How to soften the boundaries within a matrix

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Andres Salomon Fielbaum Schnitzler
编辑： Andres Salomon Fielbaum Schnitzler 2022-2-22
Hi
I have a matrix M, size N1xN1, which only has positive integers, and is delimited by zones, as seen in the following picture created using image(M) (I changed the colormap and the axes, but that is not relevant for this question)
What I would like to know if there is a way to soften the boundaries between each area, i.e., that the curves do not seem discretized, but interpolated.
Thanks in advnace for any help

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回答（1 个）

Image Analyst
Image Analyst 2022-2-21
You can blur the matrix and rediscretize it.
windowWidth = 9;
kernel = ones(windowWidth) / windowWidth^2;
blurredImage = conv2(M, kernel, 'same');
% Now call discretize to quantize into the levels you had.
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Image Analyst
Image Analyst 2022-2-21
Again, attach M in a .mat file with the paperclip icon.
save('answers.mat', 'M');
Make it easy for me to help you. I'll check back in a couple hours.
In the meantime I'm attaching a demo where you can get the boundaries with bwboundary() and then smooth the boundary with a Savitzky-Golay filter.
Andres Salomon Fielbaum Schnitzler
Andres Salomon Fielbaum Schnitzler 2022-2-22
编辑：Andres Salomon Fielbaum Schnitzler 2022-2-22
Thanks Image Analyst. It was late in my time zone, so I did not connect back yesterday. I am now attaching the 'answers.mat' file, and also the code to create the figure just in case it helps.
Where did you attach the mentioned demo?

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