| 一类分形插值函数的变差和计盒维数 |
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| 引用本文： | 徐惠,冯志刚.一类分形插值函数的变差和计盒维数[J].安徽工业大学学报,2008,25(4):443-447. |
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| 作者姓名： | 徐惠 冯志刚 |
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| 作者单位： | 江苏大学理学院,江苏镇江212013 |
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| 摘 要： | 讨论一类网格上二元连续分形插值曲面，研究二元连续函数的振幅与变差的性质。对于二元连续分形插值函数，给出了变差的估计，并根据连续函数变差与图像计盒维数之间的关系，得出了分形插值曲面计盒维数的准确值。
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| 关 键 词： | 二元连续函数 变差 分形插值曲面 计盒维数 |
Variation and Minkowski Dimension of a Class of Fractal Interpolation Surface |
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| XU Hui,FENG Zhi-gang.Variation and Minkowski Dimension of a Class of Fractal Interpolation Surface[J].Journal of Anhui University of Technology,2008,25(4):443-447. |
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| Authors: | XU Hui FENG Zhi-gang |
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| Affiliation: | (Faculty of Science, Jiangsu University, Zhenjiang 212013, China) |
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| Abstract: | A class of fractal interpolation surface on the rectangle is discussed. Its oscillation and variation and their properties are studied. For a kind of bivariate continuous function, the value of its variation is estimated. By deducing the relation between the minkowski dimension of the graph of continuous function and its variation, the exact value of the minkowski dimension of the fractal interpolation surface is obtained. |
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| Keywords: | bivariate continuous function variation fractal interpolation surface minkowski dimension |
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