Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (3): 773-783.

• Articles • Previous Articles     Next Articles

The Study of Fractal Interpolation on Rectangular Area

  

  1. (Department of Civil Engineering, University of Science and Technology of Suzhou, Jiangsu Suzhou 215011)
  • Received:2007-09-10 Revised:2008-12-11 Online:2009-06-25 Published:2009-06-25
  • Supported by:

    国家自然科学基金(40772198)资助

Abstract:

In this paper, the principle of   fractal  interpolation on rectangular area is introduced, interpolation functions for the fractal interpolation surface are discussed, the theorem of uniqueness of iterated function system of fractal interpolation surface is proved, the theorem of fractal  dimension of fractal interpolation surface is derived, and the case that practical data are used to interpolate fractal surface is studied.

Key words: Fractal geometry, Fractal interpolation, Fractal , surface, Fractal dimension

CLC Number: 

  • 28A80
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