On rational Minkowski Pythagorean hodograph curves
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Publication:631050
DOI10.1016/j.cagd.2010.06.003zbMath1211.51002OpenAlexW2018221612WikidataQ114202374 ScholiaQ114202374MaRDI QIDQ631050
Jiří Kosinka, Miroslav Lávička
Publication date: 22 March 2011
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2010.06.003
Plane and space curves (14H50) Curves in Euclidean and related spaces (53A04) Minkowski geometries in nonlinear incidence geometry (51B20)
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Cites Work
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- \(C^{2}\) Hermite interpolation by Minkowski Pythagorean hodograph curves and medial axis transform approximation
- Self-intersection detection and elimination in freeform curves and surfaces
- Rational curves and surfaces with rational offsets
- Pythagorean-hodograph curves. Algebra and geometry inseparable
- \(C^{1}\) Hermite interpolation by Pythagorean hodograph quintics in Minkowski space
- Rational two-parameter families of spheres and rational offset surfaces
- A Laguerre geometric approach to rational offsets
- An overview of offset curves and surfaces.
- Medial axis transform and offset curves by Minkowski Pythagorean hodograph curves.
- Cubic Pythagorean hodograph spline curves and applications to sweep surface modeling.
- Characterization and construction of helical polynomial space curves.
- Clifford algebra, spin representation, and rational parameterization of curves and surfaces
- Applications of Laguerre geometry in CAGD
- Minkowski Pythagorean hodographs
- Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves
- Pythagorean-hodograph space curves
- Studying cyclides with Laguerre geometry
- \(C^1\) Hermite interpolation using MPH quartic
- \(G^{1}\) Hermite interpolation by Minkowski Pythagorean hodograph cubics
- Analytic properties of plane offset curves
- $C^2$ Hermite interpolation by Pythagorean Hodograph space curves
- Low Degree Euclidean and Minkowski Pythagorean Hodograph Curves
- Mathematics of Surfaces XI
- Pythagorean Triples in Uniquef Factorization Domains
