| Shearlet框架的构造和图像处理 |
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| 引用本文： | 宋丛威,邸继征.Shearlet框架的构造和图像处理[J].计算数学,2011,33(2):199-212. |
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| 作者姓名： | 宋丛威 邸继征 |
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| 作者单位： | 浙江工业大学应用数学系, 杭州 310023 |
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| 摘 要： | 本文指出了频域划分和拓扑群之间的联系,给出了构造shearlet框架的一般方法,并具体地构造出了-个衰减性良好的shearlet函数.在数值计算方面,本文提出了框架系数的计算方法和基于此方法的图像重构算法.最后的数值实验说明本文构造的shearlet在图像重构方面表现良好.
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| 关 键 词： | Shearlet框架 仿射系统 拓扑群 框架理论 |
| 收稿时间： | 2010-04-26; |
THE CONSTRUCTURE OF SHEARLET FRAME AND IMAGE PROCESSING |
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| Song Congwei,Di Jizheng.THE CONSTRUCTURE OF SHEARLET FRAME AND IMAGE PROCESSING[J].Mathematica Numerica Sinica,2011,33(2):199-212. |
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| Authors: | Song Congwei Di Jizheng |
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| Institution: | Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China |
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| Abstract: | The paper points out the relationship between the partition of frequence-domain and topological group, proposes a general method to construct the shearlet freme, and construct a shearlet function with fine attenuating property, concretely. On numerical calculation, this paper raises a method claculating the coefficents and an algorithm of image reconstruction based on it. Finally, the numerical experiment illustrates the shearlet constructed in this paper makes good performance in the aspect of image reconstruction. |
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| Keywords: | Shearlet Frame Affine System Topological Group Frame theory |
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