An Investigation of Techniques for Asymmetry Rectification

Abstract

This paper is concerned with symmetry and asymmetry in objects. Earlier studies on the subject have dealt with the detection of symmetry. We study the problem of asymmetry rectification, i.e., given an asymmetric profile, suggest geometric changes to make it symmetric. We have investigated two techniques for asymmetry rectification. This paper reports on the techniques and the results. First, we analyze the problem using skeleton representations and propose a simple algorithm for rectifying asymmetric convex profiles. Next, we outline an optimization scheme for the rectification of convex and nonconvex profiles, in 2D and 3D. Implemented examples are presented for both algorithms.