import gradio as gr import cv2 import matplotlib.animation as animation import matplotlib.pyplot as plt import numpy as np from scipy.integrate import quad_vec from math import tau import os def fourier_transform_drawing(input_image, output_animation, frames, coefficients): # Convert input_image to an OpenCV image input_image = np.array(input_image) img = cv2.cvtColor(input_image, cv2.COLOR_RGB2BGR) # processing imgray = cv2.cvtColor(img, cv2.COLOR_BGR2GRAY) blurred = cv2.GaussianBlur(imgray, (7, 7), 0) (T, thresh) = cv2.threshold(blurred, 0, 255, cv2.THRESH_BINARY_INV | cv2.THRESH_OTSU) contours, _ = cv2.findContours(thresh, cv2.RETR_TREE, cv2.CHAIN_APPROX_SIMPLE) largest_contour_idx = np.argmax([len(c) for c in contours]) verts = [tuple(coord) for coord in contours[largest_contour_idx].squeeze()] xs, ys = zip(*verts) xs = np.asarray(xs) - np.mean(xs) ys = - np.asarray(ys) + np.mean(ys) t_list = np.linspace(0, tau, len(xs)) # Compute the Fourier coefficients def f(t, t_list, xs, ys): return np.interp(t, t_list, xs + 1j*ys) def compute_cn(f, n): coef = 1/tau*quad_vec( lambda t: f(t, t_list, xs, ys)*np.exp(-n*t*1j), 0, tau, limit=100, full_output=False)[0] return coef N = coefficients coefs = [(compute_cn(f, 0), 0)] + [(compute_cn(f, j), j) for i in range(1, N+1) for j in (i, -i)] # animate the drawings fig, ax = plt.subplots() circles = [ax.plot([], [], 'b-')[0] for _ in range(-N, N+1)] circle_lines = [ax.plot([], [], 'g-')[0] for _ in range(-N, N+1)] drawing, = ax.plot([], [], 'r-', linewidth=2) ax.set_xlim(-500, 500) ax.set_ylim(-500, 500) ax.set_axis_off() ax.set_aspect('equal') fig.set_size_inches(15, 15) draw_x, draw_y = [], [] def animate(i, coefs, time): t = time[i] coefs = [(c * np.exp(1j*(fr * tau * t)), fr) for c, fr in coefs] center = (0, 0) for c, _ in coefs: r = np.linalg.norm(c) theta = np.linspace(0, tau, 80) x, y = center[0] + r * np.cos(theta), center[1] + r * np.sin(theta) circle_lines[_].set_data([center[0], center[0]+np.real(c)], [center[1], center[1]+np.imag(c)]) circles[_].set_data(x, y) center = (center[0] + np.real(c), center[1] + np.imag(c)) draw_x.append(center[0]) draw_y.append(center[1]) drawing.set_data(draw_x, draw_y) drawing_time = 1 time = np.linspace(0, drawing_time, num=frames) anim = animation.FuncAnimation(fig, animate, frames=frames, interval=5, fargs=(coefs, time)) anim.save(output_animation, fps=15) plt.close(fig) return output_animation # Gradio interface interface = gr.Interface( fn=fourier_transform_drawing, inputs=[ gr.Image(label="Input Image", sources=['upload'], type="pil"), gr.Textbox(label="Output Animation Path"), gr.Slider(minimum=10, maximum=500, value=300, label="Number of Frames"), gr.Slider(minimum=10, maximum=500, value=300, label="Number of Coefficients") ], outputs="file", title="Fourier Transform Drawing", description="Upload an image and generate a Fourier Transform drawing animation." ) if __name__ == "__main__": interface.launch()