Approximate Implicitization of Parametric Curves Using Cubic Algebraic Splines

Xiaolei Zhang and Jinming Wu

Mathematical Problems in Engineering, 2009, vol. 2009, 1-12

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:327457

DOI: 10.1155/2009/327457

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