摘要
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.
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.
基金
Foundation item： the National Natural Science Foundation of China （No. 60473034）
the Natural Science Foundation of Jiangsu Provincial Colleges and Universities （No. 07KJD110065）.Acknowledgment The author would like to thank Professor SHA Zhen of Zhejiang University for his help and encouragement.
