Role of moving planes and moving spheres following Dupin cyclides

DOI10.1016/j.cagd.2014.02.006zbMath1295.65014OpenAlexW2087676244MaRDI QIDQ396189

Xiaohong Jia

Publication date: 8 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2014.02.006

zbMATH Keywords

inversion formulamoving plane\(\mu\)-basisDupin cyclidemoving sphereSyzygy

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (10)

Algorithms for computing strong \(\mu\)-bases for rational tensor product surfaces ⋮ Strong $\mu$-Bases for Rational Tensor Product Surfaces and Extraneous Factors Associated to Bad Base Points and Anomalies at Infinity ⋮ Computing \(\mu\)-bases from algebraic ruled surfaces ⋮ Syzygies for translational surfaces ⋮ Using \(\mu \)-bases to reduce the degree in the computation of projective equivalences between rational curves in \(n\)-space ⋮ Survey on the theory and applications of \(\mu\)-bases for rational curves and surfaces ⋮ Symmetries of canal surfaces and Dupin cyclides ⋮ \(\mu\)-bases for rational canal surfaces ⋮ A generalization of the spherical inversion ⋮ Implicitizing rational surfaces without base points by moving planes and moving quadrics

Cites Work

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• The \(\mu\)-basis of a rational ruled surface

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