Fast evaluation of derivatives of Bézier curves

DOI10.1016/J.CAGD.2024.102277arXiv2305.18874MaRDI QIDQ6118370

Paweł Woźny, Filip Chudy

Publication date: 21 March 2024

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.18874

zbMATH Keywords

Bernstein polynomialsgeometric algorithmsderivativesde Casteljau algorithmpolynomial and rational Bézier curves

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• The Bernstein polynomial basis: a centennial retrospective
• Derivatives of rational Bézier curves
• On the derivatives of second and third degree rational Bézier curves
• De Casteljau's autobiography: my time at Citroën
• On de Casteljau's algorithm
• New shape control tools for rational Bézier curve design
• Construction and Evaluation of Pythagorean Hodograph Curves in Exponential-Polynomial Spaces

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