| 二元分形插值的拟合误差估计 |
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| 引用本文： | 王宏勇. 二元分形插值的拟合误差估计[J]. 数学研究及应用, 2009, 29(3): 551-557. DOI: 10.3770/j.issn:1000-341X.2009.03.021 |
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| 作者姓名： | 王宏勇 |
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| 作者单位： | 南京财经大学应用数学系, 江苏 南京 210003 |
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| 基金项目： | 国家自然科学基金(No.60473034); 江苏省高校自然科学基金(No.07KJD110065). |
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| 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.
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| 关 键 词： | 分形插值函数 误差估计 二元 拟合 安装使用 连续函数 曲面重建 |
| 收稿时间： | 2007-01-18 |
| 修稿时间： | 2007-05-26 |
Error Estimates of Fitting for Bivariate Fractal Interpolation |
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| WANG Hong Yong. Error Estimates of Fitting for Bivariate Fractal Interpolation[J]. Journal of Mathematical Research with Applications, 2009, 29(3): 551-557. DOI: 10.3770/j.issn:1000-341X.2009.03.021 |
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| Authors: | WANG Hong Yong |
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| Affiliation: | Department of Applied Mathematics, Nanjing University of Finance & Economics, Jiangsu 210003, China |
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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. |
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| Keywords: | fractal interpolation fitting error estimate. |
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