--- /dev/null
+// This file is part of OpenCV project.
+// It is subject to the license terms in the LICENSE file found in the top-level directory
+// of this distribution and at http://opencv.org/license.html.
+//
+// Copyright (C) 2018, Intel Corporation, all rights reserved.
+// Third party copyrights are property of their respective owners.
+
+#include "precomp.hpp"
+#include "opencv2/objdetect.hpp"
+// #include "opencv2/calib3d.hpp"
+
+#include <limits>
+#include <cmath>
+#include <iostream>
+
+namespace cv
+{
+class QRDecode
+{
+ public:
+ void init(Mat src, double eps_vertical_ = 0.19, double eps_horizontal_ = 0.09);
+ void binarization();
+ bool localization();
+ bool transformation();
+ Mat getBinBarcode() { return bin_barcode; }
+ Mat getLocalizationBarcode() { return local_barcode; }
+ Mat getTransformationBarcode() { return transform_barcode; }
+ std::vector<Point> getTransformationPoints() { return transformation_points; }
+ Mat getStraightBarcode() { return straight_barcode; }
+ protected:
+ std::vector<Vec3d> searchVerticalLines();
+ std::vector<Vec3d> separateHorizontalLines(std::vector<Vec3d> list_lines);
+ std::vector<Vec3d> pointClustering(std::vector<Vec3d> list_lines);
+ void fixationPoints(std::vector<Point> &local_point, std::vector<double> &local_len);
+ Point getTransformationPoint(Point left, Point center, double cos_angle_rotation,
+ bool right_rotate = true);
+ Point intersectionLines(Point a1, Point a2, Point b1, Point b2);
+ std::vector<Point> getQuadrilateral(std::vector<Point> angle_list);
+ double getQuadrilateralArea(Point a, Point b, Point c, Point d);
+ double getCosVectors(Point a, Point b, Point c);
+
+ Mat barcode, bin_barcode, local_barcode, transform_barcode, straight_barcode;
+ std::vector<Point> localization_points, transformation_points;
+ std::vector<double> localization_length;
+ double experimental_area;
+
+ double eps_vertical, eps_horizontal;
+ std::vector<Vec3d> result;
+ std::vector<double> test_lines;
+ uint8_t next_pixel, future_pixel;
+ double length, weight;
+};
+
+void QRDecode::init(Mat src, double eps_vertical_, double eps_horizontal_)
+{
+ barcode = src;
+ eps_vertical = eps_vertical_;
+ eps_horizontal = eps_horizontal_;
+}
+
+void QRDecode::binarization()
+{
+ Mat filter_barcode;
+ GaussianBlur(barcode, filter_barcode, Size(3, 3), 0);
+ threshold(filter_barcode, bin_barcode, 0, 255, THRESH_BINARY + THRESH_OTSU);
+}
+
+bool QRDecode::localization()
+{
+ cvtColor(bin_barcode, local_barcode, COLOR_GRAY2RGB);
+ Point begin, end;
+
+ std::vector<Vec3d> list_lines_x = searchVerticalLines();
+ std::vector<Vec3d> list_lines_y = separateHorizontalLines(list_lines_x);
+ std::vector<Vec3d> result_point = pointClustering(list_lines_y);
+ for (int i = 0; i < 3; i++)
+ {
+ localization_points.push_back(
+ Point(static_cast<int>(result_point[i][0]),
+ static_cast<int>(result_point[i][1] + result_point[i][2])));
+ localization_length.push_back(result_point[i][2]);
+ }
+
+ fixationPoints(localization_points, localization_length);
