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annotate mupdf-source/thirdparty/tesseract/src/ccstruct/detlinefit.h @ 17:dd9cdb856310

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Remove PKG-INFO from the because it is regenerated automatically for the sdist
author Franz Glasner <fzglas.hg@dom66.de>
date Thu, 18 Sep 2025 17:40:40 +0200
parents b50eed0cc0ef
children
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rev   line source
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1 ///////////////////////////////////////////////////////////////////////
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2 // File: detlinefit.h
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3 // Description: Deterministic least upper-quartile squares line fitting.
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4 // Author: Ray Smith
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5 //
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6 // (C) Copyright 2008, Google Inc.
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7 // Licensed under the Apache License, Version 2.0 (the "License");
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8 // you may not use this file except in compliance with the License.
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9 // You may obtain a copy of the License at
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10 // http://www.apache.org/licenses/LICENSE-2.0
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11 // Unless required by applicable law or agreed to in writing, software
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12 // distributed under the License is distributed on an "AS IS" BASIS,
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13 // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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14 // See the License for the specific language governing permissions and
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15 // limitations under the License.
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16 //
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17 ///////////////////////////////////////////////////////////////////////
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19 #ifndef TESSERACT_CCSTRUCT_DETLINEFIT_H_
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20 #define TESSERACT_CCSTRUCT_DETLINEFIT_H_
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21
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22 #include "kdpair.h"
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23 #include "points.h"
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25 namespace tesseract {
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27 // This class fits a line to a set of ICOORD points.
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28 // There is no restriction on the direction of the line, as it
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29 // uses a vector method, ie no concern over infinite gradients.
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30 // The fitted line has the least upper quartile of squares of perpendicular
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31 // distances of all source points from the line, subject to the constraint
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32 // that the line is made from one of the pairs of [{p1,p2,p3},{pn-2, pn-1, pn}]
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33 // i.e. the 9 combinations of one of the first 3 and last 3 points.
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34 // A fundamental assumption of this algorithm is that one of the first 3 and
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35 // one of the last 3 points are near the best line fit.
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36 // The points must be Added in line order for the algorithm to work properly.
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37 // No floating point calculations are needed* to make an accurate fit,
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38 // and no random numbers are needed** so the algorithm is deterministic,
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39 // architecture-stable, and compiler-stable as well as stable to minor
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40 // changes in the input.
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41 // *A single floating point division is used to compute each line's distance.
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42 // This is unlikely to result in choice of a different line, but if it does,
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43 // it would be easy to replace with a 64 bit integer calculation.
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44 // **Random numbers are used in the nth_item function, but the worst
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45 // non-determinism that can result is picking a different result among equals,
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46 // and that wouldn't make any difference to the end-result distance, so the
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47 // randomness does not affect the determinism of the algorithm. The random
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48 // numbers are only there to guarantee average linear time.
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49 // Fitting time is linear, but with a high constant, as it tries 9 different
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50 // lines and computes the distance of all points each time.
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51 // This class is aimed at replacing the LLSQ (linear least squares) and
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52 // LMS (least median of squares) classes that are currently used for most
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53 // of the line fitting in Tesseract.
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54 class DetLineFit {
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55 public:
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56 DetLineFit();
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57 ~DetLineFit() = default;
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58
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59 // Delete all Added points.
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60 void Clear();
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61
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62 // Adds a new point. Takes a copy - the pt doesn't need to stay in scope.
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63 // Add must be called on points in sequence along the line.
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64 void Add(const ICOORD &pt);
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65 // Associates a half-width with the given point if a point overlaps the
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66 // previous point by more than half the width, and its distance is further
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67 // than the previous point, then the more distant point is ignored in the
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68 // distance calculation. Useful for ignoring i dots and other diacritics.
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69 void Add(const ICOORD &pt, int halfwidth);
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70
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71 // Fits a line to the points, returning the fitted line as a pair of
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72 // points, and the upper quartile error.
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73 double Fit(ICOORD *pt1, ICOORD *pt2) {
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74 return Fit(0, 0, pt1, pt2);
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75 }
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76 // Fits a line to the points, ignoring the skip_first initial points and the
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77 // skip_last final points, returning the fitted line as a pair of points,
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78 // and the upper quartile error.
