Analytic properties of plane offset curves
Computer Aided Geometric Design
Algebraic properties of plane offset curves
Computer Aided Geometric Design
Rational curves and surfaces with rational offsets
Computer Aided Geometric Design
Offset-rational parametric plane curves
Computer Aided Geometric Design
Parametric generalized offsets to hypersurfaces
Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
A Laguerre geometric approach to rational offsets
Computer Aided Geometric Design
Algorithms for rational real algebraic curves
Fundamenta Informaticae - Special issue on symbolic computation and artificial intelligence
Polynomial Algorithms in Computer Algebra
Polynomial Algorithms in Computer Algebra
Shape Interrogation for Computer Aided Design and Manufacturing
Shape Interrogation for Computer Aided Design and Manufacturing
Efficient topology determination of implicitly defined algebraic plane curves
Computer Aided Geometric Design
Degree formulae for offset curves
Journal of Pure And Applied Algebra
Local shape of offsets to algebraic curves
Journal of Symbolic Computation
A delineability-based method for computing critical sets of algebraic surfaces
Journal of Symbolic Computation
Good global behavior of offsets to plane algebraic curves
Journal of Symbolic Computation
On convolutions of algebraic curves
Journal of Symbolic Computation
Local shape of generalized offsets to algebraic curves
Journal of Symbolic Computation
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Local information on the shape of a regular surface is provided by the well-known notions in Differential Geometry of elliptic, parabolic and hyperbolic points. Here, we provide algorithms to check that, for a given distance, the offsetting process does not introduce relevant local changes in the shape of a surface, under the hypothesis that the surface is described by means of a rational, regular, real parametrization. Also, we provide algorithms for computing intervals of distances with this nice property.