SIGGRAPH 2010 By Focus
Parameterizing Subdivision Surfaces
This paper shows that polygon parameterization produces sub-optimal results for subdivision surfaces and proposes a method for parameterizing subdivision surfaces in an as-rigid-as-possible fashion.
Topology- and Error-Driven Extension of Scalar Functions From Surfaces to Volumes
The paper addresses the problem of extending a scalar function f from the boundary of a 3D shape to its surrounding volume through a sequence of implicit and volumetric functions. The extension approximates f up to a specified accuracy and preserves the topology of f in terms of its critical points.
A Multi-Resolution Approach to Heat Kernels on Discrete Surfaces
An efficient and robust multi-resolution method for computing heat kernels on meshes.
Geometry-Aware Direction Field Processing
Many algorithms require definition of the orientation of some features (texture, hatches, or edges) at each point of a surface. This study produces such orientation fields and avoids field singularities yielded by geometric details. This weak control of topology makes it much easier to design direction fields.