Name
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. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1109/TVCG.2010.231 | IEEE Trans. Vis. Comput. Graph. |
Keywords | Field | DocType |
accurate approximation,nonregular convex hull domains,compatible mesh,nonregular approximation domain,initial cross-parameterization,convex hull,cross-parameterization process,partwise cross-parameterization,convex-hull cross-parameterization method,compatible remeshing algorithm,good approximation ability,linear convex representation,shape,solid modeling,approximation algorithms,critical point,geometry,three dimensional,critical points,approximation theory,measurement | Approximation algorithm,Mathematical optimization,Polygon mesh,Vertex (geometry),Computer science,Convex combination,Approximation theory,Algorithm,Convex hull,Convex set,Regular polygon,Theoretical computer science | Journal |
Volume | Issue | ISSN |
17 | 10 | 1941-0506 |
Citations | PageRank | References |
1 | 0.35 | 42 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Huaiyu Wu | 1 | 162 | 14.46 |
| Chunhong Pan | 2 | 1364 | 119.61 |
| Hongbin Zha | 3 | 2206 | 183.36 |
| Qing Yang | 4 | 391 | 21.97 |
| S. Ma | 5 | 1350 | 120.77 |