Approximation by interpolating variational splines

被引:17
|
作者
Kouibia, A. [1 ]
Pasadas, M. [1 ]
机构
[1] Univ Granada, Fac Ciencias, Dept Matemat Appllicada, E-18071 Granada, Spain
关键词
variational curve; variational surface; interpolation; spline;
D O I
10.1016/j.cam.2007.02.042
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we present an approximation problem of parametric curves and surfaces from a Lagrange or Hermite data set. In particular, we study an interpolation problem by minimizing some functional on a Sobolev space that produces the new notion of interpolating variational spline. We carefully establish a convergence result. Some specific cases illustrate the generality of this work. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:342 / 349
页数:8
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