Approximate Implicitization of Parametric Curves Using Cubic Algebraic Splines | Zendy

Xiaolei Zhang | Zendy; Jinming Wu | Zendy

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Approximate Implicitization of Parametric Curves Using Cubic Algebraic Splines

Author(s) -

Xiaolei Zhang,

Jinming Wu

Publication year - 2009

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2009/327457

Subject(s) - piecewise , parametric equation , mathematics , parametric statistics , algebraic number , algebraic curve , planar , parametric surface , curve fitting , algorithm , geometry , pure mathematics , mathematical analysis , computer science , statistics , computer graphics (images)

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 G2 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

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