Partwise Cross-Parameterization via Nonregular Convex Hull Domains
- 28 October 2010
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Visualization and Computer Graphics
- Vol. 17 (10), 1531-1544
- https://doi.org/10.1109/tvcg.2010.231
Abstract
In this paper, we propose a novel partwise framework for cross-parameterization between 3D mesh models. Unlike most existing methods that use regular parameterization domains, our framework uses nonregular approximation domains to build the cross-parameterization. Once the nonregular approximation domains are constructed for 3D models, different (and complex) input shapes are transformed into similar (and simple) shapes, thus facilitating the cross-parameterization process. Specifically, a novel nonregular domain, the convex hull, is adopted to build shape correspondence. We first construct convex hulls for each part of the segmented model, and then adopt our convex-hull cross-parameterization method to generate compatible meshes. Our method exploits properties of the convex hull, e.g., good approximation ability and linear convex representation for interior vertices. After building an initial cross-parameterization via convex-hull domains, we use compatible remeshing algorithms to achieve an accurate approximation of the target geometry and to ensure a complete surface matching. Experimental results show that the compatible meshes constructed are well suited for shape blending and other geometric applications.This publication has 40 references indexed in Scilit:
- Deformation‐Driven Shape CorrespondenceComputer Graphics Forum, 2008
- Consistent Correspondence between Arbitrary Manifold SurfacesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2007
- Easy Mesh CuttingComputer Graphics Forum, 2006
- Cross-parameterization and compatible remeshing of 3D modelsPublished by Association for Computing Machinery (ACM) ,2004
- Modeling by exampleACM Transactions on Graphics, 2004
- The space of human body shapesPublished by Association for Computing Machinery (ACM) ,2003
- Spherical parametrization and remeshingPublished by Association for Computing Machinery (ACM) ,2003
- Estimating the tensor of curvature of a surface from a polyhedral approximationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Metamorphosis of Polyhedral Surfaces using DecompositionComputer Graphics Forum, 2002
- Consistent mesh parameterizationsPublished by Association for Computing Machinery (ACM) ,2001