Branching blend of natural quadrics based on surfaces with rational offsets

DOI10.1016/j.cagd.2007.11.005zbMath1172.65335OpenAlexW1965213115MaRDI QIDQ735476

Rimvydas Krasauskas

Publication date: 22 October 2009

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2007.11.005

zbMATH Keywords

Dupin cyclidesnatural quadricsrational offsetPN surface

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Constructive \(G^1\) connection of multiple freeform pipes in arbitrary poses ⋮ Surfaces with Pythagorean normals along rational curves ⋮ Rational Pythagorean-hodograph space curves ⋮ Rational generalized offsets of rational surfaces ⋮ Rational Offset Surfaces and their Modeling Applications

Cites Work

• Rational curves and surfaces with rational offsets
• Cyclides in computer aided geometric design
• On cyclides in geometric modeling
• Minimal rational parametrizations of canal surfaces
• Blending two cones with Dupin cyclides
• Computing rational parametrizations of canal surfaces
• Applications of Laguerre geometry in CAGD
• Hermite interpolation by piecewise polynomial surfaces with rational offsets
• Classification of pairs of natural quadrics from the point of view of Laguerre geometry
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