Mapping rational rotation-minimizing frames from polynomial curves on to rational curves

Author:

Farouki Rida T.,Šír Zbyněk

Funder

Czech Science Foundation

Publisher

Elsevier BV

Subject

Computer Graphics and Computer-Aided Design,Aerospace Engineering,Automotive Engineering,Modelling and Simulation

Reference32 articles.

1. Construction of rational curves with rational rotation–minimizing frames via Möbius transformations;Bartoň,2010

2. A characterization of quintic helices;Beltran;J. Comput. Appl. Math.,2007

3. There is more than one way to frame a curve;Bishop;Am. Math. Mon.,1975

4. On new types of rational rotation–minimizing frame space curves;Cheng;J. Symb. Comput.,2016

5. Euler–Rodrigues frames on spatial Pythagorean–hodograph curves;Choi;Comput. Aided Geom. Des.,2002

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1. Three paths to rational curves with rational arc length;Applied Mathematics and Computation;2024-10

2. Optimal interpolation with spatial rational Pythagorean hodograph curves;Applied Mathematics and Computation;2023-12

3. Partial fraction decomposition for rational Pythagorean hodograph curves;Journal of Computational and Applied Mathematics;2023-08

4. Rational framing motions and spatial rational Pythagorean hodograph curves;Computer Aided Geometric Design;2022-11

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