The Vector Space of Convex Curves: How to Mix Shapes
This work addresses shape analysis and perception problems for researchers in computer vision and cognitive science, but it appears incremental as it builds on existing methods with a new representation.
The authors tackled the problem of combining shape features of convex curves by introducing a log-radius profile representation and a new operation, which accurately and intuitively combines shape features, unlike standard angle profile-based methods.
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.