One of the possible ways to quantify the symmetry of an image is to calculate the “Manhattan Norm”.
Please look at the helper function below to calculate the “Manhattan Norm”:
%% Manhattan Norm: To check the Symmetry of Image
%
% man_norm = Img - Img_Flipped;
%
% man_norm_per_img = (Img - Img_flipped)/size(Img);
function [man_norm, man_norm_per_img] = imageSymmetry(Img)
% Horizontal Flipping the Image
Img_Flipped = flip(Img, 2);
% Calculate size of image
[height, width, dim] = size(Img);
% Manhattan Norm calculation
man_norm = sum(imabsdiff(Img, Img_Flipped), 'all');
% Manhattan Norm per pixel calculation
man_norm_per_img = man_norm / (height * width * dim);
end
In order to view the symmetry of an image, call the above helper function:
Img = imread('me.jpg');
help imageSymmetry
[man_norm, man_norm_per_img] = imageSymmetry(Img);
fprintf('Manhattan norm: %d / per pixel: %d\n', man_norm, man_norm_per_img);
In order to know more about the functions used, please follow the documentation below:
- “fprintf" documentation: Display value of variable - MATLAB disp
- “flip” image in MATLAB: Flip order of elements - MATLAB flip
- “imabsdiff” to calculate the difference of two images: Absolute difference of two images - MATLAB imabsdiff
I hope the above information helps you.
