Pseudo-Differential Operators, Microlocal Analysis and Image Restoration

Pseudo-Differential Operators, Microlocal Analysis and Image Restoration
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伪微分算子、微局部分析和图像恢复

DOI:
10.1007/978-3-0348-7840-1_11
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发表时间:
2004
期刊:
--
影响因子:
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通讯作者:
R. Vaillancourt
R. Vaillancourt
中科院分区:
--
文献类型:
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作者:
R. Ashino;J. S. Desjardins;C. Heil;M. Nagase;R. Vaillancourt

文献摘要

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伪微分算子的符号支持的扇区上的并矢环在傅立叶域中被用来执行回火分布的微局部分析。微局部分析被召回。上述符号由平滑小波框架组成,该框架通过调制平滑锥形函数在傅立叶域中构造。该方法用于定位图像中的奇异线。
Pseudo-differential operators with symbols supported on sectors of dyadic annuli in the Fourier domain are used to perform microlocal analysis of tempered distributions. Microlocal analysis is recalled. The above symbols are made of smooth wavelet frames which are constructed in the Fourier domain by means of modulated smooth tapered functions. The method is used to localize a line of singularities in an image.