Mercurial > hgrepos > Python2 > PyMuPDF
annotate mupdf-source/thirdparty/tesseract/src/ccstruct/detlinefit.cpp @ 21:2f43e400f144
Provide an "all" target to build both the sdist and the wheel
| author | Franz Glasner <fzglas.hg@dom66.de> |
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| date | Fri, 19 Sep 2025 10:28:53 +0200 |
| parents | b50eed0cc0ef |
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| rev | line source |
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1 /////////////////////////////////////////////////////////////////////// |
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2 // File: detlinefit.cpp |
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3 // Description: Deterministic least median 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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18 |
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19 #include "detlinefit.h" |
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20 #include "helpers.h" // for IntCastRounded |
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21 #include "statistc.h" |
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22 #include "tesserrstream.h" // for tesserr |
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23 |
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24 #include <algorithm> |
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25 #include <cfloat> // for FLT_MAX |
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26 |
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27 namespace tesseract { |
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28 |
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29 // The number of points to consider at each end. |
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30 const int kNumEndPoints = 3; |
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31 // The minimum number of points at which to switch to number of points |
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32 // for badly fitted lines. |
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33 // To ensure a sensible error metric, kMinPointsForErrorCount should be at |
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34 // least kMaxRealDistance / (1 - %ile) where %ile is the fractile used in |
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35 // ComputeUpperQuartileError. |
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36 const int kMinPointsForErrorCount = 16; |
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37 // The maximum real distance to use before switching to number of |
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38 // mis-fitted points, which will get square-rooted for true distance. |
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39 const int kMaxRealDistance = 2.0; |
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40 |
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41 DetLineFit::DetLineFit() : square_length_(0.0) {} |
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42 |
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43 // Delete all Added points. |
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44 void DetLineFit::Clear() { |
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45 pts_.clear(); |
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46 distances_.clear(); |
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47 } |
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48 |
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49 // Add a new point. Takes a copy - the pt doesn't need to stay in scope. |
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50 void DetLineFit::Add(const ICOORD &pt) { |
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51 pts_.emplace_back(pt, 0); |
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52 } |
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53 // Associates a half-width with the given point if a point overlaps the |
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54 // previous point by more than half the width, and its distance is further |
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55 // than the previous point, then the more distant point is ignored in the |
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56 // distance calculation. Useful for ignoring i dots and other diacritics. |
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57 void DetLineFit::Add(const ICOORD &pt, int halfwidth) { |
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58 pts_.emplace_back(pt, halfwidth); |
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59 } |
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60 |
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61 // Fits a line to the points, ignoring the skip_first initial points and the |
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62 // skip_last final points, returning the fitted line as a pair of points, |
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63 // and the upper quartile error. |
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64 double DetLineFit::Fit(int skip_first, int skip_last, ICOORD *pt1, ICOORD *pt2) { |
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65 // Do something sensible with no points. |
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66 if (pts_.empty()) { |
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67 pt1->set_x(0); |
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68 pt1->set_y(0); |
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69 *pt2 = *pt1; |
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70 return 0.0; |
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71 } |
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72 // Count the points and find the first and last kNumEndPoints. |
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73 int pt_count = pts_.size(); |
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74 ICOORD *starts[kNumEndPoints]; |
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75 if (skip_first >= pt_count) { |
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76 skip_first = pt_count - 1; |
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77 } |
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78 int start_count = 0; |
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79 int end_i = std::min(skip_first + kNumEndPoints, pt_count); |
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80 for (int i = skip_first; i < end_i; ++i) { |
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81 starts[start_count++] = &pts_[i].pt; |
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82 } |
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83 ICOORD *ends[kNumEndPoints]; |
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84 if (skip_last >= pt_count) { |
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85 skip_last = pt_count - 1; |
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86 } |
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87 int end_count = 0; |
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88 end_i = std::max(0, pt_count - kNumEndPoints - skip_last); |
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89 for (int i = pt_count - 1 - skip_last; i >= end_i; --i) { |
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90 ends[end_count++] = &pts_[i].pt; |
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91 } |
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92 // 1 or 2 points need special treatment. |
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93 if (pt_count <= 2) { |
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94 *pt1 = *starts[0]; |
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95 if (pt_count > 1) { |
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96 *pt2 = *ends[0]; |
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97 } else { |
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98 *pt2 = *pt1; |
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99 } |
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100 return 0.0; |
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101 } |
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102 // Although with between 2 and 2*kNumEndPoints-1 points, there will be |
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103 // overlap in the starts, ends sets, this is OK and taken care of by the |
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104 // if (*start != *end) test below, which also tests for equal input points. |
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105 double best_uq = -1.0; |
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106 // Iterate each pair of points and find the best fitting line. |
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107 for (int i = 0; i < start_count; ++i) { |
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108 ICOORD *start = starts[i]; |
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109 for (int j = 0; j < end_count; ++j) { |
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110 ICOORD *end = ends[j]; |
