Title :
Local Lagrange Interpolation by Bivariate Cubic Splines with Boundary Conditions on Nonuniform Type-2 Triangulations
Author :
Yu, Jinhong ; Liu, Huan-Wen
Author_Institution :
Fac. of Math. & Comput. Sci., Guangxi Univ. for Nat., Nanning, China
Abstract :
In this paper, by using the coloring method, the Bezier-net method and the technique of minimal determining set, a kind of Lagrange interpolation schemes by bivariate C1 cubic splines with boundary conditions on nonuniform type-2 triangulations is constructed and a locally supported dual basis of bivariate C1 cubic splines space with boundary conditions on nonuniform type-2 triangulations is given.
Keywords :
computational geometry; interpolation; splines (mathematics); Bezier-net method; bivariate cubic splines; boundary condition; local Lagrange interpolation; nonuniform type-2 triangulation; Boundary conditions; Computer science; Interpolation; Lagrangian functions; Mathematics; Polynomials; Lagrange interpolation schemes; Lagrange minimal determing set; bivariate cubic splines; nonuniform type-2 triangulations;
Conference_Titel :
Computational Sciences and Optimization, 2009. CSO 2009. International Joint Conference on
Conference_Location :
Sanya, Hainan
Print_ISBN :
978-0-7695-3605-7
DOI :
10.1109/CSO.2009.440
