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"""A file containing a (pretty useless) reconstruction.
It serves as example of how the project works.
This file should NOT be modified.
"""
import numpy as np
from scipy.signal import convolve2d
from src.forward_model import CFA
def naive_interpolation(op: CFA, y: np.ndarray) -> np.ndarray:
"""Performs a simple interpolation of the lost pixels.
Args:
op (CFA): CFA operator.
y (np.ndarray): Mosaicked image.
Returns:
np.ndarray: Demosaicked image.
"""
z = op.adjoint(y)
if op.cfa == 'bayer':
res = np.empty(op.input_shape)
res[:, :, 0] = convolve2d(z[:, :, 0], ker_bayer_red_blue, mode='same')
res[:, :, 1] = convolve2d(z[:, :, 1], ker_bayer_green, mode='same')
res[:, :, 2] = convolve2d(z[:, :, 2], ker_bayer_red_blue, mode='same')
else:
res = np.empty(op.input_shape)
res[:, :, 0] = varying_kernel_convolution(z[:, :, 0], K_list_red)
res[:, :, 1] = varying_kernel_convolution(z[:, :, 1], K_list_green)
res[:, :, 2] = varying_kernel_convolution(z[:, :, 2], K_list_blue)
return res
def extract_padded(M, size, i, j):
N_i, N_j = M.shape
res = np.zeros((size, size))
middle_size = int((size - 1) / 2)
for ii in range(- middle_size, middle_size + 1):
for jj in range(- middle_size, middle_size + 1):
if i + ii >= 0 and i + ii < N_i and j + jj >= 0 and j + jj < N_j:
res[middle_size + ii, middle_size + jj] = M[i + ii, j + jj]
return res
def varying_kernel_convolution(M, K_list):
N_i, N_j = M.shape
res = np.zeros_like(M)
for i in range(N_i):
for j in range(N_j):
res[i, j] = np.sum(extract_padded(M, K_list[4 * (i % 4) + j % 4].shape[0], i, j) * K_list[4 * (i % 4) + j % 4])
np.clip(res, 0, 1, res)
return res
K_identity = np.zeros((5, 5))
K_identity[2, 2] = 1
K_red_0 = np.zeros((5, 5))
K_red_0[2, :] = np.array([-3, 13, 0, 0, 2]) / 12
K_red_1 = np.zeros((5, 5))
K_red_1[2, :] = np.array([2, 0, 0, 13, -3]) / 12
K_red_8 = np.zeros((5, 5))
K_red_8[:2, :2] = np.array([[-1, -1], [-1, 9]]) / 6
K_red_9 = np.zeros((5, 5))
K_red_9[:2, 3:] = np.array([[-1, -1], [9, -1]]) / 6
K_red_10 = np.zeros((5, 5))
K_red_10[:, 2] = np.array([-3, 13, 0, 0, 2]) / 12
K_red_12 = np.zeros((5, 5))
K_red_12[3:, :2] = np.array([[-1, 9], [-1, -1]]) / 6
K_red_13 = np.zeros((5, 5))
K_red_13[3:, 3:] = np.array([[9, -1], [-1, -1]]) / 6
K_red_14 = np.zeros((5, 5))
K_red_14[:, 2] = np.array([2, 0, 0, 13, -3]) / 12
K_list_red = [K_red_0, K_red_1, K_identity, K_identity, K_red_0, K_red_1, K_identity, K_identity, K_red_8, K_red_9, K_red_10, K_red_10, K_red_12, K_red_13, K_red_14, K_red_14]
K_green_2 = np.zeros((5, 5))
K_green_2[2, :] = [-3, 13, 0, 0, 2]
K_green_2[:, 2] = [-3, 13, 0, 0, 2]
K_green_2 = K_green_2 / 24
K_green_3 = np.zeros((5, 5))
K_green_3[2, :] = [2, 0, 0, 13, -3]
K_green_3[:, 2] = [-3, 13, 0, 0, 2]
K_green_3 = K_green_3 / 24
K_green_6 = np.zeros((5, 5))
K_green_6[2, :] = [-3, 13, 0, 0, 2]
K_green_6[:, 2] = [2, 0, 0, 13, -3]
K_green_6 = K_green_6 / 24
K_green_7 = np.zeros((5, 5))
K_green_7[2, :] = [2, 0, 0, 13, -3]
K_green_7[:, 2] = [2, 0, 0, 13, -3]
K_green_7 = K_green_7 / 24
K_list_green = [K_identity, K_identity, K_green_2, K_green_3, K_identity, K_identity, K_green_6, K_green_7, K_green_2, K_green_3, K_identity, K_identity, K_green_6, K_green_7, K_identity, K_identity]
K_list_blue = [K_red_10, K_red_10, K_red_8, K_red_9, K_red_14, K_red_14, K_red_12, K_red_13, K_identity, K_identity, K_red_0, K_red_1, K_identity, K_identity, K_red_0, K_red_1]
ker_bayer_red_blue = np.array([[1, 2, 1], [2, 4, 2], [1, 2, 1]]) / 4
ker_bayer_green = np.array([[0, 1, 0], [1, 4, 1], [0, 1, 0]]) / 4
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# 2023
# Authors: Mauro Dalla Mura and Matthieu Muller