Non-rigid registration of 2D manifolds in 3D Euclidian space

Abstract

This work describes a non-rigid registration method for open 2D manifold embedded in 3D Euclidian space. The method is based on difference of distance maps and grid based warps interpolated by splines constrained in such a way that the deformation field is diffeomorphic. We then create a dense surface to surface correspondence using angle weighted normals and ray tracing. The implementation using a derivation of the inverse compositional algorithm for optimization of computational speed is described. The results are evaluated as a shape model showing the principal modes of variation.