Counterexamples to the conjecture of the upper bound of the derivative of a rational Bézier curve

2025/10/20 by Shi, Mao
#65D17 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2510.17300

Abstract

In this paper, we present counterexamples to the upper bound of the first-order derivative of rational Bézier curves and further investigate the supremum of derivatives of all orders for such curves.

Citations

• Algorithms for polynomials in Bernstein form

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