Spectral Conformal Parameterization - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Computer Graphics Forum Year : 2008

Spectral Conformal Parameterization

Patrick Mullen
  • Function : Author
  • PersonId : 855051
Yiying Tong
  • Function : Author
  • PersonId : 855052
Pierre Alliez
Mathieu Desbrun

Abstract

We present a spectral approach to automatically and efficiently obtain discrete free-boundary conformal parameterizations of triangle mesh patches, without the common artifacts due to positional constraints on vertices and without undue bias introduced by sampling irregularity. High-quality parameterizations are computed through a constrained minimization of a discrete weighted conformal energy by finding the largest eigenvalue/eigenvector of a generalized eigenvalue problem involving sparse, symmetric matrices. We demonstrate that this novel and robust approach improves on previous linear techniques both quantitatively and qualitatively.
Fichier principal
Vignette du fichier
SpectralConformal08.pdf (9.68 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

inria-00334477 , version 1 (05-11-2008)

Identifiers

  • HAL Id : inria-00334477 , version 1

Cite

Patrick Mullen, Yiying Tong, Pierre Alliez, Mathieu Desbrun. Spectral Conformal Parameterization. Computer Graphics Forum, 2008, Eurographics Symposium on Geometry Processing, 27 (5), pp.1487--1494. ⟨inria-00334477⟩

Collections

INRIA INRIA2
194 View
711 Download

Share

Gmail Facebook X LinkedIn More