עומרי אזנקוט

אקדמי בכיר

Elastic Correspondence between Triangle Meshes

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

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.

שפת פרסום אנגלית
דפים 121-134
כתב עת Computer Graphics Forum
כרך 38
נושא מספר 2
סטטוס פרסום פורסם - 01.05.2019

Keywords

CCS Concepts
• Computing methodologies → Mesh models

ASJC Scopus subject areas

Computer Graphics and Computer-Aided Design
גישה למסמך
10.1111/cgf.13624
קבצים וקישורים אחרים
Link to publication in Scopus