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圆域B样条曲线的节点去除

Knot-Removal of Disk B-Spline Curves

  • 摘要: 在圆域算术的基础上,引入了圆域B样条曲线的概念,并讨论了它的一些基本性质.研究了圆域B样条曲线的节点去除问题,即用去除一个节点后的圆域B样条曲线包住原曲线,采用拟线性规划和最佳逼近2种方法,分别给出了该问题的解析解.

     

    Abstract: Based on the disk arithmetic,we proposed disk B-spline curves,and discussed the ir some properties.We also studied the knot-removal problem of the disk B-spline curves,that is,bounding a disk Bspline curve with an one-knot-removed disk B-spline curve.Two methods were proposed to solve the problem,both of the m can get the analytic solution.

     

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