The Incremental Approximation of Nonrigid Motion

Abstract

In this paper we present an approach to the nonrigid shape-from-motion problem for surfaces in 3-space that involves incremental approximations. Specifically, assuming we know the shape of a surface before a nonrigid motion, we show how we can use monocular perspective images of the surface taken before and after the motion to obtain arbitrarily good approximations to both shape and motion parameters. We also present results obtained by implementing our method on images of real nonrigid motions.