Cross-parameterization and compatible remeshing of 3D models
- 1 August 2004
- journal article
- Published by Association for Computing Machinery (ACM) in ACM Transactions on Graphics
- Vol. 23 (3) , 861-869
- https://doi.org/10.1145/1015706.1015811
Abstract
Many geometry processing applications, such as morphing, shape blending, transfer of texture or material properties, and fitting template meshes to scan data, require a bijective mapping between two or more models. This mapping, or cross-parameterization , typically needs to preserve the shape and features of the parameterized models, mapping legs to legs, ears to ears, and so on. Most of the applications also require the models to be represented by compatible meshes, i.e. meshes with identical connectivity, based on the cross-parameterization. In this paper we introduce novel methods for shape preserving cross-parameterization and compatible remeshing. Our cross-parameterization method computes a low-distortion bijective mapping between models that satisfies user prescribed constraints. Using this mapping, the remeshing algorithm preserves the user-defined feature vertex correspondence and the shape correlation between the models. The remeshing algorithm generates output meshes with significantly fewer elements compared to previous techniques, while accurately approximating the input geometry. As demonstrated by the examples, the compatible meshes we construct are ideally suitable for morphing and other geometry processing applications.This publication has 16 references indexed in Scilit:
- Inter-surface mappingACM Transactions on Graphics, 2004
- Fundamentals of spherical parameterization for 3D meshesACM Transactions on Graphics, 2003
- Spherical parametrization and remeshingACM Transactions on Graphics, 2003
- The space of human body shapesACM Transactions on Graphics, 2003
- Globally smooth parameterizations with low distortionACM Transactions on Graphics, 2003
- MatchmakerACM Transactions on Graphics, 2003
- Least squares conformal maps for automatic texture atlas generationACM Transactions on Graphics, 2002
- Cut-and-paste editing of multiresolution surfacesACM Transactions on Graphics, 2002
- Recent Advances in Mesh MorphingComputer Graphics Forum, 2002
- Metamorphosis of arbitrary triangular meshesIEEE Computer Graphics and Applications, 2000