+
+
+ if (localization_points.size() != 3) { return false; }
+ return true;
+
+}
+
+std::vector<Vec3d> QRDecode::searchVerticalLines()
+{
+ result.clear();
+ int temp_length = 0;
+
+ for (int x = 0; x < bin_barcode.rows; x++)
+ {
+ for (int y = 0; y < bin_barcode.cols; y++)
+ {
+ if (bin_barcode.at<uint8_t>(x, y) > 0) { continue; }
+
+ // --------------- Search vertical lines --------------- //
+
+ test_lines.clear();
+ future_pixel = 255;
+
+ for (int i = x; i < bin_barcode.rows - 1; i++)
+ {
+ next_pixel = bin_barcode.at<uint8_t>(i + 1, y);
+ temp_length++;
+ if (next_pixel == future_pixel)
+ {
+ future_pixel = 255 - future_pixel;
+ test_lines.push_back(temp_length);
+ temp_length = 0;
+ if (test_lines.size() == 5) { break; }
+ }
+ }
+
+ // --------------- Compute vertical lines --------------- //
+
+ if (test_lines.size() == 5)
+ {
+ length = 0.0; weight = 0.0;
+
+ for (size_t i = 0; i < test_lines.size(); i++) { length += test_lines[i]; }
+
+ for (size_t i = 0; i < test_lines.size(); i++)
+ {
+ if (i == 2) { weight += abs((test_lines[i] / length) - 3.0/7.0); }
+ else { weight += abs((test_lines[i] / length) - 1.0/7.0); }
+ }
+
+ if (weight < eps_vertical)
+ {
+ Vec3d line;
+ line[0] = x; line[1] = y, line[2] = length;
+ result.push_back(line);
+ }
+ }
+ }
+ }
+ return result;
+}
+
+std::vector<Vec3d> QRDecode::separateHorizontalLines(std::vector<Vec3d> list_lines)
+{
+ result.clear();
+ int temp_length = 0;
+ int x, y;
+
+ for (size_t pnt = 0; pnt < list_lines.size(); pnt++)
+ {
+ x = static_cast<int>(list_lines[pnt][0] + list_lines[pnt][2] / 2);
+ y = static_cast<int>(list_lines[pnt][1]);
+
+ // --------------- Search horizontal up-lines --------------- //
+ test_lines.clear();
+ future_pixel = 255;
+
+ for (int j = y; j < bin_barcode.cols - 1; j++)
+ {
+ next_pixel = bin_barcode.at<uint8_t>(x, j + 1);
+ temp_length++;
+ if (next_pixel == future_pixel)
+ {
+ future_pixel = 255 - future_pixel;
+ test_lines.push_back(temp_length);
+ temp_length = 0;
+ if (test_lines.size() == 3) { break; }
+ }
+ }
+
+ // --------------- Search horizontal down-lines --------------- //
+ future_pixel = 255;
+
+ for (int j = y; j >= 1; j--)
+ {
+ next_pixel = bin_barcode.at<uint8_t>(x, j - 1);
+ temp_length++;
+ if (next_pixel == future_pixel)
+ {
+ future_pixel = 255 - future_pixel;
+ test_lines.push_back(temp_length);
+ temp_length = 0;
+ if (test_lines.size() == 6) { break; }
+ }
+ }
+
+ // --------------- Compute horizontal lines --------------- //
+
+ if (test_lines.size() == 6)
+ {
+ length = 0.0; weight = 0.0;
+
+ for (size_t i = 0; i < test_lines.size(); i++) { length += test_lines[i]; }
+
+ for (size_t i = 0; i < test_lines.size(); i++)
+ {
+ if (i % 3 == 0) { weight += abs((test_lines[i] / length) - 3.0/14.0); }
+ else { weight += abs((test_lines[i] / length) - 1.0/ 7.0); }
+ }
+ }
+
+ if(weight < eps_horizontal)
+ {
+ result.push_back(list_lines[pnt]);
+ }
+ }
+ return result;
+}
+
+std::vector<Vec3d> QRDecode::pointClustering(std::vector<Vec3d> list_lines)
+{
+ std::vector<Vec3d> centers;
