(pix3, 32);
+    pixDestroy(&pix3);
+    if (!pixd)
+        return pix1;
+    pixCopy(pixd, pix1);
+    pixDestroy(&pix1);
+    return pixd;
+}
+
+
+/*!
+ * \brief   pixErodeCompBrick()
+ *
+ * \param[in]    pixd    [optional]; this can be null, equal to pixs,
+ *                       or different from pixs
+ * \param[in]    pixs    1 bpp
+ * \param[in]    hsize   width of brick Sel
+ * \param[in]    vsize   height of brick Sel
+ * \return  pixd, or NULL on error
+ *
+ * <pre>
+ * Notes:
+ *      (1) Sel is a brick with all elements being hits
+ *      (2) The origin is at (x, y) = (hsize/2, vsize/2)
+ *      (3) Do compositely for each dimension > 1.
+ *      (4) Do separably if both hsize and vsize are > 1.
+ *      (5) There are three cases:
+ *          (a) pixd == null   (result into new pixd)
+ *          (b) pixd == pixs   (in-place; writes result back to pixs)
+ *          (c) pixd != pixs   (puts result into existing pixd)
+ *      (6) For clarity, if the case is known, use these patterns:
+ *          (a) pixd = pixErodeCompBrick(NULL, pixs, ...);
+ *          (b) pixErodeCompBrick(pixs, pixs, ...);
+ *          (c) pixErodeCompBrick(pixd, pixs, ...);
+ *      (7) The dimensions of the resulting image are determined by pixs.
+ *      (8) CAUTION: both hsize and vsize are being decomposed.
+ *          The decomposer chooses a product of sizes (call them
+ *          'terms') for each that is close to the input size,
+ *          but not necessarily equal to it.  It attempts to optimize:
+ *             (a) for consistency with the input values: the product
+ *                 of terms is close to the input size
+ *             (b) for efficiency of the operation: the sum of the
+ *                 terms is small; ideally about twice the square
+ *                 root of the input size.
+ *          So, for example, if the input hsize = 37, which is
+ *          a prime number, the decomposer will break this into two
+ *          terms, 6 and 6, so that the net result is a dilation
+ *          with hsize = 36.
+ * </pre>
+ */
+PIX *
+pixErodeCompBrick(PIX     *pixd,
+                  PIX     *pixs,
+                  l_int32  hsize,
+                  l_int32  vsize)
+{
+PIX  *pixt;
+SEL  *selh1 = NULL;
+SEL  *selh2 = NULL;
+SEL  *selv1 = NULL;
+SEL  *selv2 = NULL;
+
+    if (!pixs)
+        return (PIX *)ERROR_PTR("pixs not defined", __func__, pixd);
+    if (pixGetDepth(pixs) != 1)
+        return (PIX *)ERROR_PTR("pixs not 1 bpp", __func__, pixd);
+    if (hsize < 1 || vsize < 1)
+        return (PIX *)ERROR_PTR("hsize and vsize not >= 1", __func__, pixd);
+
+    if (hsize == 1 && vsize == 1)
+        return pixCopy(pixd, pixs);
+    if (hsize > 1) {
+        if (selectComposableSels(hsize, L_HORIZ, &selh1, &selh2)) {
+            selDestroy(&selh1);
+            selDestroy(&selh2);
+            return (PIX *)ERROR_PTR("horiz sels not made", __func__, pixd);
+        }
+    }
+    if (vsize > 1) {
+        if (selectComposableSels(vsize, L_VERT, &selv1, &selv2)) {
+            selDestroy(&selh1);
+            selDestroy(&selh2);
+            selDestroy(&selv1);
+            selDestroy(&selv2);
+            return (PIX *)ERROR_PTR("vert sels not made", __func__, pixd);
+        }
+    }
+
+    if (vsize == 1) {
+        pixt = pixErode(NULL, pixs, selh1);
+        pixd = pixErode(pixd, pixt, selh2);
+    } else if (hsize == 1) {
+        pixt = pixErode(NULL, pixs, selv1);
+        pixd = pixErode(pixd, pixt, selv2);
+    } else {
+        pixt = pixErode(NULL, pixs, selh1);
+        pixd = pixErode(pixd, pixt, selh2);
+        pixErode(pixt, pixd, selv1);
+        pixErode(pixd, pixt, selv2);
+    }
+    pixDestroy(&pixt);
+
+    selDestroy(&selh1);
+    selDestroy(&selh2);
+    selDestroy(&selv1);
+    selDestroy(&selv2);
+    return pixd;
+}
+
+
+/*!
