design a code for shape recognition using fourier descriptors in matlab

main.m
% Read the input image
input_img = imread('shape.jpg');
input_img_gray = rgb2gray(input_img);

% Convert image to binary
threshold = graythresh(input_img_gray);
input_img_bw = im2bw(input_img_gray, threshold);

% Find contours using bwboundaries
boundaries = bwboundaries(input_img_bw);

% Get the first contour (assuming it is the boundary of the shape)
shape_contour = boundaries{1};

% Calculate Fourier descriptors
fourier_descriptors = ifft(log(abs(fft(shape_contour(:,1) + 1i*shape_contour(:,2)))));

% Display the input image and shape contour
figure;
imshow(input_img);
hold on;
plot(shape_contour(:,2), shape_contour(:,1), 'r', 'LineWidth', 2);
title('Detected Shape Contour');

% Display Fourier descriptors
figure;
plot(real(fourier_descriptors), imag(fourier_descriptors), '.-b');
title('Fourier Descriptors');
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