+ std::vector<Point> clusters[3];
+ double weight_clusters[3] = {0.0, 0.0, 0.0};
+ Point basis[3], temp_pnt;
+ double temp_norm = 0.0, temp_compute_norm, distance[3];
+
+ basis[0] = Point(static_cast<int>(list_lines[0][1]), static_cast<int>(list_lines[0][0]));
+ for (size_t i = 1; i < list_lines.size(); i++)
+ {
+ temp_pnt = Point(static_cast<int>(list_lines[i][1]), static_cast<int>(list_lines[i][0]));
+ temp_compute_norm = norm(basis[0] - temp_pnt);
+ if (temp_norm < temp_compute_norm)
+ {
+ basis[1] = temp_pnt;
+ temp_norm = temp_compute_norm;
+ }
+ }
+
+ for (size_t i = 1; i < list_lines.size(); i++)
+ {
+ temp_pnt = Point(static_cast<int>(list_lines[i][1]), static_cast<int>(list_lines[i][0]));
+ temp_compute_norm = norm(basis[0] - temp_pnt) + norm(basis[1] - temp_pnt);
+ if (temp_norm < temp_compute_norm)
+ {
+ basis[2] = temp_pnt;
+ temp_norm = temp_compute_norm;
+ }
+ }
+
+ for (size_t i = 0; i < list_lines.size(); i++)
+ {
+ temp_pnt = Point(static_cast<int>(list_lines[i][1]), static_cast<int>(list_lines[i][0]));
+ distance[0] = norm(basis[0] - temp_pnt);
+ distance[1] = norm(basis[1] - temp_pnt);
+ distance[2] = norm(basis[2] - temp_pnt);
+ if (distance[0] < distance[1] && distance[0] < distance[2])
+ {
+ clusters[0].push_back(temp_pnt);
+ weight_clusters[0] += list_lines[i][2];
+ }
+ else if (distance[1] < distance[0] && distance[1] < distance[2])
+ {
+ clusters[1].push_back(temp_pnt);
+ weight_clusters[1] += list_lines[i][2];
+ }
+ else
+ {
+ clusters[2].push_back(temp_pnt);
+ weight_clusters[2] += list_lines[i][2];
+ }
+ }
+
+ for (int i = 0; i < 3; i++)
+ {
+ basis[i] = Point(0, 0);
+ for (size_t j = 0; j < clusters[i].size(); j++) { basis[i] += clusters[i][j]; }
+ basis[i] = basis[i] / static_cast<int>(clusters[i].size());
+ weight = weight_clusters[i] / (2 * clusters[i].size());
+ centers.push_back(Vec3d(basis[i].x, basis[i].y, weight));
+ }
+
+ return centers;
+}
+
+void QRDecode::fixationPoints(std::vector<Point> &local_point, std::vector<double> &local_len)
+{
+ double cos_angles[3], norm_triangl[3];
+
+ norm_triangl[0] = norm(local_point[1] - local_point[2]);
+ norm_triangl[1] = norm(local_point[0] - local_point[2]);
+ norm_triangl[2] = norm(local_point[1] - local_point[0]);
+
+ cos_angles[0] = (pow(norm_triangl[1], 2) + pow(norm_triangl[2], 2) - pow(norm_triangl[0], 2))
+ / (2 * norm_triangl[1] * norm_triangl[2]);
+ cos_angles[1] = (pow(norm_triangl[0], 2) + pow(norm_triangl[2], 2) - pow(norm_triangl[1], 2))
+ / (2 * norm_triangl[0] * norm_triangl[2]);
+ cos_angles[2] = (pow(norm_triangl[0], 2) + pow(norm_triangl[1], 2) - pow(norm_triangl[2], 2))
+ / (2 * norm_triangl[0] * norm_triangl[1]);
+
+ int i_min_cos =
+ (cos_angles[0] < cos_angles[1] && cos_angles[0] < cos_angles[2]) ? 0 :
+ (cos_angles[1] < cos_angles[0] && cos_angles[1] < cos_angles[2]) ? 1 : 2;
+
+ Point temp_pnt;
+ double tmp_len;
+ temp_pnt = local_point[0];
+ tmp_len = local_len[0];
+ local_point[0] = local_point[i_min_cos];
+ local_len[0] = local_len[i_min_cos];