+ * \brief   pixOpenCompBrick()
+ *
+ * \param[in]    pixd    [optional]; this can be null, equal to pixs,
+ *                       or different from pixs
+ * \param[in]    pixs    1 bpp
+ * \param[in]    hsize   width of brick Sel
+ * \param[in]    vsize   height of brick Sel
+ * \return  pixd, or NULL on error
+ *
+ * <pre>
+ * Notes:
+ *      (1) Sel is a brick with all elements being hits
+ *      (2) The origin is at (x, y) = (hsize/2, vsize/2)
+ *      (3) Do compositely for each dimension > 1.
+ *      (4) Do separably if both hsize and vsize are > 1.
+ *      (5) There are three cases:
+ *          (a) pixd == null   (result into new pixd)
+ *          (b) pixd == pixs   (in-place; writes result back to pixs)
+ *          (c) pixd != pixs   (puts result into existing pixd)
+ *      (6) For clarity, if the case is known, use these patterns:
+ *          (a) pixd = pixOpenCompBrick(NULL, pixs, ...);
+ *          (b) pixOpenCompBrick(pixs, pixs, ...);
+ *          (c) pixOpenCompBrick(pixd, pixs, ...);
+ *      (7) The dimensions of the resulting image are determined by pixs.
+ *      (8) CAUTION: both hsize and vsize are being decomposed.
+ *          The decomposer chooses a product of sizes (call them
+ *          'terms') for each that is close to the input size,
+ *          but not necessarily equal to it.  It attempts to optimize:
+ *             (a) for consistency with the input values: the product
+ *                 of terms is close to the input size
+ *             (b) for efficiency of the operation: the sum of the
+ *                 terms is small; ideally about twice the square
+ *                 root of the input size.
+ *          So, for example, if the input hsize = 37, which is
+ *          a prime number, the decomposer will break this into two
+ *          terms, 6 and 6, so that the net result is a dilation
+ *          with hsize = 36.
+ * </pre>
+ */
+PIX *
+pixOpenCompBrick(PIX     *pixd,
+                 PIX     *pixs,
+                 l_int32  hsize,
+                 l_int32  vsize)
+{
+PIX  *pixt;
+SEL  *selh1 = NULL;
+SEL  *selh2 = NULL;
+SEL  *selv1 = NULL;
+SEL  *selv2 = NULL;
+
+    if (!pixs)
+        return (PIX *)ERROR_PTR("pixs not defined", __func__, pixd);
+    if (pixGetDepth(pixs) != 1)
+        return (PIX *)ERROR_PTR("pixs not 1 bpp", __func__, pixd);
+    if (hsize < 1 || vsize < 1)
+        return (PIX *)ERROR_PTR("hsize and vsize not >= 1", __func__, pixd);
+
+    if (hsize == 1 && vsize == 1)
+        return pixCopy(pixd, pixs);
+    if (hsize > 1) {
+        if (selectComposableSels(hsize, L_HORIZ, &selh1, &selh2)) {
+            selDestroy(&selh1);
+            selDestroy(&selh2);
+            return (PIX *)ERROR_PTR("horiz sels not made", __func__, pixd);
+        }
+    }
+    if (vsize > 1) {
+        if (selectComposableSels(vsize, L_VERT, &selv1, &selv2)) {
+            selDestroy(&selh1);
+            selDestroy(&selh2);
+            selDestroy(&selv1);
+            selDestroy(&selv2);
+            return (PIX *)ERROR_PTR("vert sels not made", __func__, pixd);
+        }
+    }
+
+    if (vsize == 1) {
+        pixt = pixErode(NULL, pixs, selh1);
+        pixd = pixErode(pixd, pixt, selh2);
+        pixDilate(pixt, pixd, selh1);
+        pixDilate(pixd, pixt, selh2);
+    } else if (hsize == 1) {
+        pixt = pixErode(NULL, pixs, selv1);
+        pixd = pixErode(pixd, pixt, selv2);
+        pixDilate(pixt, pixd, selv1);
+        pixDilate(pixd, pixt, selv2);
+    } else {  /* do separably */
+        pixt = pixErode(NULL, pixs, selh1);
+        pixd = pixErode(pixd, pixt, selh2);
+        pixErode(pixt, pixd, selv1);
+        pixErode(pixd, pixt, selv2);
+        pixDilate(pixt, pixd, selh1);
+        pixDilate(pixd, pixt, selh2);
+        pixDilate(pixt, pixd, selv1);
+        pixDilate(pixd, pixt, selv2);
+    }
+    pixDestroy(&pixt);
+
+    selDestroy(&selh1);
+    selDestroy(&selh2);
+    selDestroy(&selv1);
+    selDestroy(&selv2);
+    return pixd;
+}
+
+
+/*!
