From 408c5deb3adb0f128f51d3d72e7664f5b864e9b7 Mon Sep 17 00:00:00 2001 From: Shoujue Xu Date: Fri, 5 Jul 2019 16:20:11 +0800 Subject: [PATCH] add gaussian filter algorithm and lena.jpg (#955) --- .../filters/gaussian_filter.py | 53 ++++++++++++++++++ .../filters/median_filter.py | 2 +- digital_image_processing/image_data/lena.jpg | Bin 0 -> 104428 bytes 3 files changed, 54 insertions(+), 1 deletion(-) create mode 100644 digital_image_processing/filters/gaussian_filter.py create mode 100644 digital_image_processing/image_data/lena.jpg diff --git a/digital_image_processing/filters/gaussian_filter.py b/digital_image_processing/filters/gaussian_filter.py new file mode 100644 index 000000000..ff85ce047 --- /dev/null +++ b/digital_image_processing/filters/gaussian_filter.py @@ -0,0 +1,53 @@ +""" +Implementation of gaussian filter algorithm +""" +from cv2 import imread, cvtColor, COLOR_BGR2GRAY, imshow, waitKey +from numpy import pi, mgrid, exp, square, zeros, ravel, dot, uint8 + + +def gen_gaussian_kernel(k_size, sigma): + center = k_size // 2 + x, y = mgrid[0-center:k_size-center, 0-center:k_size-center] + g = 1/(2*pi*sigma) * exp(-(square(x) + square(y))/(2*square(sigma))) + return g + + +def gaussian_filter(image, k_size, sigma): + height, width = image.shape[0], image.shape[1] + # dst image height and width + dst_height = height-k_size+1 + dst_width = width-k_size+1 + + # im2col, turn the k_size*k_size pixels into a row and np.vstack all rows + image_array = zeros((dst_height*dst_width, k_size*k_size)) + row = 0 + for i in range(0, dst_height): + for j in range(0, dst_width): + window = ravel(image[i:i + k_size, j:j + k_size]) + image_array[row, :] = window + row += 1 + + # turn the kernel into shape(k*k, 1) + gaussian_kernel = gen_gaussian_kernel(k_size, sigma) + filter_array = ravel(gaussian_kernel) + + # reshape and get the dst image + dst = dot(image_array, filter_array).reshape(dst_height, dst_width).astype(uint8) + + return dst + + +if __name__ == '__main__': + # read original image + img = imread(r'../image_data/lena.jpg') + # turn image in gray scale value + gray = cvtColor(img, COLOR_BGR2GRAY) + + # get values with two different mask size + gaussian3x3 = gaussian_filter(gray, 3, sigma=1) + gaussian5x5 = gaussian_filter(gray, 5, sigma=0.8) + + # show result images + imshow('gaussian filter with 3x3 mask', gaussian3x3) + imshow('gaussian filter with 5x5 mask', gaussian5x5) + waitKey() diff --git a/digital_image_processing/filters/median_filter.py b/digital_image_processing/filters/median_filter.py index eea429563..ed20b1ab7 100644 --- a/digital_image_processing/filters/median_filter.py +++ b/digital_image_processing/filters/median_filter.py @@ -28,7 +28,7 @@ def median_filter(gray_img, mask=3): if __name__ == '__main__': # read original image - img = imread('lena.jpg') + img = imread('../image_data/lena.jpg') # turn image in gray scale value gray = cvtColor(img, COLOR_BGR2GRAY) diff --git 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