+ local_point[i_min_cos] = temp_pnt;
+ local_len[i_min_cos] = tmp_len;
+
+ Mat vector_mult(Size(3, 3), CV_32FC1);
+ vector_mult.at<float>(0, 0) = 1;
+ vector_mult.at<float>(1, 0) = 1;
+ vector_mult.at<float>(2, 0) = 1;
+ vector_mult.at<float>(0, 1) = static_cast<float>((local_point[1] - local_point[0]).x);
+ vector_mult.at<float>(1, 1) = static_cast<float>((local_point[1] - local_point[0]).y);
+ vector_mult.at<float>(0, 2) = static_cast<float>((local_point[2] - local_point[0]).x);
+ vector_mult.at<float>(1, 2) = static_cast<float>((local_point[2] - local_point[0]).y);
+ double res_vect_mult = determinant(vector_mult);
+ if (res_vect_mult < 0)
+ {
+ temp_pnt = local_point[1];
+ tmp_len = local_len[1];
+ local_point[1] = local_point[2];
+ local_len[1] = local_len[2];
+ local_point[2] = temp_pnt;
+ local_len[2] = tmp_len;
+ }
+}
+
+bool QRDecode::transformation()
+{
+ cvtColor(bin_barcode, transform_barcode, COLOR_GRAY2RGB);
+ if (localization_points.size() != 3) { return false; }
+
+ Point red = localization_points[0];
+ Point green = localization_points[1];
+ Point blue = localization_points[2];
+ Point adj_b_r_pnt, adj_r_b_pnt, adj_g_r_pnt, adj_r_g_pnt;
+ Point line_r_b_pnt, line_r_g_pnt, norm_r_b_pnt, norm_r_g_pnt;
+ adj_b_r_pnt = getTransformationPoint(blue, red, -1);
+ adj_r_b_pnt = getTransformationPoint(red, blue, -1);
+ adj_g_r_pnt = getTransformationPoint(green, red, -1);
+ adj_r_g_pnt = getTransformationPoint(red, green, -1);
+ line_r_b_pnt = getTransformationPoint(red, blue, -0.91);
+ line_r_g_pnt = getTransformationPoint(red, green, -0.91);
+ norm_r_b_pnt = getTransformationPoint(red, blue, 0.0, true);
+ norm_r_g_pnt = getTransformationPoint(red, green, 0.0, false);
+
+ transformation_points.push_back(intersectionLines(
+ adj_r_g_pnt, line_r_g_pnt, adj_r_b_pnt, line_r_b_pnt));
+ transformation_points.push_back(intersectionLines(
+ adj_b_r_pnt, norm_r_g_pnt, adj_r_g_pnt, line_r_g_pnt));
+ transformation_points.push_back(intersectionLines(
+ norm_r_b_pnt, adj_g_r_pnt, adj_b_r_pnt, norm_r_g_pnt));
+ transformation_points.push_back(intersectionLines(
+ norm_r_b_pnt, adj_g_r_pnt, adj_r_b_pnt, line_r_b_pnt));
+
+ experimental_area = getQuadrilateralArea(transformation_points[0],
+ transformation_points[1],
+ transformation_points[2],
+ transformation_points[3]);
+ std::vector<Point> quadrilateral = getQuadrilateral(transformation_points);
+ transformation_points = quadrilateral;
+
+ int max_length_norm = -1;
+ size_t transform_size = transformation_points.size();
+ for (size_t i = 0; i < transform_size; i++)
+ {
+ int len_norm = static_cast<int>(norm(transformation_points[i % transform_size] -
+ transformation_points[(i + 1) % transform_size]));
+ if (max_length_norm < len_norm) { max_length_norm = len_norm; }
+ }
+
+ std::vector<Point> perspective_points;
+ perspective_points.push_back(Point(0, 0));
+ perspective_points.push_back(Point(0, max_length_norm));
+ perspective_points.push_back(Point(max_length_norm, max_length_norm));
+ perspective_points.push_back(Point(max_length_norm, 0));
