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Quantum Trigonometric BΓ©zier Curves
October 10, 2025 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Γetin DiΕibΓΌyΓΌk
arXiv ID
2510.09336
Category
math.CA
Cross-listed
cs.GR,
math.NA
Citations
0
Venue
arXiv.org
Last Checked
3 months ago
Abstract
In order to construct quantum trigonometric BΓ©zier 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 BΓ©zier curves. We also showed that quantum trigonometric BΓ©zier curves can be evaluated by two different recursive evaluation algorithms. Finally, we have defined rational counterpart of quantum trigonometric BΓ©zier curves and show that the rational quantum trigonometric BΓ©zier curves posses nice shape preserving properties.
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