Radially averaqe 2D square matrix z into m bins and demonstration routine
Updated 23 Jan 2022

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[Zr, R] = RADIALAVG(z,m,xo,yo) computes the average along the radius of a unit circle inscribed in the square matrix z. The average is computed in M bins. The radial average is computed 1/2 bin beyond the unit circle, but all values beyond that (i.e. corners of the matrix z) are excluded from the calculation. The radial average is returned in Zr and the mid-points of the M bins are returned in vector R. RADIALAVG will fail if Not a Number (NaN) values are in the data z; they are not excluded from the calculation. If offset values xo,yo are used, the origin (0,0) of the unit circle about which the RADIALAVG is computed is offset by xo and yo relative to the origin of the unit square of the input z matrix.

Cite As

David Fischer (2024). radialavg.zip (https://www.mathworks.com/matlabcentral/fileexchange/46468-radialavg-zip), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2006b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Version Published Release Notes

Updated to use accumarray for faster calculation, plus small improvements. No longer NaN safe due to accumarray. Is "plug and play" replacement for original version. But results slightly different from prior version, so testing recommended.

Add origin offset

Excludes Not a Number (NaN) values from calculation