Quantum Trigonometric B\'ezier Curves
Classical Analysis and ODEs
2025-10-13 v1 Graphics
Numerical Analysis
Numerical Analysis
Abstract
In order to construct quantum trigonometric B\'ezier curves with shape parameter, one parameter family of trigonometric Bernstein basis functions are introduced. We study the total positivity of the basis functions to analyze the shape preserving properties of the quantum trigonometric B\'ezier curves. We also showed that quantum trigonometric B\'ezier curves can be evaluated by two different recursive evaluation algorithms. Finally, we have defined rational counterpart of quantum trigonometric B\'ezier curves and show that the rational quantum trigonometric B\'ezier curves posses nice shape preserving properties.
Keywords
Cite
@article{arxiv.2510.09336,
title = {Quantum Trigonometric B\'ezier Curves},
author = {Çetin Dişibüyük},
journal= {arXiv preprint arXiv:2510.09336},
year = {2025}
}