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79 double Fit(int skip_first, int skip_last, ICOORD *pt1, ICOORD *pt2);
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80
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81 // Constrained fit with a supplied direction vector. Finds the best line_pt,
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82 // that is one of the supplied points having the median cross product with
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83 // direction, ignoring points that have a cross product outside of the range
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84 // [min_dist, max_dist]. Returns the resulting error metric using the same
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85 // reduced set of points.
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86 // *Makes use of floating point arithmetic*
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87 double ConstrainedFit(const FCOORD &direction, double min_dist, double max_dist, bool debug,
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88 ICOORD *line_pt);
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89
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90 // Returns true if there were enough points at the last call to Fit or
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91 // ConstrainedFit for the fitted points to be used on a badly fitted line.
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92 bool SufficientPointsForIndependentFit() const;
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93
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94 // Backwards compatible fit returning a gradient and constant.
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95 // Deprecated. Prefer Fit(ICOORD*, ICOORD*) where possible, but use this
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96 // function in preference to the LMS class.
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97 double Fit(float *m, float *c);
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98
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99 // Backwards compatible constrained fit with a supplied gradient.
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100 // Deprecated. Use ConstrainedFit(const FCOORD& direction) where possible
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101 // to avoid potential difficulties with infinite gradients.
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102 double ConstrainedFit(double m, float *c);
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103
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104 private:
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105 // Simple struct to hold an ICOORD point and a halfwidth representing half
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106 // the "width" (supposedly approximately parallel to the direction of the
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107 // line) of each point, such that distant points can be discarded when they
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108 // overlap nearer points. (Think i dot and other diacritics or noise.)
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109 struct PointWidth {
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110 PointWidth() : pt(ICOORD(0, 0)), halfwidth(0) {}
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111 PointWidth(const ICOORD &pt0, int halfwidth0) : pt(pt0), halfwidth(halfwidth0) {}
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112
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113 ICOORD pt;
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114 int halfwidth;
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115 };
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116 // Type holds the distance of each point from the fitted line and the point
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117 // itself. Use of double allows integer distances from ICOORDs to be stored
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118 // exactly, and also the floating point results from ConstrainedFit.
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119 using DistPointPair = KDPairInc<double, ICOORD>;
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120
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121 // Computes and returns the squared evaluation metric for a line fit.
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122 double EvaluateLineFit();
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123
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124 // Computes the absolute values of the precomputed distances_,
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125 // and returns the squared upper-quartile error distance.
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126 double ComputeUpperQuartileError();
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127
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128 // Returns the number of sample points that have an error more than threshold.
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129 int NumberOfMisfittedPoints(double threshold) const;
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130
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131 // Computes all the cross product distances of the points from the line,
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132 // storing the actual (signed) cross products in distances_.
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133 // Ignores distances of points that are further away than the previous point,
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134 // and overlaps the previous point by at least half.
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135 void ComputeDistances(const ICOORD &start, const ICOORD &end);
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136
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137 // Computes all the cross product distances of the points perpendicular to
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138 // the given direction, ignoring distances outside of the give distance range,
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139 // storing the actual (signed) cross products in distances_.
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140 void ComputeConstrainedDistances(const FCOORD &direction, double min_dist, double max_dist);
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141
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142 // Stores all the source points in the order they were given and their
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143 // halfwidths, if any.
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144 std::vector<PointWidth> pts_;
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145 // Stores the computed perpendicular distances of (some of) the pts_ from a
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146 // given vector (assuming it goes through the origin, making it a line).
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147 // Since the distances may be a subset of the input points, and get
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148 // re-ordered by the nth_item function, the original point is stored
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149 // along side the distance.
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150 std::vector<DistPointPair> distances_; // Distances of points.
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151 // The squared length of the vector used to compute distances_.
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152 double square_length_;
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153 };
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154
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155 } // namespace tesseract.
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156
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157 #endif // TESSERACT_CCSTRUCT_DETLINEFIT_H_