Error Estimates of Fitting for Bivariate Fractal Interpolation
Received:January 18, 2007  Revised:May 26, 2007
Key Words: fractal interpolation   fitting   error estimate.  
Fund Project:the National Natural Science Foundation of China (No.60473034); the Natural Science Foundation of Jiangsu Provincial Colleges and Universities (No.07KJD110065).
Author NameAffiliation
WANG Hong Yong Department of Applied Mathematics, Nanjing University of Finance & Economics, Jiangsu 210003, China 
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      A given bivariate continuous function is fitted by using a bivariate fractal interpolation function, and the error of fitting is studied in this paper. The results of error estimates are obtained in two metric cases. This provides a theoretical basis for the algorithms of fractal surface reconstruction.
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