| Error Estimates of Fitting for Bivariate Fractal Interpolation |
| Received:January 18, 2007 Revised:May 26, 2007 |
| Key Words:
fractal interpolation fitting error estimate.
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| Fund Project:the National Natural Science Foundation of China (No.60473034); the Natural Science Foundation of Jiangsu Provincial Colleges and Universities (No.07KJD110065). |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.03.021 |
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