Elastic Correspondence between Triangle Meshes

D. Ezuz, B. Heeren, O. Azencot, M. Rumpf, M. Ben-Chen

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

We propose a novel approach for shape matching between triangular meshes that, in contrast to existing methods, can match crease features. Our approach is based on a hybrid optimization scheme, that solves simultaneously for an elastic deformation of the source and its projection on the target. The elastic energy we minimize is invariant to rigid body motions, and its non-linear membrane energy component favors locally injective maps. Symmetrizing this model enables feature aligned correspondences even for non-isometric meshes. We demonstrate the advantage of our approach over state of the art methods on isometric and non-isometric datasets, where we improve the geodesic distance from the ground truth, the conformal and area distortions, and the mismatch of the mean curvature functions. Finally, we show that our computed maps are applicable for surface interpolation, consistent cross-field computation, and consistent quadrangular remeshing of a set of shapes.

Original languageEnglish
Pages (from-to)121-134
Number of pages14
JournalComputer Graphics Forum
Volume38
Issue number2
DOIs
StatePublished - 1 May 2019
Externally publishedYes

Keywords

  • CCS Concepts
  • • Computing methodologies → Mesh models

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design

Fingerprint

Dive into the research topics of 'Elastic Correspondence between Triangle Meshes'. Together they form a unique fingerprint.

Cite this