On dimension elevation in quasi extended Chebyshev spaces. (English) Zbl 1144.65013

The present paper is motivated by one of the results on a dimension elevation process involving numbers \(p, q\) and a chosen integer \(n\) with \(p=q \geq 3\) and \(2 \leq n \leq p-1 \), proved by P. Costantini, T. Lyche and C. Manni [Numer. Math. 101, No. 2, 333–354 (2005; Zbl 1085.41002)]. Via blossoms, the author shows that the foregoing result can be extended to the case when \(p, q \) are greater than \(2\) and \(2 \leq n\leq \operatorname{Min}(p,q)\). A similar study of quasi-extended Chebyshev spaces is also made.


65D18 Numerical aspects of computer graphics, image analysis, and computational geometry


Zbl 1085.41002
Full Text: DOI


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