We present a novel, log-radius profile representation for convex curves and define a new operation for combining the shape features of curves. Unlike the standard, angle profile-based methods, this operation accurately combines the shape features in a visually intuitive manner. This method have implications in shape analysis as well as in investigating how the brain perceives and generates curved shapes and motions.
@article{arxiv.1506.07515,
title = {The Vector Space of Convex Curves: How to Mix Shapes},
author = {Dongsung Huh},
journal= {arXiv preprint arXiv:1506.07515},
year = {2015}
}