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
Source Publication	Engineering with Computers
	2014
Volume	30 Issue:3 Pages:289-300
Abstract	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.
Keyword	Vsdm
Document Type	期刊论文
Identifier	http://ir.ia.ac.cn/handle/173211/14005
Collection	模式识别国家重点实验室_多媒体计算与图形学
Recommended Citation 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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