Name
Abstract | ||
|---|---|---|
In this paper we present a novel fast mesh parameterization algorithm based on subdivision scheme. First, an algorithm of approximating a given triangular mesh by the 4-point interpolatory subdivision is proposed, then a mesh parameterization method is developed based on the subdivision surface approximation algorithm. The novel mesh parameterization method is a generalization of the chordal parameterization to surface case, and it is more computationally efficient than previous methods because it obviates any computation of linear system of equations. Some numerical experiments show the efficiency of the novel algorithm. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.amc.2012.11.043 | Applied Mathematics and Computation |
Keywords | Field | DocType |
chordal parameterization,fast mesh parameterization algorithm,subdivision surface approximation algorithm,parameterization algorithm,4-point interpolatory subdivision,novel mesh parameterization method,previous method,mesh parameterization method,novel algorithm,triangular mesh,subdivision scheme,parameterization,approximation,texture mapping | Approximation algorithm,Mathematical optimization,System of linear equations,Mesh parameterization,Parametrization,Algorithm,Subdivision surface,Subdivision,Mathematics,Computation,Triangle mesh | Journal |
Volume | Issue | ISSN |
219 | 10 | 0096-3003 |
Citations | PageRank | References |
2 | 0.39 | 11 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chengming Liu | 1 | 3 | 2.14 |
| Zhongxuan Luo | 2 | 280 | 51.48 |
| Xiquan Shi | 3 | 93 | 12.31 |
| Fengshan Liu | 4 | 76 | 11.78 |
| Xiaonan Luo | 5 | 697 | 92.76 |