How to interpolate a cloud of points?

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Francesco Pignatelli 2022-7-25

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https://ww2.mathworks.cn/matlabcentral/answers/1767405-how-to-interpolate-a-cloud-of-points

评论： Francesco Pignatelli 2022-7-26

采纳的回答： Matt J

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Hello all,

I have an set of 2D mean values from which I would like to compute the largest values. My 2D matrix is store so:

[rows, columns, count_there] = find(store == max(store));

By plotting rows vs columns I get the following picture:

I was wondering if there is any way to interpolate these data to get something like:

and to compute the length of it.

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采纳的回答

Matt J 2022-7-25

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https://ww2.mathworks.cn/matlabcentral/answers/1767405-how-to-interpolate-a-cloud-of-points#answer_1014710

编辑：Matt J 2022-7-25

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I've no way of testing this without your row/column data, but:

[rows, columns, count_there] = find(store == max(store));
[idx,edges]=discretize(columns,20);
edgectr=conv2(edges,[1,1]/2,'valid')';
G=findgroups(idx);
rowctr=splitapply(@median,rows,G);
colctr=splitapply(@(x) x(1),edgectr(idx),G);
scatter(rows,columns); hold on
plot(rowctr, colctr,'k-o','LineWidth',3); hold off
Length=sum(vecnorm(diff([rowctr(:),edgectr(:)]),2,2))