Linear precision for toric surface patches

DOI10.1007/s10208-009-9052-6zbMath1189.14022arXiv0806.3230OpenAlexW3100817785MaRDI QIDQ2269904

Kristian Ranestad, Hans-Christian Graf von Bothmer, Frank J. Sottile

Publication date: 12 March 2010

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.3230

zbMATH Keywords

geometric modelingCremona transformationBézier patcheslinear precisiontoric patch

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Birational automorphisms, Cremona group and generalizations (14E07) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (5)

Moment maps, strict linear precision, and maximum likelihood degree one ⋮ Algebraic structures in statistical methodology. Abstracts from the workshop held December 4--10, 2022 ⋮ Families of polytopes with rational linear precision in higher dimensions ⋮ Logarithmic Hesse's problem ⋮ Some Geometrical Aspects of Control Points for Toric Patches

Cites Work

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• Minimal rational parametrizations of canal surfaces
• Linear precision for parametric patches
• Toric surface patches
• Computational line geometry
• Polar Cremona transformations.

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