B-spline Pythagorean hodograph curves in Clifford algebras
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Publication:2111971
DOI10.1007/s00006-022-01255-7OpenAlexW4313513735MaRDI QIDQ2111971
Miroslav Lávička, Kryštof Kadlec, Michal Bizzarri, Zbyněk Šír
Publication date: 17 January 2023
Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00006-022-01255-7
Numerical computation using splines (65D07) Clifford algebras, spinors (15A66) Curves in Euclidean and related spaces (53A04) Non-Euclidean differential geometry (53A35) Applications of Clifford algebras to physics, etc. (15A67)
Cites Work
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- On rational Minkowski Pythagorean hodograph curves
- An algebraic approach to curves and surfaces on the sphere and on other quadrics
- Some identities for product and degree raising of splines
- 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
- Minkowski Pythagorean hodographs
- Planar Pythagorean-hodograph B-spline curves
- Pythagorean-hodograph space curves
- Interpolation of Hermite data by clamped Minkowski Pythagorean hodograph B-spline curves
- \(C^d\) Hermite interpolations with spatial Pythagorean hodograph B-splines
- Spatial Pythagorean-hodograph B-spline curves and 3D point data interpolation
- Construction of Minkowski Pythagorean hodograph B-spline curves
- New developments in theory, algorithms, and applications for Pythagorean-hodograph curves
- Low Degree Euclidean and Minkowski Pythagorean Hodograph Curves
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