Shifting planes always implicitize a surface of revolution

DOI10.1016/j.cagd.2008.12.005zbMath1205.65074OpenAlexW2048684933MaRDI QIDQ625190

Juan-Miguel Gracia

Publication date: 15 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2008.12.005

zbMATH Keywords

surfaces of revolutionmoving planesimplicitization determinantsinherently improper parametrizations

Mathematics Subject Classification ID

Computational aspects of algebraic surfaces (14Q10) Surfaces in Euclidean and related spaces (53A05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (3)

Ruled Surfaces of Revolution with Moving Axes and Angles ⋮ Implicitizing rational surfaces of revolution using \(\mu \)-bases ⋮ Determining surfaces of revolution from their implicit equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vector elimination: A technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves
• Improperly parametrized rational curves
• On the validity of implicitization by moving quadrics for rational surfaces with no base points
• Inherently improper surface parametric supports
• Implicit representation of parametric curves and surfaces
• Curve implicitization using moving lines

This page was built for publication: Shifting planes always implicitize a surface of revolution