12:30pm
EQuad E415
Title: Irregular Subdivision and Signal Processing for Arbitrary Surface Triangulations
Abstract: Recent progress in 3D acquisition techniques and mesh simplification methods has made triangulated mesh hierarchies of arbitrary topology a basic geometric modeling primitive. These meshes typically have no regular structure so that classical processing methods such as Fourier and Wavelet transforms do not immediately apply.
In this talk I will report on some very recent work which is aimed at building signal processing type algorithms for unstructured surface triangulations. In particular I will introduce a new non-uniform relaxation technique which lets us build a Burt-Adelson type detail pyramid on top of a mesh simplification hierarchy (Progressive Meshes of Hoppe). The resulting multiresolution hierarchy makes it easy to perform a full range of standard signal processing tasks such as smoothing, enhancement, filtering and editing of arbitrary surface triangulations. I will explain the basic components of our approach, the motivation behind it, and show some examples demonstrating the power of our method.
This is a joint work with Wim Sweldens and Peter Schröder.