Rational framing motions and spatial rational Pythagorean hodograph curves
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Publication:2100036
DOI10.1016/j.cagd.2022.102160zbMath1504.65054arXiv2111.04600OpenAlexW3213545117MaRDI QIDQ2100036
Hans-Peter Schröcker, Bahar Kalkan, Daniel F. Scharler, Zbyněk Šír
Publication date: 21 November 2022
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.04600
rational curvespherical motiontangent indicatrixEuler-Rodrigues framerational motionmotion polynomial
Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items
Optimal interpolation with spatial rational Pythagorean hodograph curves, Partial fraction decomposition for rational Pythagorean hodograph curves
Cites Work
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- Rational Pythagorean-hodograph space curves
- Rational curves and surfaces with rational offsets
- An algebraic approach to curves and surfaces on the sphere and on other quadrics
- On new types of rational rotation-minimizing frame space curves
- Pythagorean-hodograph curves. Algebra and geometry inseparable
- The conformal map \(z\to z^ 2\) of the hodograph plane
- Clifford algebra, spin representation, and rational parameterization of curves and surfaces
- The rational motion of minimal dual quaternion degree with prescribed trajectory
- \(G^1\) interpolation by rational cubic PH curves in \(\mathbb R^3\)
- Interpolation with spatial rational Pythagorean-hodograph curves of class 4
- Factorization of motion polynomials
- Euler-Rodrigues frames on spatial Pythagorean-hodograph curves.
- Pythagorean-hodograph space curves
- Curve design with rational Pythagorean-hodograph curves
- Construction of rational curves with rational arc lengths by direct integration
- Mapping rational rotation-minimizing frames from polynomial curves on to rational curves
- New developments in theory, algorithms, and applications for Pythagorean-hodograph curves
- Dual representation of spatial rational Pythagorean-hodograph curves
- Geometric Fundamentals of Robotics
- Algebraic Geometry and Kinematics
- Construction of Rational Curves with Rational Rotation-Minimizing Frames via Möbius Transformations