+ * \brief   pixCloseCompBrick()
+ *
+ * \param[in]    pixd    [optional]; this can be null, equal to pixs,
+ *                       or different from pixs
+ * \param[in]    pixs    1 bpp
+ * \param[in]    hsize   width of brick Sel
+ * \param[in]    vsize   height of brick Sel
+ * \return  pixd, or NULL on error
+ *
+ * <pre>
+ * Notes:
+ *      (1) Sel is a brick with all elements being hits
+ *      (2) The origin is at (x, y) = (hsize/2, vsize/2)
+ *      (3) Do compositely for each dimension > 1.
+ *      (4) Do separably if both hsize and vsize are > 1.
+ *      (5) There are three cases:
+ *          (a) pixd == null   (result into new pixd)
+ *          (b) pixd == pixs   (in-place; writes result back to pixs)
+ *          (c) pixd != pixs   (puts result into existing pixd)
+ *      (6) For clarity, if the case is known, use these patterns:
+ *          (a) pixd = pixCloseCompBrick(NULL, pixs, ...);
+ *          (b) pixCloseCompBrick(pixs, pixs, ...);
+ *          (c) pixCloseCompBrick(pixd, pixs, ...);
+ *      (7) The dimensions of the resulting image are determined by pixs.
+ *      (8) CAUTION: both hsize and vsize are being decomposed.
+ *          The decomposer chooses a product of sizes (call them
+ *          'terms') for each that is close to the input size,
+ *          but not necessarily equal to it.  It attempts to optimize:
+ *             (a) for consistency with the input values: the product
+ *                 of terms is close to the input size
+ *             (b) for efficiency of the operation: the sum of the
+ *                 terms is small; ideally about twice the square
+ *                 root of the input size.
+ *          So, for example, if the input hsize = 37, which is
+ *          a prime number, the decomposer will break this into two
+ *          terms, 6 and 6, so that the net result is a dilation
+ *          with hsize = 36.
+ * </pre>
+ */
+PIX *
+pixCloseCompBrick(PIX     *pixd,
+                  PIX     *pixs,
+                  l_int32  hsize,
+                  l_int32  vsize)
+{
+PIX  *pixt;
+SEL  *selh1 = NULL;
+SEL  *selh2 = NULL;
+SEL  *selv1 = NULL;
+SEL  *selv2 = NULL;
+
+    if (!pixs)
+        return (PIX *)ERROR_PTR("pixs not defined", __func__, pixd);
+    if (pixGetDepth(pixs) != 1)
+        return (PIX *)ERROR_PTR("pixs not 1 bpp", __func__, pixd);
+    if (hsize < 1 || vsize < 1)
+        return (PIX *)ERROR_PTR("hsize and vsize not >= 1", __func__, pixd);
+
+    if (hsize == 1 && vsize == 1)
+        return pixCopy(pixd, pixs);
+    if (hsize > 1) {
+        if (selectComposableSels(hsize, L_HORIZ, &selh1, &selh2)) {
+            selDestroy(&selh1);
+            selDestroy(&selh2);
+            return (PIX *)ERROR_PTR("horiz sels not made", __func__, pixd);
+        }
+    }
+    if (vsize > 1) {
+        if (selectComposableSels(vsize, L_VERT, &selv1, &selv2)) {
+            selDestroy(&selh1);
+            selDestroy(&selh2);
+            selDestroy(&selv1);
+            selDestroy(&selv2);
+            return (PIX *)ERROR_PTR("vert sels not made", __func__, pixd);
+        }
+    }
+
+    if (vsize == 1) {
