Total Positivity of A Kind of Generalized Toric-Bernstein Basis
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-Bézier curve is obtained.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2018
- DOI:
- 10.48550/arXiv.1811.05674
- arXiv:
- arXiv:1811.05674
- Bibcode:
- 2018arXiv181105674Y
- Keywords:
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- Computer Science - Graphics;
- 65D17;
- 15B48;
- 41A15
- E-Print:
- 16 pages