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@ -2,9 +2,17 @@ import numpy as np
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from scipy.signal import convolve2d
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from scipy.sparse import lil_matrix
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from scipy.sparse.linalg import spsolve
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from scipy.optimize import curve_fit
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import cv2
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import matplotlib
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import matplotlib.pyplot as plt
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from pathlib import Path
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from scipy.ndimage import correlate
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from skimage.restoration import richardson_lucy
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import os
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matplotlib.use('qtagg')
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"""
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https://setosa.io/ev/image-kernels/
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@ -130,70 +138,119 @@ def get_mask(image_file):
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def color_edge_detection(image, threshold=30):
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img_lab = cv2.cvtColor(image, cv2.COLOR_BGR2Lab)
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L, A, B = cv2.split(img_lab)
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def deconvolution(image_file):
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def gradient_magnitude(channel):
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gx = cv2.Sobel(channel, cv2.CV_64F, 1, 0, ksize=3)
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gy = cv2.Sobel(channel, cv2.CV_64F, 0, 1, ksize=3)
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return gx, gy
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image = cv2.imread(image_file, 0)
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# image = cv2.resize(image, (200, 200), interpolation= cv2.INTER_LINEAR)
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mask = get_mask(image_file)
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gxL, gyL = gradient_magnitude(L)
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gxA, gyA = gradient_magnitude(A)
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gxB, gyB = gradient_magnitude(B)
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gx_total = gxL**2 + gxA**2 + gxB**2
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gy_total = gyL**2 + gyA**2 + gyB**2
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magnitude = np.sqrt(gx_total + gy_total)
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magnitude = cv2.normalize(magnitude, None, 0, 255, cv2.NORM_MINMAX)
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edges = (magnitude > threshold).astype(np.uint8) * 255
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return edges, magnitude
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# Define 2D image and kernel
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# === Step 2: Extract Vertical Profile ===
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def extract_vertical_profile(image, center_x, center_y, length=21):
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half_len = length // 2
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y_range = np.clip(np.arange(center_y - half_len, center_y + half_len + 1), 0, image.shape[0] - 1)
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profile = image[y_range, center_x].astype(np.float64)
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profile -= profile.min()
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if profile.max() > 0:
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profile /= profile.max()
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return profile, y_range - center_y # profile, x-axis
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# === Step 3: Fit Gaussian ===
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def gaussian(x, amp, mu, sigma):
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return amp * np.exp(-(x - mu)**2 / (2 * sigma**2))
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def fit_gaussian(profile, x_vals):
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p0 = [1.0, 0.0, 2.0] # initial guess: amp, mu, sigma
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popt, _ = curve_fit(gaussian, x_vals, profile, p0=p0)
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return popt # amp, mu, sigma
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# === Step 4: Create Gaussian Kernel ===
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def create_gaussian_kernel(sigma):
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ksize = int(sigma * 6) | 1 # ensure odd size
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kernel_1d = cv2.getGaussianKernel(ksize, sigma)
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kernel_2d = kernel_1d @ kernel_1d.T
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return kernel_2d
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kernel = np.array([
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[1, 1, 1],
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[1, 1, 1],
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[1, 1, 1]
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], dtype=np.float32)
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kernel /= kernel.sum() # Normalize
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def kernel_detection(blurred, mask, edge_threshold=30, profile_length=21):
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edges, gradient_mag = color_edge_detection(blurred, threshold=edge_threshold)
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edges = cv2.bitwise_and(edges, edges, mask=mask)
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# show(edges)
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# Find central edge pixel
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y_idxs, x_idxs = np.where(edges > 0)
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if len(x_idxs) == 0:
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raise RuntimeError("No edges found.")
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idx = len(x_idxs) // 2
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cx, cy = x_idxs[idx], y_idxs[idx]
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gray = cv2.cvtColor(blurred, cv2.COLOR_BGR2GRAY)
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profile, x_vals = extract_vertical_profile(gray, cx, cy, length=profile_length)
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popt = fit_gaussian(profile, x_vals)
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amp, mu, sigma = popt
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print(f"Estimated Gaussian sigma: {sigma:.2f}")
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kernel = create_gaussian_kernel(sigma)
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print(kernel)
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return
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# Perform 2D convolution (blurring)
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h, w = image.shape
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kh, kw = kernel.shape
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pad_h, pad_w = kh // 2, kw // 2
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return kernel / kernel.sum()
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show(image)
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print("Original image:\n", image)
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print("\nBlurred image:\n", image)
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def deconvolution(image_file, edge_threshold=30, profile_length=21):
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blurred = cv2.imread(image_file)
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mask = get_mask(image_file)
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print("\nBuilding linear system for deconvolution...")
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kernel = kernel_detection(blurred, mask, edge_threshold=edge_threshold, profile_length=profile_length)
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# Step 2: Build sparse matrix A
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N = h * w
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A = lil_matrix((N, N), dtype=np.float32)
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b = image.flatten()
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test_blurred = cv2.imread(image_file, cv2.IMREAD_GRAYSCALE).astype(np.float32) / 255.0
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def index(y, x):
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return y * w + x
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deconvolved = richardson_lucy(test_blurred, kernel, num_iter=30)
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# Display results
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plt.figure(figsize=(12, 4))
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plt.subplot(1, 3, 1)
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plt.title("Blurred Image")
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plt.imshow(test_blurred, cmap='gray')
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plt.axis('off')
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plt.subplot(1, 3, 2)
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plt.title("Estimated Kernel")
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plt.imshow(kernel, cmap='hot')
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plt.axis('off')
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plt.subplot(1, 3, 3)
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plt.title("Deconvolved Image")
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plt.imshow(deconvolved, cmap='gray')
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plt.axis('off')
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plt.tight_layout()
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plt.show()
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for y in range(h):
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for x in range(w):
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row_idx = index(y, x)
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for ky in range(kh):
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for kx in range(kw):
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iy = y + ky - pad_h
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ix = x + kx - pad_w
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if 0 <= iy < h and 0 <= ix < w:
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col_idx = index(iy, ix)
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A[row_idx, col_idx] += kernel[ky, kx]
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# Step 3: Solve the sparse system A * x = b
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x = spsolve(A.tocsr(), b)
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deblurred = x.reshape((h, w))
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print("\nDeblurred image:\n", np.round(deblurred, 2))
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show(deblurred)
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if __name__ == "__main__":
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img_file = "assets/real_test.jpg"
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#demo("assets/omas.png")
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deconvolution(img_file)
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deconvolution(img_file, edge_threshold=10)
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