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111 if (*start != *end) { |
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112 ComputeDistances(*start, *end); |
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113 // Compute the upper quartile error from the line. |
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114 double dist = EvaluateLineFit(); |
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115 if (dist < best_uq || best_uq < 0.0) { |
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116 best_uq = dist; |
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117 *pt1 = *start; |
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118 *pt2 = *end; |
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119 } |
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120 } |
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121 } |
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122 } |
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123 // Finally compute the square root to return the true distance. |
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124 return best_uq > 0.0 ? sqrt(best_uq) : best_uq; |
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125 } |
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126 |
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127 // Constrained fit with a supplied direction vector. Finds the best line_pt, |
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128 // that is one of the supplied points having the median cross product with |
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129 // direction, ignoring points that have a cross product outside of the range |
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130 // [min_dist, max_dist]. Returns the resulting error metric using the same |
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131 // reduced set of points. |
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132 // *Makes use of floating point arithmetic* |
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133 double DetLineFit::ConstrainedFit(const FCOORD &direction, double min_dist, double max_dist, |
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134 bool debug, ICOORD *line_pt) { |
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135 ComputeConstrainedDistances(direction, min_dist, max_dist); |
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136 // Do something sensible with no points or computed distances. |
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137 if (pts_.empty() || distances_.empty()) { |
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138 line_pt->set_x(0); |
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139 line_pt->set_y(0); |
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140 return 0.0; |
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141 } |
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142 auto median_index = distances_.size() / 2; |
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143 std::nth_element(distances_.begin(), distances_.begin() + median_index, distances_.end()); |
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144 *line_pt = distances_[median_index].data(); |
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145 if (debug) { |
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146 tesserr << "Constrained fit to dir " << direction.x() << ", " |
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147 << direction.y() << " = " |
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148 << line_pt->x() << ", " << line_pt->y() |
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149 << " :" << distances_.size() << " distances:\n"; |
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150 for (unsigned i = 0; i < distances_.size(); ++i) { |
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151 tesserr << i << ": " |
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152 << distances_[i].data().x() << ", " |
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153 << distances_[i].data().y() << " -> " |
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154 << distances_[i].key() << '\n'; |
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155 } |
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156 tesserr << "Result = " << median_index << '\n'; |
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157 } |
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158 // Center distances on the fitted point. |
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159 double dist_origin = direction * *line_pt; |
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160 for (auto &distance : distances_) { |
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161 distance.key() -= dist_origin; |
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162 } |
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163 return sqrt(EvaluateLineFit()); |
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164 } |
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165 |
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166 // Returns true if there were enough points at the last call to Fit or |
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167 // ConstrainedFit for the fitted points to be used on a badly fitted line. |
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168 bool DetLineFit::SufficientPointsForIndependentFit() const { |
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169 return distances_.size() >= kMinPointsForErrorCount; |
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170 } |
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171 |
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172 // Backwards compatible fit returning a gradient and constant. |
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173 // Deprecated. Prefer Fit(ICOORD*, ICOORD*) where possible, but use this |
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174 // function in preference to the LMS class. |
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175 double DetLineFit::Fit(float *m, float *c) { |
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176 ICOORD start, end; |
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177 double error = Fit(&start, &end); |
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178 if (end.x() != start.x()) { |
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179 *m = static_cast<float>(end.y() - start.y()) / (end.x() - start.x()); |
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180 *c = start.y() - *m * start.x(); |
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181 } else { |
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182 *m = 0.0f; |
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183 *c = 0.0f; |
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184 } |
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185 return error; |
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186 } |
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187 |
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188 // Backwards compatible constrained fit with a supplied gradient. |
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189 // Deprecated. Use ConstrainedFit(const FCOORD& direction) where possible |
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190 // to avoid potential difficulties with infinite gradients. |
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191 double DetLineFit::ConstrainedFit(double m, float *c) { |
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192 // Do something sensible with no points. |
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193 if (pts_.empty()) { |
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194 *c = 0.0f; |
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195 return 0.0; |
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196 } |
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197 double cos = 1.0 / sqrt(1.0 + m * m); |
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198 FCOORD direction(cos, m * cos); |
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199 ICOORD line_pt; |
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200 double error = ConstrainedFit(direction, -FLT_MAX, FLT_MAX, false, &line_pt); |
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201 *c = line_pt.y() - line_pt.x() * m; |
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202 return error; |
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203 } |
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204 |
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205 // Computes and returns the squared evaluation metric for a line fit. |
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206 double DetLineFit::EvaluateLineFit() { |
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207 // Compute the upper quartile error from the line. |
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208 double dist = ComputeUpperQuartileError(); |
