Envelope computation in the plane by approximate implicitization

DOI10.1007/s00200-011-0149-1zbMath1246.65033OpenAlexW1987995072MaRDI QIDQ429759

Tino Schulz, Bert Jüttler

Publication date: 20 June 2012

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-011-0149-1

zbMATH Keywords

algorithmnumerical examplesrational curvesenvelopealgebraic curveapproximate implicitization

Mathematics Subject Classification ID

Spline approximation (41A15) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

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Cites Work

• Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi
• Good global behavior of offsets to plane algebraic curves
• Pythagorean-hodograph curves. Algebra and geometry inseparable
• Partial degree formulae for plane offset curves
• Planar piecewise algebraic curves
• Bergman-Vekua theory in differential form
• Envelopes of moving quadric surfaces
• Residue and implicitization problem for rational surfaces
• A delineability-based method for computing critical sets of algebraic surfaces
• Local shape of offsets to algebraic curves
• SWEPT VOLUMES: FUNDATION, PERSPECTIVES, AND APPLICATIONS
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