Finish LAB5

# LAB 5

def extract_result_eastsouth(input_image):

    x, y = input_image.shape

    output_image = input_image[int(x/2):x, int(y/2):y]

    return output_image

def transform_centering(input_image):

    m, n = input_image.shape

    output_image = input_image

def centering(size):

    m, n = size

    centering_matrix = np.ones(size)

    mul1 = 1

    for i in range(m):

        mul2 = mul1

        for j in range(n):

            output_image[i, j] = input_image[i, j] * mul2

            centering_matrix[i, j] = centering_matrix[i, j] * mul2

            mul2 *= -1

        mul1 *= -1

    return output_image

    return centering_matrix

def generating_from_spatial_filter(input_filter, P, Q):

    output_filter = np.zeros(P, Q)

    return output_filter

    return g

def butterworth_filter(b, a, cx, cy, n, sigma):

def butterworth_filter(b, a, center, n, sigma):

    cx, cy = center

    x, y = np.meshgrid(np.linspace(0, a - 1, a), np.linspace(0, b - 1, b))

    x = x - cx

    y = y - cy