An identity for spline functions with applications to variation-diminishing spline approximation☆
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This article is published in Journal of Approximation Theory.The article was published on 1970-03-01 and is currently open access. It has received 173 citations till now. The article focuses on the topics: Smoothing spline & Hermite spline.read more
Citations
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Approximation theory and methods
TL;DR: This paper focuses on the approximation problem and existence of best approximations, and on the theory of minimax approximation, which is a very simple and straightforward way of approximating some approximating functions.
Journal ArticleDOI
Discrete B-splines and subdivision techniques in computer-aided geometric design and computer graphics
TL;DR: The new algorithms resulting from the new theory lead to a unification of the display model, the analysis model, and other needed models into a single geometric model from which other necessary models are easily derived.
Splines as linear combinations of B-splines. A Survey
TL;DR: B-splines express the essentially local, but not completely local, character of splines; certain facts aboutsplines take on their most striking form when put into B-spline terms, and many theorems about splines are most easily proved with the aid of B- Splines.
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On Pólya frequency functions IV: The fundamental spline functions and their limits
H. B. Curry,I. J. Schoenberg +1 more
TL;DR: The present paper was written in 1945 and completed by 1947 (see the abstract [3]) but for no good reason has so far not been published as discussed by the authors, but it appears now in a somewhat revised and improved form.