Fitting Polynomial Surfaces to Triangular Meshes with Voronoi Squared Distance Minimization
文献类型：期刊论文
| 作者 | Nivolliers, Vincent; Yan, Dong-Ming ; Lévy Bruno
|
| 刊名 | Engineering with Computers
 |
| 出版日期 | 2014 |
| 卷号 | 30期号:3页码:289-300 |
| 关键词 | Vsdm |
| 英文摘要 |
This paper introduces Voronoi squared distance
minimization (VSDM), an algorithm that fits a surface to
an input mesh. VSDM minimizes an objective function that
corresponds to a Voronoi-based approximation of the
overall squared distance function between the surface and
the input mesh (SDM). This objective function is a generalization
of the one minimized by centroidal Voronoi
tessellation, and can be minimized by a quasi-Newton
solver. VSDM naturally adapts the orientation of the mesh
elements to best approximate the input, without estimating
any differential quantities. Therefore, it can be applied to
triangle soups or surfaces with degenerate triangles, topological
noise and sharp features. Applications of fitting
quad meshes and polynomial surfaces to input triangular
meshes are demonstrated. |
| 源URL | [http://ir.ia.ac.cn/handle/173211/14005]  |
| 专题 | 自动化研究所_模式识别国家重点实验室_多媒体计算与图形学团队 |
| 推荐引用方式 GB/T 7714 | Nivolliers, Vincent,Yan, Dong-Ming,Lévy Bruno. Fitting Polynomial Surfaces to Triangular Meshes with Voronoi Squared Distance Minimization[J]. Engineering with Computers,2014,30(3):289-300. |
| APA | Nivolliers, Vincent,Yan, Dong-Ming,&Lévy Bruno.(2014).Fitting Polynomial Surfaces to Triangular Meshes with Voronoi Squared Distance Minimization.Engineering with Computers,30(3),289-300. |
| MLA | Nivolliers, Vincent,et al."Fitting Polynomial Surfaces to Triangular Meshes with Voronoi Squared Distance Minimization".Engineering with Computers 30.3(2014):289-300. |
入库方式： OAI收割
来源：自动化研究所
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