Color along line in polaraxes

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Christopher Miles on 5 May 2021

Commented: Christopher Mileson 5 May 2021

Accepted Answer: Chad Greene

I am trying to combine two "solved" aspects of MATLAB -- 1) plotting a 2D line with color that varies along the line in 2) polar axes.

The first part is usually easy, and frequently asked: //www.tatmou.com/matlabcentral/answers/5042-how-do-i-vary-color-along-a-2d-line or https://stackoverflow.com/questions/8559133/how-to-vary-the-line-color-of-a-matlab-plot-like-colormap

The most commonly suggested trick is to use surf or mesh to create a "fake" 3D line and color this. However, this is not supported on polaraxes in MATLAB:

                        >> polaraxes, holdon;
                       
                        >> surf([1 1; 1 1], [2 2; 2 2], [3 3; 3 3])
                       
                        Errorusing newplot (line 80)
                       
                        AddingCartesian plot to polaraxes is not supported

One trick that does seem to work is using a sequence of line segments, as is done in cline.m from File Exchange.

>> polaraxes; holdon; cline;

Gives this

which is technically what I want... but as pointed out in the previous comments, is much uglier than the solution with surf or mesh since it draws individual segments.

Is there any other way to do this? I found this question also asked here //www.tatmou.com/matlabcentral/answers/439176-how-do-i-vary-the-color-along-a-line-in-polar-coordinates with an "accepted answer" that this does not seem possible, so I'm feeling a little pessimistic.

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Chad Greene on 5 May 2021

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//www.tatmou.com/matlabcentral/answers/822360-color-along-line-in-polaraxes#answer_692780

Edited:Chad Greene on 5 May 2021

What if you interpolate along a dense line and plot with polarscatter ?

I'm thinking something like this:

theta = linspace(0,6*pi,100000);

rho1 = theta/10;

polarscatter(theta,rho1,5,rho1,'filled')

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Christopher Miles on 5 May 2021

Yeah, this looks good. Much thanks!

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