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Fitting Polynomial Surfaces to Triangular Meshes with Voronoi Squared Distance Minimization
Nivolliers, Vincent; Yan, Dong-Ming; Lévy Bruno
Source PublicationEngineering with Computers
2014
Volume30Issue:3Pages: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.
KeywordVsdm
Document Type期刊论文
Identifierhttp://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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