Algorithms and Identities for B$\acute{e}$zier curves via Post Quantum Blossom
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2020-04-09 v2
Abstract
In this paper, a new analogue of blossom based on post quantum calculus is introduced. The post quantum blossom has been adapted for developing identities and algorithms for Bernstein bases and Bzier curves. By applying the post quantum blossom, various new identities and formulae expressing the monomials in terms of the post quantun Bernstein basis functions and a post quantun variant of Marsden's identity are investigated. For each post quantum Bzier curves of degree a collection of new, affine invariant, recursive evaluation algorithms are derived.
Keywords
Cite
@article{arxiv.1604.03220,
title = {Algorithms and Identities for B$\acute{e}$zier curves via Post Quantum Blossom},
author = {Alaa Mohammed Obad and Khalid Khan and D. K. Lobiyal and Asif Khan},
journal= {arXiv preprint arXiv:1604.03220},
year = {2020}
}
Comments
13 pages, 4 figures, name of two more authors who contributed in revised form added, slight change in title of the paper