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Approximate Implicitization of Parametric Curves Using Cubic Algebraic Splines

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  • Xiaolei Zhang
  • Jinming Wu

Abstract

This paper presents an algorithm to solve the approximate implicitization of planar parametric curves using cubic algebraic splines. It applies piecewise cubic algebraic curves to give a global continuity approximation to planar parametric curves. Approximation error on approximate implicitization of rational curves is given. Several examples are provided to prove that the proposed method is flexible and efficient.

Suggested Citation

  • Xiaolei Zhang & Jinming Wu, 2009. "Approximate Implicitization of Parametric Curves Using Cubic Algebraic Splines," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-12, November.
    • Handle: RePEc:hin:jnlmpe:327457
    DOI: 10.1155/2009/327457
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