+        pixt = pixDilate(NULL, pixs, selh1);
+        pixd = pixDilate(pixd, pixt, selh2);
+        pixErode(pixt, pixd, selh1);
+        pixErode(pixd, pixt, selh2);
+    } else if (hsize == 1) {
+        pixt = pixDilate(NULL, pixs, selv1);
+        pixd = pixDilate(pixd, pixt, selv2);
+        pixErode(pixt, pixd, selv1);
+        pixErode(pixd, pixt, selv2);
+    } else {  /* do separably */
+        pixt = pixDilate(NULL, pixs, selh1);
+        pixd = pixDilate(pixd, pixt, selh2);
+        pixDilate(pixt, pixd, selv1);
+        pixDilate(pixd, pixt, selv2);
+        pixErode(pixt, pixd, selh1);
+        pixErode(pixd, pixt, selh2);
+        pixErode(pixt, pixd, selv1);
+        pixErode(pixd, pixt, selv2);
+    }
+    pixDestroy(&pixt);
+
+    selDestroy(&selh1);
+    selDestroy(&selh2);
+    selDestroy(&selv1);
+    selDestroy(&selv2);
+    return pixd;
+}
+
+
+/*!
+ * \brief   pixCloseSafeCompBrick()
+ *
+ * \param[in]    pixd    [optional]; this can be null, equal to pixs,
+ *                       or different from pixs
+ * \param[in]    pixs    1 bpp
+ * \param[in]    hsize   width of brick Sel
+ * \param[in]    vsize   height of brick Sel
+ * \return  pixd, or NULL on error
+ *
+ * <pre>
+ * Notes:
+ *      (1) Sel is a brick with all elements being hits
+ *      (2) The origin is at (x, y) = (hsize/2, vsize/2)
+ *      (3) Do compositely for each dimension > 1.
+ *      (4) Do separably if both hsize and vsize are > 1.
+ *      (5) Safe closing adds a border of 0 pixels, of sufficient size so
+ *          that all pixels in input image are processed within
+ *          32-bit words in the expanded image.  As a result, there is
+ *          no special processing for pixels near the boundary, and there
+ *          are no boundary effects.  The border is removed at the end.
+ *      (6) There are three cases:
+ *          (a) pixd == null   (result into new pixd)
+ *          (b) pixd == pixs   (in-place; writes result back to pixs)
+ *          (c) pixd != pixs   (puts result into existing pixd)
+ *      (7) For clarity, if the case is known, use these patterns:
+ *          (a) pixd = pixCloseSafeCompBrick(NULL, pixs, ...);
+ *          (b) pixCloseSafeCompBrick(pixs, pixs, ...);
+ *          (c) pixCloseSafeCompBrick(pixd, pixs, ...);
+ *      (8) The dimensions of the resulting image are determined by pixs.
+ *      (9) CAUTION: both hsize and vsize are being decomposed.
+ *          The decomposer chooses a product of sizes (call them
+ *          'terms') for each that is close to the input size,
+ *          but not necessarily equal to it.  It attempts to optimize:
+ *             (a) for consistency with the input values: the product
+ *                 of terms is close to the input size
+ *             (b) for efficiency of the operation: the sum of the
+ *                 terms is small; ideally about twice the square
+ *                 root of the input size.
+ *          So, for example, if the input hsize = 37, which is
+ *          a prime number, the decomposer will break this into two
+ *          terms, 6 and 6, so that the net result is a dilation
+ *          with hsize = 36.
