Offsetting revolution surfaces

Authors:
Fernando San Segundo;J. Rafael Sendra
Affiliations:
Universidad de Alcalà, Depto. de Matemáticas, Madrid, Spain;Universidad de Alcalà, Depto. de Matemáticas, Madrid, Spain
Venue:
ADG'08 Proceedings of the 7th international conference on Automated deduction in geometry
Year:
2008

Citing 7
Cited 1

Parametric generalized offsets to hypersurfaces

Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
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Curves and surfaces for CAGD: a practical guide
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Shape Interrogation for Computer Aided Design and Manufacturing
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Computer Graphics and Geometric Modelling: Implementation & Algorithms
Degree formulae for offset curves

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Rational Algebraic Curves: A Computer Algebra Approach

Rational Algebraic Curves: A Computer Algebra Approach

Partial degree formulae for plane offset curves

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Abstract

In this paper, first, we provide a resultant-based implicitization method for revolution surfaces, generated by non necessarily rational curves. Secondly, we analyze the offsetting problem for revolution surfaces, proving that the offsetting and the revolution constructions are commutative. Finally, as a consequence of this, the (total and partial) degree formulas for the generic offset to an irreducible plane curve, given in our previous papers, are extended to the case of offsets to surfaces of revolution.