Plotting 3 variables of a single function

Question

Kayn 2014-1-28

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https://ww2.mathworks.cn/matlabcentral/answers/114036-plotting-3-variables-of-a-single-function

评论： Giuseppe Naselli 2014-4-24

Is it possible to plot three variables x,y and z of a single function f?

i.e. f = x^2 + y^2 + z^2, for example?

I'd want to plot the function 'f' with a range of values for x,y and z.

I've been looking at contour maps for two variables and would now, somehow, like to expand it to three variables and able to represent the function pictorially via a plot in Matlab.

Thanks!

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Answer 1

AJ von Alt 2014-1-28

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https://ww2.mathworks.cn/matlabcentral/answers/114036-plotting-3-variables-of-a-single-function#answer_122507

Sliceomatic on Matlab file exchange is a useful tool for this sort of visualization.

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AJ von Alt 2014-1-28

在 MATLAB Online 中打开

% define an array of values for x y and z
x = -10:0.1:10; 
y = -10:0.1:10; 
z = -10:0.1:10; 
% create a meshgrid
[Xmesh,Ymesh,Zmesh] = meshgrid(x,y,z);
% compute the function value at the meshgrid points
f = Xmesh.^2 + Ymesh.^2 + Zmesh.^2;
% launch sliceomatic
sliceomatic(f,x,y,z)

You can then select slices using the x y and z controls or view layers using the iso surface control

Giuseppe Naselli 2014-4-24

Hi All,

I need to do the same (plotting F as function of X,Y,Z) but I do not know the relationship between them.

Basically I have 4 column vectors F,X,Y,Z.

I can do the meshgrid(X,Y,Z) but I do not know how to manipulate F in order to use sliceomatic

Any idea?

Thanks in advance

G

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Answer 2

Walter Roberson 2014-1-28

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/114036-plotting-3-variables-of-a-single-function#answer_122508

http://www.mathworks.com/help/matlab/ref/slice.html

http://www.mathworks.com/help/matlab/ref/isosurface.html

For a full plot of 3 independent variables and one resultant variable, you need to encode the resultant variable as marker shape (one scatter3 or plot3 call for each different marker shape), or point size (scatter3; or a lot of plot3 calls), or as color (scatter3 or patch or a lot of plot3 calls), or as transparency (patch). (Though transparency by itself is hard to see.)