On the derivatives of second and third degree rational Bézier curves

DOI10.1016/S0167-8396(98)00037-5zbMath0914.68197OpenAlexW2071942728MaRDI QIDQ1285600

Thomas Hermann

Publication date: 28 April 1999

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(98)00037-5

zbMATH Keywords

derivativesrational Bézier curves

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (13)

New minimal bounds for the derivatives of rational Bézier paths and rational rectangular Bézier surfaces ⋮ Derivative bound estimations on rational conic Bézier curves ⋮ Bounds on partial derivatives of NURBS surfaces ⋮ Fast evaluation of derivatives of Bézier curves ⋮ Improved derivative bounds of the rational quadratic Bézier curves ⋮ Improved bounds on the magnitude of the derivative of rational Bézier curves ⋮ The proof of Hermann's conjecture. ⋮ Some improvements on the derivative bounds of rational Bézier curves and surfaces ⋮ An improvement on the upper bounds of the magnitudes of derivatives of rational triangular Bézier surfaces ⋮ On the bounds of the derivative of rational Bézier curves ⋮ The bound on derivatives of rational Bézier curves ⋮ On the derivative formula of a rational Bézier curve at a corner ⋮ New bounds on the magnitude of the derivative of rational Bézier curves and surfaces

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