+
+ // warpPerspective(bin_barcode, straight_barcode,
+ // findHomography(transformation_points, perspective_points),
+ // Size(max_length_norm, max_length_norm));
+ return true;
+}
+
+Point QRDecode::getTransformationPoint(Point left, Point center, double cos_angle_rotation,
+ bool right_rotate)
+{
+ Point temp_pnt, prev_pnt(0, 0), next_pnt, start_pnt(center);
+ double temp_delta, min_delta;
+ int steps = 0;
+
+ future_pixel = 255;
+ while(true)
+ {
+ min_delta = std::numeric_limits<double>::max();
+ for (int i = -1; i < 2; i++)
+ {
+ for (int j = -1; j < 2; j++)
+ {
+ if (i == 0 && j == 0) { continue; }
+ temp_pnt = Point(start_pnt.x + i, start_pnt.y + j);
+ temp_delta = abs(getCosVectors(left, center, temp_pnt) - cos_angle_rotation);
+ if (temp_delta < min_delta && prev_pnt != temp_pnt)
+ {
+ next_pnt = temp_pnt;
+ min_delta = temp_delta;
+ }
+ }
+ }
+ prev_pnt = start_pnt;
+ start_pnt = next_pnt;
+ next_pixel = bin_barcode.at<uint8_t>(start_pnt.y, start_pnt.x);
+ if (next_pixel == future_pixel)
+ {
+ future_pixel = 255 - future_pixel;
+ steps++;
+ if (steps == 3) { break; }
+ }
+ }
+
+ if (cos_angle_rotation == 0.0)
+ {
+ Mat vector_mult(Size(3, 3), CV_32FC1);
+ vector_mult.at<float>(0, 0) = 1;
+ vector_mult.at<float>(1, 0) = 1;
+ vector_mult.at<float>(2, 0) = 1;
+ vector_mult.at<float>(0, 1) = static_cast<float>((left - center).x);
+ vector_mult.at<float>(1, 1) = static_cast<float>((left - center).y);
+ vector_mult.at<float>(0, 2) = static_cast<float>((left - start_pnt).x);
+ vector_mult.at<float>(1, 2) = static_cast<float>((left - start_pnt).y);
+ double res_vect_mult = determinant(vector_mult);
+ if (( right_rotate && res_vect_mult < 0) ||
+ (!right_rotate && res_vect_mult > 0))
+ {
+ start_pnt = getTransformationPoint(start_pnt, center, -1);
+ }
+ }
+
+ return start_pnt;
+}
+
+Point QRDecode::intersectionLines(Point a1, Point a2, Point b1, Point b2)
+{
+ Point result_square_angle(
+ static_cast<int>(
+ static_cast<double>
+ ((a1.x * a2.y - a1.y * a2.x) * (b1.x - b2.x) -
+ (b1.x * b2.y - b1.y * b2.x) * (a1.x - a2.x)) /
+ ((a1.x - a2.x) * (b1.y - b2.y) -
+ (a1.y - a2.y) * (b1.x - b2.x))),
+ static_cast<int>(
+ static_cast<double>
+ ((a1.x * a2.y - a1.y * a2.x) * (b1.y - b2.y) -
+ (b1.x * b2.y - b1.y * b2.x) * (a1.y - a2.y)) /
+ ((a1.x - a2.x) * (b1.y - b2.y) -
+ (a1.y - a2.y) * (b1.x - b2.x)))
+ );
+ return result_square_angle;
+}
+
+std::vector<Point> QRDecode::getQuadrilateral(std::vector<Point> angle_list)
+{
+ size_t angle_size = angle_list.size();
+ uint8_t value, mask_value;
+ Mat mask(bin_barcode.rows + 2, bin_barcode.cols + 2, CV_8UC1);
+ for (size_t i = 0; i < angle_size; i++)
+ {
+ LineIterator line_iter(bin_barcode, angle_list[ i % angle_size],
+ angle_list[(i + 1) % angle_size]);
+ for(int j = 0; j < line_iter.count; j++, ++line_iter)
+ {
+ value = bin_barcode.at<uint8_t>(line_iter.pos());
+ mask_value = mask.at<uint8_t>(line_iter.pos() + Point(1, 1));
+ if (value == 0 && mask_value == 0)
+ {
+ floodFill(bin_barcode, mask, line_iter.pos(), 255);
+ }
+ }
