Approximation by interpolating variational splines
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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.
论文关键词:65D05,65D07,65D10,65D17,Variational curve,Variational surface,Interpolation,Spline
论文评审过程:Received 29 September 2006, Revised 4 December 2006, Available online 15 March 2007.
论文官网地址:https://doi.org/10.1016/j.cam.2007.02.042