SGP06: Eurographics Symposium on Geometry Processing
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Browsing SGP06: Eurographics Symposium on Geometry Processing by Subject "Categories and Subject Descriptors (according to ACM CCS): I.3.5 [Computer Graphics]: Surface Reconstruction from Scattered Data, Radial Basis Functions."
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Item Reconstruction with Voronoi Centered Radial Basis Functions(The Eurographics Association, 2006) Samozino, M.; Alexa, M.; Alliez, P.; Yvinec, M.; Alla Sheffer and Konrad PolthierWe consider the problem of reconstructing a surface from scattered points sampled on a physical shape. The sampled shape is approximated as the zero level set of a function. This function is defined as a linear combination of compactly supported radial basis functions. We depart from previous work by using as centers of basis functions a set of points located on an estimate of the medial axis, instead of the input data points. Those centers are selected among the vertices of the Voronoi diagram of the sample data points. Being a Voronoi vertex, each center is associated with a maximal empty ball. We use the radius of this ball to adapt the support of each radial basis function. Our method can fit a user-defined budget of centers: The selected subset of Voronoi vertices is filtered using the notion of lambda medial axis, then clustered to fit the allocated budget.