Total Positivity of A Kind of Generalized Toric-Bernstein Basis
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2019-03-26 v2
Abstract
The normalized totally positive bases are widely used in many fields.Based on the generalized Vandermonde determinant, the normalized total positivity of a kind of generalized toric-Bernstein basis is proved, which is defined on a set of real points. By this result, the progressive iterative approximation property of the generalized toric-B\'{e}zier curve is obtained.
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Cite
@article{arxiv.1811.05674,
title = {Total Positivity of A Kind of Generalized Toric-Bernstein Basis},
author = {Ying-Ying Yu and Hui Ma and Chun-Gang Zhu},
journal= {arXiv preprint arXiv:1811.05674},
year = {2019}
}
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16 pages