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Creating Polar Histogram on Contour Segment

I am using OpenCV 3.1.1 on a Win10 64bit machine with C++.

I am attempting to implement the approach in Xingang, et al., "Bag of Contour Fragments for Robust Shape Classification" (2014). http://dl.acm.org/citation.cfm?id=258...

One aspect of that paper involves creating a sort of polar histogram of contour segments.

image description

On a contour segment, five points are picked. At each point, two histograms are/a single combined histogram is created: 1) the angle space is divided into 10 bins; and 2) the radius space is divided into 6 bins. This was done in Matlab which has a "polarhistogram" function that computes all of this.

My question is: what is the easiest way to do this in OpenCV?

Thanks for any help.