--- /dev/null
+% Hough Transform for circles.
+% img : logical image, zeros are the circles edges
+% radius_range is a vector : [min, max]
+function [acc_votes, acc_radius1, acc_radius2, acc_alpha] = HTEllipse(img, radius_range)
+
+ [rows, columns] = size(img);
+
+ acc_votes = zeros(rows, columns);
+ acc_radius1 = zeros(rows, columns);
+ acc_radius2 = zeros(rows, columns);
+ acc_alpha = zeros(rows, columns);
+
+ alpha_range = linspace(0, pi / 2, 8);
+ alpha_range(end) = [];
+
+ phi_range = linspace(0, 2 * pi, 32);
+ phi_range(end) = [];
+
+ indexes_non_zero = find(img)';
+ s = size(img);
+
+ for alpha = alpha_range
+ transform_mat = [cos(alpha) -sin(alpha); sin(alpha) cos(alpha)];
+ for r1 = radius_range(1):radius_range(2)
+ for r2 = radius_range(1):radius_range(2)
+ acc = zeros(rows, columns);
+ for i = indexes_non_zero
+ [y, x] = ind2sub(s, i);
+ for phi = phi_range
+ p0 = [x; y] - transform_mat * [r1 * cos(phi); r2 * sin(phi)];
+ x0 = round(p0(1));
+ y0 = round(p0(2));
+
+ if x0 < columns && x0 > 0 && y0 < rows && y0 > 0
+ acc(y0, x0) = acc(y0, x0) + 1;
+ end
+ end
+ end
+
+ for x = 1:columns
+ for y = 1:rows
+ if acc(y, x) > acc_votes(y, x)
+ acc_votes(y, x) = acc(y, x);
+ acc_radius1(y, x) = r1;
+ acc_radius2(y, x) = r2;
+ acc_alpha(y, x) = alpha;
+ end
+ end
+ end
+ end
+ end
+ end
+
+ acc_votes = imgaussfilt(acc_votes, 1.0);
+end
+