How to obtain a histogram for 3d data?

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Jessie Bessel 2022-3-20

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评论： Jessie Bessel 2022-3-20

A.mat
B.mat

Hello!

I'm curious about an extension of the hist3 function in matlab. For a data set in 2D, hist3 is a 3D representation shaped like the data. For example, for matrix A, I get the results:

load A
plot(A(:,1),A(:,2),'linewidth',2); axis tight; grid on;
figure; hist3(A,'Nbins',[30 30],'CDataMode','auto','FaceColor','interp');

But if we consider a 3D data input like B:

load B
plot3(B(:,1),B(:,2),B(:,3),'linewidth',2); axis tight; grid on;

Is there any function that can give a representation shaped like the data based on histogram? Something similar to hist3? To show the histogram and the shape of the data too?

Thank you!

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Answer 1

Torsten 2022-3-20

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编辑：Torsten 2022-3-20

Since your curves are all 1d, a 1d- histogram suffices if you identify x-axis coordinate with curve length or parametrized points in 2d resp. 3d.

A histogram for 3d-data in general is not possible. It would be a representation in 4d - and humans live in 3d.

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Torsten 2022-3-20

Yes, that's why I suggested a 1d-histogram. For a presentation, show the curve in 3d where the distribution lives together with the 1d-histogram in which the x-axis represents curve length.

Jessie Bessel 2022-3-20