Spherical DCB-Spline Surfaces with Hierarchical and Adaptive Knot Insertion

—This paper develops a novel surface fitting scheme for automatically reconstructing a genus-0 object into a continuous parametric spline surface. A key contribution for making such a fitting method both practical and accurate is our spherical generalization of the Delaunay configuration B-spline (DCB-spline), a new non-tensor-product spline. In this framework, we efficiently compute Delaunay configurations on sphere by the union of two planar Delaunay configurations. Also, we develop a hierarchical and adaptive method that progressively improves the fitting quality by new knot-insertion strategies guided by surface geometry and fitting error. Within our framework, a genus-0 model can be converted to a single spherical spline representation whose root mean square error is tightly bounded within a user-specified tolerance. The reconstructed continuous representation has many attractive properties such as global smoothness and no auxiliary knots. We conduct several experiments...

• Type: Journal
• Year: 2012
• Where: TVCG
• Authors: Juan Cao, Xin Li, Zhonggui Chen, Hong Qin
• Keywords: Adaptive Method, Hardware, Mean Square Error, Surface Geometry, TVCG 2012