+ }
+ std::vector<Point> locations;
+ Mat mask_roi = mask(Range(1, bin_barcode.rows - 1),
+ Range(1, bin_barcode.cols - 1));
+
+ cv::findNonZero(mask_roi, locations);
+
+ for (size_t i = 0; i < angle_list.size(); i++)
+ {
+ locations.push_back(angle_list[i]);
+ }
+
+ std::vector< std::vector<Point> > hull(1), approx_hull(1);
+ convexHull(Mat(locations), hull[0]);
+ int hull_size = static_cast<int>(hull[0].size());
+
+ Point min_pnt;
+
+ std::vector<Point> min_abc;
+ double min_abs_cos_abc, abs_cos_abc;
+ for (int count = 0; count < 4; count++)
+ {
+ min_abs_cos_abc = std::numeric_limits<double>::max();
+ for (int i = 0; i < hull_size; i++)
+ {
+ Point a = hull[0][ i % hull_size];
+ Point b = hull[0][(i + 1) % hull_size];
+ Point c = hull[0][(i + 2) % hull_size];
+ abs_cos_abc = abs(getCosVectors(a, b, c));
+
+ bool flag_detect = true;
+ for (size_t j = 0; j < min_abc.size(); j++)
+ {
+ if (min_abc[j] == b) { flag_detect = false; break; }
+ }
+
+ if (flag_detect && (abs_cos_abc < min_abs_cos_abc))
+ {
+ min_pnt = b;
+ min_abs_cos_abc = abs_cos_abc;
+ }
+ }
+ min_abc.push_back(min_pnt);
+ }
+
+
+ int min_abc_size = static_cast<int>(min_abc.size());
+ std::vector<int> index_min_abc(min_abc_size);
+ for (int i = 0; i < min_abc_size; i++)
+ {
+ for (int j = 0; j < hull_size; j++)
+ {
+ if (hull[0][j] == min_abc[i]) { index_min_abc[i] = j; break; }
+ }
+ }
+
+ std::vector<Point> result_hull_point(angle_size);
+ double min_norm, temp_norm;
+ for (size_t i = 0; i < angle_size; i++)
+ {
+ min_norm = std::numeric_limits<double>::max();
+ Point closest_pnt;
+ for (int j = 0; j < min_abc_size; j++)
+ {
+ if (min_norm > norm(hull[0][index_min_abc[j]] - angle_list[i]))
+ {
+ min_norm = norm(hull[0][index_min_abc[j]] - angle_list[i]);
+ closest_pnt = hull[0][index_min_abc[j]];
+ }
+ }
+ result_hull_point[i] = closest_pnt;
+ }
+
+ int start_line[2] = {0, 0}, finish_line[2] = {0, 0}, unstable_pnt = 0;
+ for (int i = 0; i < hull_size; i++)
+ {
+ if (result_hull_point[3] == hull[0][i]) { start_line[0] = i; }
+ if (result_hull_point[2] == hull[0][i]) { finish_line[0] = start_line[1] = i; }
+ if (result_hull_point[1] == hull[0][i]) { finish_line[1] = i; }
+ if (result_hull_point[0] == hull[0][i]) { unstable_pnt = i; }
+ }
+
+ int index_hull, extra_index_hull, next_index_hull, extra_next_index_hull, count_points;
+ Point result_side_begin[4], result_side_end[4];
+
+ min_norm = std::numeric_limits<double>::max();
+ index_hull = start_line[0];
+ count_points = abs(start_line[0] - finish_line[0]);
+ do
+ {
+ if (count_points > hull_size / 2) { next_index_hull = index_hull + 1; }
+ else { next_index_hull = index_hull - 1; }
+
+ if (next_index_hull == hull_size) { next_index_hull = 0; }
+ if (next_index_hull == -1) { next_index_hull = hull_size - 1; }
+
+ Point angle_closest_pnt = norm(hull[0][index_hull] - angle_list[2]) >
+ norm(hull[0][index_hull] - angle_list[3]) ? angle_list[3] : angle_list[2];
+
+ Point intrsc_line_hull =
+ intersectionLines(hull[0][index_hull], hull[0][next_index_hull],