+ * </pre>
+ */
+PIX *
+pixCloseSafeCompBrick(PIX     *pixd,
+                      PIX     *pixs,
+                      l_int32  hsize,
+                      l_int32  vsize)
+{
+l_int32  maxtrans, bordsize;
+PIX     *pixsb, *pixt, *pixdb;
+SEL     *selh1 = NULL;
+SEL     *selh2 = NULL;
+SEL     *selv1 = NULL;
+SEL     *selv2 = NULL;
+
+    if (!pixs)
+        return (PIX *)ERROR_PTR("pixs not defined", __func__, pixd);
+    if (pixGetDepth(pixs) != 1)
+        return (PIX *)ERROR_PTR("pixs not 1 bpp", __func__, pixd);
+    if (hsize < 1 || vsize < 1)
+        return (PIX *)ERROR_PTR("hsize and vsize not >= 1", __func__, pixd);
+
+    if (hsize == 1 && vsize == 1)
+        return pixCopy(pixd, pixs);
+
+        /* Symmetric b.c. handles correctly without added pixels */
+    if (MORPH_BC == SYMMETRIC_MORPH_BC)
+        return pixCloseCompBrick(pixd, pixs, hsize, vsize);
+
+    if (hsize > 1) {
+        if (selectComposableSels(hsize, L_HORIZ, &selh1, &selh2)) {
+            selDestroy(&selh1);
+            selDestroy(&selh2);
+            return (PIX *)ERROR_PTR("horiz sels not made", __func__, pixd);
+        }
+    }
+    if (vsize > 1) {
+        if (selectComposableSels(vsize, L_VERT, &selv1, &selv2)) {
+            selDestroy(&selh1);
+            selDestroy(&selh2);
+            selDestroy(&selv1);
+            selDestroy(&selv2);
+            return (PIX *)ERROR_PTR("vert sels not made", __func__, pixd);
+        }
+    }
+
+    maxtrans = L_MAX(hsize / 2, vsize / 2);
+    bordsize = 32 * ((maxtrans + 31) / 32);  /* full 32 bit words */
+    pixsb = pixAddBorder(pixs, bordsize, 0);
+
+    if (vsize == 1) {
+        pixt = pixDilate(NULL, pixsb, selh1);
+        pixdb = pixDilate(NULL, pixt, selh2);
+        pixErode(pixt, pixdb, selh1);
+        pixErode(pixdb, pixt, selh2);
+    } else if (hsize == 1) {
+        pixt = pixDilate(NULL, pixsb, selv1);
+        pixdb = pixDilate(NULL, pixt, selv2);
+        pixErode(pixt, pixdb, selv1);
+        pixErode(pixdb, pixt, selv2);
+    } else {  /* do separably */
+        pixt = pixDilate(NULL, pixsb, selh1);
+        pixdb = pixDilate(NULL, pixt, selh2);
+        pixDilate(pixt, pixdb, selv1);
+        pixDilate(pixdb, pixt, selv2);
+        pixErode(pixt, pixdb, selh1);
+        pixErode(pixdb, pixt, selh2);
+        pixErode(pixt, pixdb, selv1);
+        pixErode(pixdb, pixt, selv2);
+    }
+    pixDestroy(&pixt);
+
+    pixt = pixRemoveBorder(pixdb, bordsize);
+    pixDestroy(&pixsb);
+    pixDestroy(&pixdb);
+
+    if (!pixd) {
+        pixd = pixt;
+    } else {
+        pixCopy(pixd, pixt);
+        pixDestroy(&pixt);
+    }
+
+    selDestroy(&selh1);
+    selDestroy(&selh2);
+    selDestroy(&selv1);
+    selDestroy(&selv2);
+    return pixd;
+}
+
+
+/*-----------------------------------------------------------------*
+ *           Functions associated with boundary conditions         *
+ *-----------------------------------------------------------------*/
+/*!
+ * \brief   resetMorphBoundaryCondition()
+ *
+ * \param[in]    bc    SYMMETRIC_MORPH_BC, ASYMMETRIC_MORPH_BC
+ * \return  void
+ */
+void
+resetMorphBoundaryCondition(l_int32  bc)
+{
+    if (bc != SYMMETRIC_MORPH_BC && bc != ASYMMETRIC_MORPH_BC) {
+        L_WARNING("invalid bc; using asymmetric\n", __func__);
+        bc = ASYMMETRIC_MORPH_BC;
+    }
+    MORPH_BC = bc;
+    return;
+}
+
+
+/*!
