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Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (4): 321-331.

• 论文 • 上一篇    下一篇

THE THEORY OF FRACTAL INTERPOLATED SURFACE AND ITS APPLICATIONS

谢和平, 孙洪泉   

  1. Institute of Fractal Mechanics, Peking Graduate School, China University of Mining and Technology, Beijing 100083.P.R.China
  • 收稿日期:1996-11-22 修回日期:1997-09-01 出版日期:1998-04-18 发布日期:1998-04-18

THE THEORY OF FRACTAL INTERPOLATED SURFACE AND ITS APPLICATIONS

Xie Heping, Sun Hongquan   

  1. Institute of Fractal Mechanics, Peking Graduate School, China University of Mining and Technology, Beijing 100083.P.R.China
  • Received:1996-11-22 Revised:1997-09-01 Online:1998-04-18 Published:1998-04-18

摘要： In this paper the principle of construction of a fractal surface is introduced,interpolation functions for a fractal interpolated surface are discussed,the theorem of the uniqueness of an iterated function system of fractal interpolated surface is proved,the theorem of fractal dimension of fractalinterpolated surface is derived,and the case that practical data are used ic interpolate fractal surface is studied.

关键词: fractal geometry, higher dimension fractals, fractal interpolated surface.fractal dimension

Abstract: In this paper the principle of construction of a fractal surface is introduced,interpolation functions for a fractal interpolated surface are discussed,the theorem of the uniqueness of an iterated function system of fractal interpolated surface is proved,the theorem of fractal dimension of fractalinterpolated surface is derived,and the case that practical data are used ic interpolate fractal surface is studied.

Key words: fractal geometry, higher dimension fractals, fractal interpolated surface.fractal dimension

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