Fairness Criteria for Algebraic Curves

Pavel Chalmovianský () and Bert Jüttler ()
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Pavel Chalmovianský: Johannes Kepler University, Special Research Programme SFB F013
Bert Jüttler: Johannes Kepler University, Institute of Applied Geometry

A chapter in Geometric Modelling, 2004, pp 41-51 from Springer

Abstract: Abstract We develop methods for the variational design of algebraic curves. Our approach is based on truly geometric fairness criteria, such as the elastic bending energy. In addition, we take certain feasibility criteria for the algebraic curve segment into account. We describe a computational technique for the variational design of algebraic curves, using an SQP (sequential quadratic programming) — type method for constrained optimization. As demonstrated in this paper, the powerful techniques of variational design can be used not only for parametric representations, but also for curves in implicit form.

Keywords: Variational design; algebraic curves; implicit representation; 65D17; 68U05; 53A04 (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7091-0587-0_4

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DOI: 10.1007/978-3-7091-0587-0_4

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