convert image to bitmap map image without using for loop

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Partition an image into 4 × 4 pixel blocks and
compute average for the block
N1 = N2 = 4
xi = ith pixel
now replace the values to 1 and zero to create a bitmap image.
Without using for loop, how can i write these 2 equations in simple code

Accepted Answer

Image Analyst
Image Analyst on 16 Feb 2019
Edited: Image Analyst on 16 Feb 2019
Try this:
% Compute mean in 4-by-4 blocks
% kernel = ones(4);
meanImage = conv2(double(grayImage), kernel, 'same') / numel(kernel);
% Compare actual image to mean image.
binaryImage = grayImage >= meanImage;
There will be some errors at the edge of the image where the window does not fit onto the image, like it's only 4 by 3 or whatever. If this is important, then you can use conv2 twice, once to sum the image and once to count the pixels, then divide the gray level sum image from the pixel count image. But usually edge effects are not worth worrying about because they get removed later in the process naturally.

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