Model topology change with correspondence using electrostatics

Abstract

This paper introduces a method for finding a dense correspondence between objects of varying topology or connectivity by using a proxy, genus zero mesh alongside the technique of Blended Intrinsic Maps. Harmonic space parameterisation is used to create a closed, genus zero shape that approximates the geometry of the original object. This allows for noisy or topologically different representations of objects to be mapped to one another, with seams in the mapping falling in generally hidden concave areas and tunnels. The paper presents example mapping between objects with and without holes, as well as objects that consist of a number of disconnected segments.