Title :
On interpolation and approximation by bivariate quintic splines with boundary conditions
Author :
Liu, HuanWen ; Yu, Jinhong
Author_Institution :
Fac. of Math. & Comput. Sci., Guangxi Univ. for Nat., Nanning, China
Abstract :
In this paper, a class of interpolation and approximation on type-2 triangulations by bivariate quintic splines with boundary conditions is discussed. The existence and uniqueness of interpolation problem is proved and the optimal approximation order is obtained.
Keywords :
approximation theory; interpolation; splines (mathematics); approximation theory; bivariate quintic spline; boundary condition; interpolation; optimal approximation order; type-2 triangulation; Application software; Boundary conditions; Computer applications; Computer science; Hydrogen; Interpolation; Mathematics; 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.2009.5246890
