Microlocal filtering with wavelet frames multiresolution analysis

使用小波帧多分辨率分析的微局部滤波

• 批准号: 15540170
• 负责人: MORIMOTO Akira
• 金额: $ 2.18万
• 依托单位: Osaka Kyoiku University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2003
• 资助国家: 日本
• 起止时间: 2003 至 2004
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-15540170/
• 关键词: frame; microlocal analysis; wavelet; filter; time frequency analysis; wavelet analysis; image processing; system identification; wavelet; image processing; tight frame; multiresolution_analysis; microlocal filtering; singular value decomposit

It is shown that stationary wavelet transform commutes with time-invariant linear systems for every fixed scale. Using this fact, applications to system identifications are given.Several image processing methods using SVD are investigated and hybrid methods of SVD and wavelets are proposed.Pre-processing design of multiwavelet filters using neural networks for irregularly sampled data is given.

结果表明，平稳小波变换与时不变线性系统在每个固定的尺度上都是互换的。研究了几种奇异值分解图像处理方法，提出了奇异值分解与小波相结合的方法，给出了基于神经网络的多小波滤波器对不规则采样数据的预处理设计。

项目成果

Imanaka, Hamano, Morimoto, Ashino, Kimoto: "Fatigue damage evaluation of adhesively bounded butt joints with a rubber-modified epoxy adhesive"J.Adhesion Sci.Technol.. 17/7. 981-994 (2003)

Imanaka、Hamano、Morimoto、Ashino、Kimoto：“橡胶改性环氧粘合剂粘合对接对接接头的疲劳损伤评估”J.Adhesion Sci.Technol.. 17/7。

IMAGE DENOISING USING SPLINE AND BLOCK SINGULAR VALUE DECOMPOSITION

• 发表时间: 2005
• 作者: Weibin Qi;A. Morimoto;R. Ashino;R´EMI Vaillancourt

Ashino, Desjardins, Heil, Nagase, Vaillancourt: "Smooth tight frame wavelets and image microanalysis in the Fourier domain"Computer Math.Applc.. 45/10-11. 1551-1579 (2003)

Ashino、Desjardins、Heil、Nagase、Vailncourt：“傅立叶域中的平滑紧框架小波和图像微分析”计算机数学应用。45/10-11。

Ashino, Mandai: "Wavelet bases for microlocal filtering and the sampling theorem in L_p(R^n)"Appl.Anal.. 82/1. 1-24 (2003)

Ashino，Mandai：“微局域滤波的小波基和 L_p(R^n) 中的采样定理”Appl.Anal.. 82/1。

Ashino, Morimoto, Nagase, Vaillancourt: "Image Compression with Multiresolution Singular Value Decomposition and Other Methods"Math.Comput.Modelling. (To appear).

Ashino、Morimoto、Nagase、Vailncourt：“使用多分辨率奇异值分解和其他方法进行图像压缩”数学.计算.建模。