Fitting Polynomial Surfaces to Triangular Meshes with Voronoi Squared Distance Minimization

	Fitting Polynomial Surfaces to Triangular Meshes with Voronoi Squared Distance Minimization
	Nivolliers, Vincent; Yan, Dong-Ming; Lévy Bruno
	2014
发表期刊	Engineering with Computers
卷号	30 期号:3 页码:289-300
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.
关键词	Vsdm
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/14005
专题	模式识别国家重点实验室_多媒体计算与图形学
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.

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文件名称/大小	文献类型	版本类型	开放类型	使用许可
2014_EWC_VSDM.pdf（4422KB）	期刊论文	作者接受稿	开放获取	CC BY-NC-SA	浏览请求全文