+ angle_list[2], angle_list[3]);
+ temp_norm = getCosVectors(hull[0][index_hull], intrsc_line_hull, angle_closest_pnt);
+ if (min_norm > temp_norm &&
+ norm(hull[0][index_hull] - hull[0][next_index_hull]) >
+ norm(angle_list[2] - angle_list[3]) / 10)
+ {
+ min_norm = temp_norm;
+ result_side_begin[0] = hull[0][index_hull];
+ result_side_end[0] = hull[0][next_index_hull];
+ }
+
+
+ index_hull = next_index_hull;
+ }
+ while(index_hull != finish_line[0]);
+
+ if (min_norm == std::numeric_limits<double>::max())
+ {
+ result_side_begin[0] = angle_list[2];
+ result_side_end[0] = angle_list[3];
+ }
+
+ min_norm = std::numeric_limits<double>::max();
+ index_hull = start_line[1];
+ count_points = abs(start_line[1] - finish_line[1]);
+ do
+ {
+ if (count_points > hull_size / 2) { next_index_hull = index_hull + 1; }
+ else { next_index_hull = index_hull - 1; }
+
+ if (next_index_hull == hull_size) { next_index_hull = 0; }
+ if (next_index_hull == -1) { next_index_hull = hull_size - 1; }
+
+ Point angle_closest_pnt = norm(hull[0][index_hull] - angle_list[1]) >
+ norm(hull[0][index_hull] - angle_list[2]) ? angle_list[2] : angle_list[1];
+
+ Point intrsc_line_hull =
+ intersectionLines(hull[0][index_hull], hull[0][next_index_hull],
+ angle_list[1], angle_list[2]);
+ temp_norm = getCosVectors(hull[0][index_hull], intrsc_line_hull, angle_closest_pnt);
+ if (min_norm > temp_norm &&
+ norm(hull[0][index_hull] - hull[0][next_index_hull]) >
+ norm(angle_list[1] - angle_list[2]) / 20)
+ {
+ min_norm = temp_norm;
+ result_side_begin[1] = hull[0][index_hull];
+ result_side_end[1] = hull[0][next_index_hull];
+ }
+
+
+ index_hull = next_index_hull;
+ }
+ while(index_hull != finish_line[1]);
+
+ if (min_norm == std::numeric_limits<double>::max())
+ {
+ result_side_begin[1] = angle_list[1];
+ result_side_end[1] = angle_list[2];
+ }
+
+ double test_norm[4] = { 0.0, 0.0, 0.0, 0.0 };
+ int test_index[4];
+ for (int i = 0; i < 4; i++)
+ {
+ test_index[i] = (i < 2) ? static_cast<int>(start_line[0])
+ : static_cast<int>(finish_line[1]);
+ do
+ {
+ next_index_hull = ((i + 1) % 2 != 0) ? test_index[i] + 1 : test_index[i] - 1;
+ if (next_index_hull == hull_size) { next_index_hull = 0; }
+ if (next_index_hull == -1) { next_index_hull = hull_size - 1; }
+ test_norm[i] += norm(hull[0][next_index_hull] - hull[0][unstable_pnt]);
+ test_index[i] = next_index_hull;
+ }
+ while(test_index[i] != unstable_pnt);
+ }
+
+ std::vector<Point> result_angle_list(4), test_result_angle_list(4);
+ double min_area = std::numeric_limits<double>::max(), test_area;
+ index_hull = start_line[0];
+ do
+ {
+ if (test_norm[0] < test_norm[1]) { next_index_hull = index_hull + 1; }
+ else { next_index_hull = index_hull - 1; }
+
+ if (next_index_hull == hull_size) { next_index_hull = 0; }
+ if (next_index_hull == -1) { next_index_hull = hull_size - 1; }
+
+ extra_index_hull = finish_line[1];
+ do
+ {
+ if (test_norm[2] < test_norm[3]) { extra_next_index_hull = extra_index_hull + 1; }
+ else { extra_next_index_hull = extra_index_hull - 1; }
+
