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A New Robust Algorithm to Trace Curves

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Reliable Computing

Abstract

We are presenting here a new reliable algorithm to trace curves using interval arithmetic. We give several computable criteria which guarantee the convergence of the correction step of the classical predictor-corrector method. Our method avoids, for instance, to jump from a component of the curve to another one; this kind of mistake typically causes inconsistencies in the topology of intersecting surfaces in geometric modelers.

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Authors and Affiliations

  1. LE2I, Informatique, Université de Bourgogne, BP 47870, 21078, Dijon Cedex, France

    Dominique Faudot & Dominique Michelucci

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  1. Dominique Faudot
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  2. Dominique Michelucci
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Correspondence to Dominique Faudot.

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Faudot, D., Michelucci, D. A New Robust Algorithm to Trace Curves. Reliable Comput 13, 309–324 (2007). https://doi.org/10.1007/s11155-007-9036-7

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  • DOI: https://doi.org/10.1007/s11155-007-9036-7

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