# Color map in polar axes

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Pritesh Bhoumick on 19 Sep 2017
Edited: Pritesh Bhoumick on 24 Sep 2017
I have a circular paper. I measure certain acoustic response on that paper. The measurement is taken by a stack of measuring instrument that move from one radial end to other radial end of the paper. So, I have the data in cartesian coordinates but I need to represent it in circular coordinates since the original material is circular in shape. And the plot needs to be a color map (like how pcolor does for cartesian plots). How do I make such color map in a circular plot?
I ave enclosed the X and Y axis values along with the corresponding measured data as TT in the attached excel file. They are in cartesian coordinate. I need to plot them as a color map such that it shows how the measured data is distributed over the circular paper.

KSSV on 19 Sep 2017
Read about cart2pol. This function converts your cartesian coordinates to polar coordinates and then you can use surf or pcolor.
Aaron Anderson on 19 Sep 2017
I am also looking for a solution. I am thinking of maybe using the pcolor with the cartesian coordinates and then somehow overlaying a polaraxes object. Though this is appearing to be a lot more work than I had initially anticipated. There is also no way to linkaxes (if that would do anything), as they are not the same coordinate systems.

Aaron Anderson on 20 Sep 2017
Edited: Aaron Anderson on 20 Sep 2017
I haven't tested it completely yet but it seems like it will do what we want. To be clear though you will have to convert from cart2pol first.
Just make sure your theta and R are 1xN matrices.
Pritesh Bhoumick on 24 Sep 2017
I tried that. I made the theta and R as 1xN matrices. But it needs the data points to be NxN matrice. That I do not have. Because I do not have X values for every possible Y's and vice versa. Have a look at the excel sheet I have shared. Let me know if you can make anything out of that. Thanks!