Continuous monochrome image sampling
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How can I sample a continuous monochrome image (f(x, y) = x(1 − y) + y(1 − x), 0 ≤ x ≤ 1, 0 ≤ y ≤ 1) to a discrete image with with 5 x 7 pixels by letting the lower left pixel be a sample from point (0,0) and the upper right from (1,1)?
How it could be quantify the discrete image with 32 different gray levels from 0 to 31??
采纳的回答
xvec = linspace(0,1,7); %x is columns
yvec = linspace(0,1,5); %y is rows
[X, Y] = meshgrid(xvec, yvec);
F = X.*(1-Y) + Y.*(1-X);
imagesc(F); colormap(gray)
4 个评论
Ahmad Alosta
2022-9-9
You'd need to adjust the first 2 lines so that you have an array of 32, like
xvec = linspace(0,1,8); %x is columns
yvec = linspace(0,1,4); %y is rows
[X, Y] = meshgrid(xvec, yvec);
F = 32 * (X.*(1-Y) + Y.*(1-X)); % Gray levels range fromm 0 to 32.
imagesc(F);
colormap(gray);
%impixelinfo; % Uncomment in your own code (can't be used online).
For the case where what you care about is 32 gray levels
xvec = linspace(0,1,7); %x is columns
yvec = linspace(0,1,5); %y is rows
[X, Y] = meshgrid(xvec, yvec);
F = X.*(1-Y) + Y.*(1-X);
imagesc(F); colormap(gray(32))
For the case where you do care about the array being represented as 0 to 31
xvec = linspace(0,1,7); %x is columns
yvec = linspace(0,1,5); %y is rows
[X, Y] = meshgrid(xvec, yvec);
F = X.*(1-Y) + Y.*(1-X);
Fq = floor(rescale(F,0,32*(1-eps)));
imagesc(Fq); colormap(gray(32))
Ahmad Alosta
2022-9-25
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