Computer Graphics
TU Braunschweig

Compressed Manifold Modes for Mesh Processing

Compressed Manifold Modes for Mesh Processing

This paper introduces compressed eigenfunctions of the Laplace-Beltrami operator on 3D manifold surfaces. They constitute a novel functional basis, called the compressed manifold basis, where each function has local support. We derive an algorithm, based on the alternating direction method of multipliers (ADMM), to compute this basis on a given triangulated mesh. We show that compressed manifold modes identify key shape features, yielding an intuitive understanding of the basis for a human observer, where a shape can be processed as a collection of parts. We evaluate compressed manifold modes for potential applications in in shape matching and mesh abstraction. Our results show that this basis has distinct advantages over existing alternatives, indicating high potential for a wide range of use-cases in mesh processing.

Author(s):Thomas Neumann, Kiran Varanasi, Christian Theobalt, Marcus Magnor, Markus Wacker
Published:July 2014
Journal:Computer Graphics Forum (Proc. of Symposium on Geometry Processing SGP) Vol. 33
Presented at:Eurographics Symposium on Geometry Processing (SGP)
Project(s): Reality CG 

  title = {Compressed Manifold Modes for Mesh Processing},
  author = {Neumann, Thomas and Varanasi, Kiran and Theobalt, Christian and Magnor, Marcus and Wacker, Markus},
  journal = {Computer Graphics Forum (Proc. of Symposium on Geometry Processing {SGP})},
  volume = {33},
  number = {5},
  pages = {35--44},
  month = {Jul},
  year = {2014}