Approximate Implicitization of Planar Parametric Curves using Quadratic Splines

نویسندگان

  • Xiao-Shan Gao
  • Ming Li
چکیده

A quadratic Bézier spline with G-continuity is given to approximate a planar parametric curve. In its construction, the parametric curve is first divided into several segments. A rational quadratic Bézier curve is then applied to approximate each segment and recursive subdivision for the segment may be used if the approximation error is out of the given range. With this method, we not only keep the shape but also the direction of the parametric curve with simple computation using quadratic curves. High accuracy of the approximation is also achieved with relatively small number of conics.

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تاریخ انتشار 2003