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Determining Knots by Minimizing Energy
  • 时间:0
  • 分类:O3[理学—力学]
  • 作者机构:[1]Department of Computer Science and Technology, Shandong Economic University, Jinan 250014, P.R. China, [2]School of Computer Science and Technology, Shandong University, Jinan 250061, P.R. China, [3]Department of Computer Science, University of Kentucky, Lexington, KY 40506, U.S.A.
  • 相关基金:A preliminary version of this paper appeared in Proc. the 1st Korea-China Joint Conference on Geometric and Visual Computing. Supported by the National Natural Science Foundation of China (Grant Nos. 60403036, 60573114).
  • 相关项目:多精度多层次的图像正交变换快速算法和并行处理的研究
中文摘要:

为决定构造多项式曲线的结被介绍的一个新方法。在每个数据点,递给三连续的点的一条二次曲线被构造。为构造二次曲线的结被最小化内部种类精力决定,它能被认为是角度的功能。角度的函数与二个术语作为一个泰勒系列被扩展,然后,在三个连续的点之间的二结间隔被线性表示定义。在二个连续的点之间,有二结间隔,;二结间隔的联合被用来定义最后的结间隔。有几存在方法的新方法的比较被包括。

英文摘要:

A new method for determining knots to construct polynomial curves is presented. At each data point, a quadric curve which passes three consecutive points is constructed. The knots for constructing the quadric curve are determined by minimizing the internal strain energy, which can be regarded as a function of the angle. The function of the angle is expanded as a Taylor series with two terms, then the two knot intervals between the three consecutive points are defined by linear expression. Between the two consecutive points, there are two knot intervals, and the combination of the two knot intervals is used to define the final knot interval. A comparison of the new method with several existing methods is included.

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