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Robust Approximation of Offsets, Bisectors, and Medial Axes of Plane Curves

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Reliable Computing

Abstract

Most methods for computing offsets, bisectors, and medial axes of parametric curves in the plane are based on a local formulation of the distance to a curve. As a consequence, the computed objects may contain spurious parts and components, and have to be trimmed. We approach these problems as global optimization problems, and solve them using interval arithmetic, thus generating robust approximations that need not be trimmed.

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Authors and Affiliations

  1. Faculdade de Informática, Pontifícia Universidade Católica do, Rio Grande do Sul, Av. Ipiranga 6681, 90619-900, Porto Alegre, RS, Brazil

    João Batista Oliveira

  2. IMPA-Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, 22461-320, Rio de Janeiro, RJ, Brazil

    Luiz Henrique De Figueiredo

Authors
  1. João Batista Oliveira
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  2. Luiz Henrique De Figueiredo
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Oliveira, J.B., De Figueiredo, L.H. Robust Approximation of Offsets, Bisectors, and Medial Axes of Plane Curves. Reliable Computing 9, 161–175 (2003). https://doi.org/10.1023/A:1023046502854

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