+ if (extra_next_index_hull == hull_size) { extra_next_index_hull = 0; }
+ if (extra_next_index_hull == -1) { extra_next_index_hull = hull_size - 1; }
+
+ test_result_angle_list[0]
+ = intersectionLines(result_side_begin[0], result_side_end[0],
+ result_side_begin[1], result_side_end[1]);
+ test_result_angle_list[1]
+ = intersectionLines(result_side_begin[1], result_side_end[1],
+ hull[0][extra_index_hull], hull[0][extra_next_index_hull]);
+ test_result_angle_list[2]
+ = intersectionLines(hull[0][extra_index_hull], hull[0][extra_next_index_hull],
+ hull[0][index_hull], hull[0][next_index_hull]);
+ test_result_angle_list[3]
+ = intersectionLines(hull[0][index_hull], hull[0][next_index_hull],
+ result_side_begin[0], result_side_end[0]);
+ test_area = getQuadrilateralArea(test_result_angle_list[0],
+ test_result_angle_list[1],
+ test_result_angle_list[2],
+ test_result_angle_list[3]);
+ if (min_area > test_area)
+ {
+ min_area = test_area;
+ for (size_t i = 0; i < test_result_angle_list.size(); i++)
+ {
+ result_angle_list[i] = test_result_angle_list[i];
+ }
+ }
+
+ extra_index_hull = extra_next_index_hull;
+ }
+ while(extra_index_hull != unstable_pnt);
+
+ index_hull = next_index_hull;
+ }
+ while(index_hull != unstable_pnt);
+
+ if (norm(result_angle_list[0] - angle_list[2]) >
+ norm(angle_list[2] - angle_list[1]) / 3) { result_angle_list[0] = angle_list[2]; }
+
+ if (norm(result_angle_list[1] - angle_list[1]) >
+ norm(angle_list[1] - angle_list[0]) / 3) { result_angle_list[1] = angle_list[1]; }
+
+ if (norm(result_angle_list[2] - angle_list[0]) >
+ norm(angle_list[0] - angle_list[3]) / 3) { result_angle_list[2] = angle_list[0]; }
+
+ if (norm(result_angle_list[3] - angle_list[3]) >
+ norm(angle_list[3] - angle_list[2]) / 3) { result_angle_list[3] = angle_list[3]; }
+
+
+
+ return result_angle_list;
+}
+
+// b __________ c
+// / |
+// / |
+// / S |
+// / |
+// a --------------- d
+
+double QRDecode::getQuadrilateralArea(Point a, Point b, Point c, Point d)
+{
+ double length_sides[4], perimeter = 0.0, result_area = 1.0;
+ length_sides[0] = norm(a - b); length_sides[1] = norm(b - c);
+ length_sides[2] = norm(c - d); length_sides[3] = norm(d - a);
+
+ for (int i = 0; i < 4; i++) { perimeter += length_sides[i]; }
+ perimeter /= 2;
+
+ for (int i = 0; i < 4; i++)
+ {
+ result_area *= (perimeter - length_sides[i]);
+ }
+
+ result_area = sqrt(result_area);
+
+ return result_area;
+}
+
+// / | b
+// / |
+// / |
+// a/ | c
+
+double QRDecode::getCosVectors(Point a, Point b, Point c)
+{
+ return ((a - b).x * (c - b).x + (a - b).y * (c - b).y) / (norm(a - b) * norm(c - b));
+}
+
+CV_EXPORTS bool detectQRCode(InputArray in, std::vector<Point> &points, double eps_x, double eps_y)
+{
+ CV_Assert(in.isMat());
+ CV_Assert(in.getMat().type() == CV_8UC1);
+ QRDecode qrdec;
+ qrdec.init(in.getMat(), eps_x, eps_y);
+ qrdec.binarization();
+ if (!qrdec.localization()) { return false; }
+ if (!qrdec.transformation()) { return false; }
+ points = qrdec.getTransformationPoints();
+ return true;
+}
+
+}