Rescale points plotted using scatter3 based on their distance from the origin

Question

James Peach 2020-9-28

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/601393-rescale-points-plotted-using-scatter3-based-on-their-distance-from-the-origin

评论： James Peach 2020-9-28

I wanted to know if its possible to rescale the markersizes used in scatter3 based on the marker's distance from the origin (0,0,0). I would like to make it so that if a point is closer to center then it is larger than the next point closests to it. Basically, I am hoping to have the largest points closer to the center and the smallest points farther away.

Here is the set of points that I am trying to rescale their markers. the biggest marker should be at (0,0,0) and then the rest should get smaller as they moved away from the center.

A = [0	0	0
0.00977495601952172	0.0129188554738323	0.999868768093125
-0.566794094824837	-0.823750570492204	0.0133959578031223
0.0279587435128966	0.0380588867245362	1.99938731654588
0.830388266617646	0.583999369869120	0.978401571089338
-1.07826433834531	-1.64452537544960	0.267810795303313
0.168715496407312	0.263085998125572	2.96351922435162
-0.791458202545459	0.611268411797120	0.998070417818667
-1.41124221175034	-0.289407593850698	0.0506110237693017
1.69942938355116	1.04462646221878	1.15892918358242
-1.55216375501531	-2.44987966243271	0.623934110066297
0.188310075544404	0.501770043093754	3.93441879647330
-1.44603145623221	1.35107113546187	1.15371676572365
-2.35391403973316	0.0183196401577155	0.179737992978120
2.59879677816763	1.38804628951095	1.42948622326796
-1.92629974765512	-3.28302931738291	1.03122259685150
0.190461468181228	0.731318108759712	4.90771374511875
-2.01837467713375	2.14014570650778	1.37684130228734
-3.30531517848174	0.217844651708771	0.414313445558867
3.50709118523837	1.65551615551852	1.75113998255253
-2.23204460424917	-4.13488361866807	1.45650407075820
0.193343935566412	0.934427321909631	5.88686559182864
-2.51244231909718	2.97180232130260	1.63030617210704
-4.25650570961388	0.357419056329789	0.689550723301627
4.41845060685608	1.87363023778730	2.10021053665969];

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Answer 1

Turlough Hughes 2020-9-28

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/601393-rescale-points-plotted-using-scatter3-based-on-their-distance-from-the-origin#answer_501841

编辑：Turlough Hughes 2020-9-28

在 MATLAB Online 中打开

Yes. Firstly get distances from the origin:

d = sqrt(sum(A.^2,2));

If you have the machine learning & statistics toolbox, you might prefer to use the pdist2 function. Next you need to define an equation where size decreases for increasing values of d, obviously you can define that how you like the following is just an example of one way you could do it:

sz = 5*(max(d) - d + 1) % some function do describe size w.r.t distance from O.

Then its just a case of inputting that into scatter3

scatter3(A(:,1),A(:,2),A(:,3),sz,'fill')