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一种改进的散乱数据曲面拟合算法 被引量:6

Improved Algorithm of Surface Fitting for the Scattered Data
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摘要 提出一种改进的散乱数据曲面拟合算法,利用自适应区域分解法和QR分解法,提高了算法的稳定性,采用双三次Bezier曲面插值拟合散乱数据点,解决了拟合曲面的光滑性问题,最后给出了算法实例和结果分析. An improved algorithm of surface fitting for the scattered data is introduced. The adaptive domain decomposition method and QR decomposition method are used to improve the stability. The bicubic Bezier patches interpolation is used to deal with the smoothness of the surface. In the end, the algorithm implementation and the results analysis are given.
作者 程东旭 杨艳
机构地区 中原工学院
出处 《中原工学院学报》 CAS 2008年第3期65-68,共4页 Journal of Zhongyuan University of Technology
关键词 散乱数据 拟合 插值 最小二乘法 scattered data fitting interpolation least square method
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参考文献4

  • 1Shepard D A. Two Dimensional Interpolation Function for Irregularly Spaced Data[C]//. Proceeding of ACM 23rd National Coference. New York : Association for Computing Machinery New York, 1968 : 517-524.
  • 2Nielson G M. Minimun Norm Interpolation in Triangles[J]. SIAM Journal on Numer Anal, 1980,17 (1) : 44- 62.
  • 3Hardy R L. Multiquadric Equations of Topography and Other Irregular Surface[J]. Journal of Geophysics Research, 1971,78 (3) : 1905-1915.
  • 4Lee S, Wolberg G, Shin S Y. Scattered Data Interpolation with Multilevel B. splines [J]. IEEE Transactional on Visualization and Computer Graghics, 1997, 3(3):228-244.

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