Cross-Parameterization and Compatible Remeshing of 3D Models

blending, transfer of texture or material properties, and fitting
template meshes to scan data, require a bijective mapping between
two or more models. This mapping, or cross-parameterization,
typically needs to preserve the shape and features of the
parameterized models, mapping legs to legs, ears to ears, and so on.
Most of the applications also require the models to be represented
by compatible meshes, i.e. meshes with identicalconnectivity, based
on the cross-parameterization.

This talk introduces novel methods for shape preserving
cross-parameterization and compatible remeshing. The novel
cross-parameterization method computes a low-distortion bijective
mapping between any pair of closed genus zero models. Using this
mapping, the remeshing algorithm preserves the user-defined feature
vertex correspondence and the shape correlation between the models.
The proposed remeshing algorithm generates output meshes with
significantly fewer elements compared to previous techniques, while
accurately approximating the input geometry. As demonstrated by the
examples, the compatible meshes we construct are ideally suitable for
morphing and other geometry processing applications.

Joint work with Vladislav Kraevoy