Anisotropic Quadrangulation

Day - Time: 16 July 2010, h.11:00
Place: Area della Ricerca CNR di Pisa - Room: I-06
  • Denis Zorin (New York University)

Nico Pietroni


Quadrangulation methods aim to approximate surfaces by semi-regular meshes with as few extraordinary vertices as possible. A number of techniques employ the harmonic parameterization to control angle distortion, or Poisson-based techniques to align to prescribed features. However, both techniques create near-isotropic quads. To keep the approximation error low, various approaches have been suggested to align the isotropic quads with principal curvature directions.

A different promising way is to allow for anisotropic elements, which are well- known to have significantly better approximation quality. In this work we present a simple and efficient technique to add curvature-dependent anisotropy to harmonic and Poisson parameterization and improve the approximation error of the quadrangulations. We use a metric derived from the shape operator which results in a more uniform error distribution, decreasing the error near features.