Dynamical recursive algorithms for Lg-spline interpolation of EHB data
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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.
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论文评审过程:Available online 21 March 2002.
论文官网地址:https://doi.org/10.1016/0096-3003(79)90005-5