Title :
Submesh splines over hierarchical T-meshes
Author :
Jin, Liangbing ; Deng, Jiansong ; Chen, Falai
Author_Institution :
Dept. of Math., Univ. of Sci. & Technol. of China, Hefei, China
Abstract :
In this paper we propose a new type of splines -biquadratic submesh splines over hierarchical T-meshes. The biquadratic submesh splines are in rational form consisting of some biquadratic B-splines defined over tensor-product submeshes of a hierarchical T-mesh, where every submesh is around a cell in the crossing-vertex relationship graph of the T-mesh. We provide an effective algorithm to locate the valid tensor-product submeshes. A local refinement algorithm is presented and the application of submesh splines in surface fitting is provided.
Keywords :
computational geometry; graph theory; mesh generation; solid modelling; splines (mathematics); surface fitting; tensors; biquadratic submesh B-spline; computer graphics; crossing-vertex relationship graph; geometric modeling; hierarchical T-mesh; local refinement algorithm; rational form; surface fitting; tensor-product submesh algorithm; Application software; Computer graphics; Mathematics; Polynomials; Solid modeling; Spline; Surface fitting; Surface reconstruction; Surface topography; Technological innovation; hierarchical T-mesh; local refinement; submesh splines; surface fitting;
Conference_Titel :
Computer-Aided Design and Computer Graphics, 2009. CAD/Graphics '09. 11th IEEE International Conference on
Conference_Location :
Huangshan
Print_ISBN :
978-1-4244-3699-6
Electronic_ISBN :
978-1-4244-3701-6
DOI :
10.1109/CADCG.2009.5246902