+ * \brief   getMorphBorderPixelColor()
+ *
+ * \param[in]    type L_MORPH_DILATE, L_MORPH_ERODE
+ * \param[in]    depth of pix
+ * \return  color of border pixels for this operation
+ */
+l_uint32
+getMorphBorderPixelColor(l_int32  type,
+                         l_int32  depth)
+{
+    if (type != L_MORPH_DILATE && type != L_MORPH_ERODE)
+        return ERROR_INT("invalid type", __func__, 0);
+    if (depth != 1 && depth != 2 && depth != 4 && depth != 8 &&
+        depth != 16 && depth != 32)
+        return ERROR_INT("invalid depth", __func__, 0);
+
+    if (MORPH_BC == ASYMMETRIC_MORPH_BC || type == L_MORPH_DILATE)
+        return 0;
+
+        /* Symmetric & erosion */
+    if (depth < 32)
+        return ((1 << depth) - 1);
+    else  /* depth == 32 */
+        return 0xffffff00;
+}
+
+
+/*-----------------------------------------------------------------*
+ *               Static helpers for arg processing                 *
+ *-----------------------------------------------------------------*/
+/*!
+ * \brief   processMorphArgs1()
+ *
+ * \param[in]       pixd   [optional]; this can be null, equal to pixs,
+ *                         or different from pixs
+ * \param[in]       pixs   1 bpp
+ * \param[in]       sel
+ * \param[out]      ppixt  copy or clone of %pixs
+ * \return  pixd, or NULL on error.
+ *
+ * <pre>
+ * Notes:
+ *      (1) This is used for generic erosion, dilation and HMT.
+ * </pre>
+ */
+static PIX *
+processMorphArgs1(PIX   *pixd,
+                  PIX   *pixs,
+                  SEL   *sel,
+                  PIX  **ppixt)
+{
+l_int32  sx, sy;
+
+    if (!ppixt)
+        return (PIX *)ERROR_PTR("&pixt not defined", __func__, pixd);
+    *ppixt = NULL;
+    if (!pixs)
+        return (PIX *)ERROR_PTR("pixs not defined", __func__, pixd);
+    if (!sel)
+        return (PIX *)ERROR_PTR("sel not defined", __func__, pixd);
+    if (pixGetDepth(pixs) != 1)
+        return (PIX *)ERROR_PTR("pixs not 1 bpp", __func__, pixd);
+
+    selGetParameters(sel, &sx, &sy, NULL, NULL);
+    if (sx == 0 || sy == 0)
+        return (PIX *)ERROR_PTR("sel of size 0", __func__, pixd);
+
+        /* We require pixd to exist and to be the same size as pixs.
+         * Further, pixt must be a copy (or clone) of pixs.  */
+    if (!pixd) {
+        if ((pixd = pixCreateTemplate(pixs)) == NULL)
+            return (PIX *)ERROR_PTR("pixd not made", __func__, NULL);
+        *ppixt = pixClone(pixs);
+    } else {
+        pixResizeImageData(pixd, pixs);
+        if (pixd == pixs) {  /* in-place; must make a copy of pixs */
+            if ((*ppixt = pixCopy(NULL, pixs)) == NULL)
+                return (PIX *)ERROR_PTR("pixt not made", __func__, pixd);
+        } else {
+            *ppixt = pixClone(pixs);
+        }
+    }
+    return pixd;
+}
+
+
+/*!
+ * \brief   processMorphArgs2()
+ *
+ *  This is used for generic openings and closings.
+ */
+static PIX *
+processMorphArgs2(PIX   *pixd,
+                  PIX   *pixs,
+                  SEL   *sel)
+{
+l_int32  sx, sy;
+
+    if (!pixs)
+        return (PIX *)ERROR_PTR("pixs not defined", __func__, pixd);
+    if (!sel)
+        return (PIX *)ERROR_PTR("sel not defined", __func__, pixd);
+    if (pixGetDepth(pixs) != 1)
+        return (PIX *)ERROR_PTR("pixs not 1 bpp", __func__, pixd);
+
+    selGetParameters(sel, &sx, &sy, NULL, NULL);
+    if (sx == 0 || sy == 0)
+        return (PIX *)ERROR_PTR("sel of size 0", __func__, pixd);
+
+    if (!pixd)
+        return pixCreateTemplate(pixs);
+    pixResizeImageData(pixd, pixs);
+    return pixd;
+}