Degree formulae for offset curves

DOI10.1016/j.jpaa.2004.08.026zbMath1093.14082OpenAlexW1966858722MaRDI QIDQ1764824

Fernando San Segundo, Juan Rafael Sendra

Publication date: 22 February 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.08.026

zbMATH Keywords

offset curveZariski closureauxiliary curveassociated pointsoffset degree

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Questions of classical algebraic geometry (51N35) Rational and birational maps (14E05) Computational aspects of algebraic curves (14Q05)

Related Items (13)

An algebraic framework for computing the topology of offsets to rational curves ⋮ Algebro-geometric analysis of bisectors of two algebraic plane curves ⋮ The implicit equation of a canal surface ⋮ Approximate parametrization of plane algebraic curves by linear systems of curves ⋮ Good global behavior of offsets to plane algebraic curves ⋮ TOTAL DEGREE FORMULA FOR THE GENERIC OFFSET TO A PARAMETRIC SURFACE ⋮ Local shape of offsets to algebraic curves ⋮ Computation of the singularities of parametric plane curves ⋮ Offset hypersurfaces and persistent homology of algebraic varieties ⋮ An algebraic analysis of conchoids to algebraic curves ⋮ Good local behavior of offsets to rational regular algebraic surfaces ⋮ Partial degree formulae for plane offset curves ⋮ Envelopes and offsets of two algebraic plane curves: exploration of their similarities and differences

Cites Work

• Offset-rational parametric plane curves
• Rational curves and surfaces with rational offsets
• Algebraic properties of plane offset curves
• A Laguerre geometric approach to rational offsets
• Genus formula for generalized offset curves
• Parametric generalized offsets to hypersurfaces
• Medial axis transform and offset curves by Minkowski Pythagorean hodograph curves.
• Algebraic analysis of offsets to hypersurfaces
• Analytic properties of plane offset curves
• Rationality analysis and direct parametrization of generalized offsets to quadrics.
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