article

Pythagorean hodographs

Authors:

R. T. Farouki,

T. SakkalisAuthors Info & Claims

IBM Journal of Research and Development, Volume 34, Issue 5

Pages 736 - 752

https://doi.org/10.1147/rd.345.0736

Published: 01 September 1990 Publication History

Abstract

No abstract available.

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Cited By

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Hormann KRomani LViscardi A(2024)New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curvesComputer Aided Geometric Design10.1016/j.cagd.2023.102256108:COnline publication date: 1-Feb-2024
https://dl.acm.org/doi/10.1016/j.cagd.2023.102256
Schröcker HŠír Z(2024)Three paths to rational curves with rational arc lengthApplied Mathematics and Computation10.1016/j.amc.2024.128842478:COnline publication date: 1-Oct-2024
https://dl.acm.org/doi/10.1016/j.amc.2024.128842
Schröcker HŠír Z(2023)Partial fraction decomposition for rational Pythagorean hodograph curvesJournal of Computational and Applied Mathematics10.1016/j.cam.2023.115196428:COnline publication date: 15-Aug-2023
https://dl.acm.org/doi/10.1016/j.cam.2023.115196
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Index Terms

Pythagorean hodographs
1. Computing methodologies
  1. Computer graphics
    1. Shape modeling
      1. Parametric curve and surface models
      2. Volumetric models
2. Mathematics of computing
  1. Mathematical analysis
    1. Numerical analysis
      1. Interpolation
  2. Probability and statistics
    1. Probabilistic representations
      1. Nonparametric representations
        Spline models

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Published: 01 September 1990

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Hormann KRomani LViscardi A(2024)New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curvesComputer Aided Geometric Design10.1016/j.cagd.2023.102256108:COnline publication date: 1-Feb-2024
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Schröcker HŠír Z(2024)Three paths to rational curves with rational arc lengthApplied Mathematics and Computation10.1016/j.amc.2024.128842478:COnline publication date: 1-Oct-2024
https://dl.acm.org/doi/10.1016/j.amc.2024.128842
Schröcker HŠír Z(2023)Partial fraction decomposition for rational Pythagorean hodograph curvesJournal of Computational and Applied Mathematics10.1016/j.cam.2023.115196428:COnline publication date: 15-Aug-2023
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Žagar E(2023)Arc length preserving G 2 Hermite interpolation of circular arcsJournal of Computational and Applied Mathematics10.1016/j.cam.2022.115008424:COnline publication date: 1-May-2023
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Farouki R(2023)Partition of the space of planar quintic Pythagorean-hodograph curvesComputer Aided Geometric Design10.1016/j.cagd.2023.102242106:COnline publication date: 1-Oct-2023
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Rochera D(2023)Generalized plane offsets and rational parameterizationsComputer Aided Geometric Design10.1016/j.cagd.2023.102196103:COnline publication date: 1-Jun-2023
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Farouki RPelosi FSampoli M(2023)Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraintsComputer Aided Geometric Design10.1016/j.cagd.2023.102192103:COnline publication date: 1-Jun-2023
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Moon HKim SKwon S(2023)Gauss–Legendre polynomial basis for the shape control of polynomial curvesApplied Mathematics and Computation10.1016/j.amc.2023.127995451:COnline publication date: 15-Aug-2023
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Pottmann H(2023)Curve design with rational Pythagorean-hodograph curvesAdvances in Computational Mathematics10.1007/BF030283653:1-2(147-170)Online publication date: 22-Mar-2023
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Abstract

References

Cited By

Index Terms

Recommendations

Helical polynomial curves and double Pythagorean hodographs I. Quaternion and Hopf map representations

Deformation of plane curves preserving Pythagorean hodographs

Planar G2 transition with a fair Pythagorean hodograph quintic curve

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Planar G² transition with a fair Pythagorean hodograph quintic curve