Dynamical recursive algorithms for Lg-spline interpolation of EHB data |
| |
Authors: | Gursharan S Sidhu Howard L Weinert |
| |
Institution: | Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México. Apdo. Postal 20-726 México 20, D.F., Mexico México;Department of Electrical Engineering Barton Hall The Johns Hopkins University Baltimore, Maryland 21218USA |
| |
Abstract: | Lg-splines find application in many areas of mathematics, physics, and engineering. Especially in the last, there is need for recursive algorithms suitable for real-time application. In this paper we investigate a dynamical structure of the Hilbert space underlying the spline interpolation problem. We use these insights to develop a recursive algorithm for computing Lg-splines interpolating extended Hermite- Birkhoff data. We also investigate the relationship of our algorithm to a basic theorem due to Jerome and Schumaker regarding the smoothness properties of such splines and to algorithms based on their theorem. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|