Good global behavior of offsets to plane algebraic curves
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Publication:931141
DOI10.1016/j.jsc.2008.01.003zbMath1138.14303OpenAlexW2070076125MaRDI QIDQ931141
Publication date: 25 June 2008
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jsc.2008.01.003
Symbolic computation and algebraic computation (68W30) Plane and space curves (14H50) Computational aspects of algebraic curves (14Q05)
Related Items (7)
An algebraic framework for computing the topology of offsets to rational curves ⋮ The square-freeness of the offset equation to a rational planar curve, computed via resultants ⋮ Projective and affine symmetries and equivalences of rational curves in arbitrary dimension ⋮ Envelope computation in the plane by approximate implicitization ⋮ On convolutions of algebraic curves ⋮ Good local behavior of offsets to rational regular algebraic surfaces ⋮ Local shape of generalized offsets to algebraic curves
Cites Work
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- Offset-rational parametric plane curves
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- Degree formulae for offset curves
- Efficient topology determination of implicitly defined algebraic plane curves.
- A delineability-based method for computing critical sets of algebraic surfaces
- Local shape of offsets to algebraic curves
- Curvature formulas for implicit curves and surfaces
- Analytic properties of plane offset curves
- Rationality analysis and direct parametrization of generalized offsets to quadrics.
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