Journal of Hebei University (Natural Science Edition) ›› 2016, Vol. 36 ›› Issue (4): 349-352.DOI: 10.3969/j.issn.1000-1565.2016.04.003

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Variation of recurrent fractal interpolation surface

ZHANG Wenjing,FENG Zhigang   

  1. College of Science, Jiangsu University, Zhenjiang 212013, China
  • Received:2015-06-25 Online:2016-07-25 Published:2016-07-25

Abstract: To calculate the dimension of grap of function, the minimum boxes can be replaced by the variation of fractal interpolation function, and the box-dimension formula can be proved from another angle.Based on the study of the properties of variation of bivariate continuous function,the variation of recurrent fractal interpolation function is estimated on the rectangular domain,which provides a new method to study dimension of recurrent fractal graph.

Key words: bivariate recurrent fractal interpolation function, bivariate continuous function, fractal interpolation surface, bivariate.

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