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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