Good local behavior of offsets to rational regular algebraic surfaces

DOI10.1016/j.jsc.2008.04.001zbMath1154.14313OpenAlexW2078418452MaRDI QIDQ999085

Juan Gerardo Alcázar

Publication date: 30 January 2009

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2008.04.001

zbMATH Keywords

offset surfacesoffset shapeoffset topology

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Computational aspects of algebraic surfaces (14Q10)

Related Items (2)

On convolutions of algebraic curves ⋮ Local shape of generalized offsets to algebraic curves

Cites Work

• Offset-rational parametric plane curves
• Rational curves and surfaces with rational offsets
• Algebraic properties of plane offset curves
• Good global behavior of offsets to plane algebraic curves
• Isotopic triangulation of a real algebraic surface
• A Laguerre geometric approach to rational offsets
• Parametric generalized offsets to hypersurfaces
• Algebraic analysis of offsets to hypersurfaces
• Degree formulae for offset curves
• Efficient topology determination of implicitly defined algebraic plane curves.
• Polynomial algorithms in computer algebra
• A delineability-based method for computing critical sets of algebraic surfaces
• Computation of the topology of real algebraic space curves
• Local shape of offsets to algebraic curves
• Analytic properties of plane offset curves
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