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209 if (distances_.size() >= kMinPointsForErrorCount && dist > kMaxRealDistance * kMaxRealDistance) { |
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210 // Use the number of mis-fitted points as the error metric, as this |
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211 // gives a better measure of fit for badly fitted lines where more |
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212 // than a quarter are badly fitted. |
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213 double threshold = kMaxRealDistance * sqrt(square_length_); |
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214 dist = NumberOfMisfittedPoints(threshold); |
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215 } |
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216 return dist; |
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217 } |
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218 |
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219 // Computes the absolute error distances of the points from the line, |
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220 // and returns the squared upper-quartile error distance. |
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221 double DetLineFit::ComputeUpperQuartileError() { |
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222 int num_errors = distances_.size(); |
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223 if (num_errors == 0) { |
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224 return 0.0; |
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225 } |
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226 // Get the absolute values of the errors. |
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227 for (int i = 0; i < num_errors; ++i) { |
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228 if (distances_[i].key() < 0) { |
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229 distances_[i].key() = -distances_[i].key(); |
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230 } |
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231 } |
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232 // Now get the upper quartile distance. |
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233 auto index = 3 * num_errors / 4; |
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234 std::nth_element(distances_.begin(), distances_.begin() + index, distances_.end()); |
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235 double dist = distances_[index].key(); |
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236 // The true distance is the square root of the dist squared / square_length. |
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237 // Don't bother with the square root. Just return the square distance. |
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238 return square_length_ > 0.0 ? dist * dist / square_length_ : 0.0; |
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239 } |
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240 |
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241 // Returns the number of sample points that have an error more than threshold. |
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242 int DetLineFit::NumberOfMisfittedPoints(double threshold) const { |
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243 int num_misfits = 0; |
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244 int num_dists = distances_.size(); |
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245 // Get the absolute values of the errors. |
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246 for (int i = 0; i < num_dists; ++i) { |
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247 if (distances_[i].key() > threshold) { |
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248 ++num_misfits; |
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249 } |
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250 } |
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251 return num_misfits; |
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252 } |
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253 |
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254 // Computes all the cross product distances of the points from the line, |
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255 // storing the actual (signed) cross products in distances. |
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256 // Ignores distances of points that are further away than the previous point, |
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257 // and overlaps the previous point by at least half. |
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258 void DetLineFit::ComputeDistances(const ICOORD &start, const ICOORD &end) { |
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259 distances_.clear(); |
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260 ICOORD line_vector = end; |
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261 line_vector -= start; |
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262 square_length_ = line_vector.sqlength(); |
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263 int line_length = IntCastRounded(sqrt(square_length_)); |
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264 // Compute the distance of each point from the line. |
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265 int prev_abs_dist = 0; |
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266 int prev_dot = 0; |
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267 for (unsigned i = 0; i < pts_.size(); ++i) { |
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268 ICOORD pt_vector = pts_[i].pt; |
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269 pt_vector -= start; |
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270 int dot = line_vector % pt_vector; |
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271 // Compute |line_vector||pt_vector|sin(angle between) |
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272 int dist = line_vector * pt_vector; |
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273 int abs_dist = dist < 0 ? -dist : dist; |
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274 if (abs_dist > prev_abs_dist && i > 0) { |
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275 // Ignore this point if it overlaps the previous one. |
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276 int separation = abs(dot - prev_dot); |
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277 if (separation < line_length * pts_[i].halfwidth || |
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278 separation < line_length * pts_[i - 1].halfwidth) { |
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279 continue; |
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280 } |
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281 } |
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282 distances_.emplace_back(dist, pts_[i].pt); |
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283 prev_abs_dist = abs_dist; |
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284 prev_dot = dot; |
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285 } |
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286 } |
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287 |
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288 // Computes all the cross product distances of the points perpendicular to |
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289 // the given direction, ignoring distances outside of the give distance range, |
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290 // storing the actual (signed) cross products in distances_. |
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291 void DetLineFit::ComputeConstrainedDistances(const FCOORD &direction, double min_dist, |
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292 double max_dist) { |
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293 distances_.clear(); |
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294 square_length_ = direction.sqlength(); |
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295 // Compute the distance of each point from the line. |
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296 for (auto &pt : pts_) { |
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297 FCOORD pt_vector = pt.pt; |
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298 // Compute |line_vector||pt_vector|sin(angle between) |
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299 double dist = direction * pt_vector; |
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300 if (min_dist <= dist && dist <= max_dist) { |
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301 distances_.emplace_back(dist, pt.pt); |
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302 } |
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303 } |
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304 } |
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305 |
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306 } // namespace tesseract. |
