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Low-harmonic rational Bézier curves for trajectory generation of high-speed machinery

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Publication:1392045
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DOI10.1016/S0167-8396(96)00032-5zbMath0906.68161OpenAlexW1989519659MaRDI QIDQ1392045

D. Massart

Publication date: 23 July 1998

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(96)00032-5


zbMATH Keywords

vibrationsrational Bézier curvestrajectory generationDeCasteljau algorithmhigh-speed machinerylow-harmonic trajectories


Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Approximation by other special function classes (41A30)


Related Items

A cyclic basis for closed curve and surface modeling ⋮ Dynamic Evaluation of Free-Form Curves and Surfaces ⋮ Harmonic rational Bézier curves, \(p\)-Bézier curves and trigonometric polynomials



Cites Work

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  • A stable recurrence relation for trigonometric B-splines
  • Single-valued curves in polar coordinates
  • Single-valued spline curves in polar coordinates
  • Formulation and optimization of cubic polynomial joint trajectories for industrial robots
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