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，固定小波变换通勤使用每个固定刻度的时间不变的线性系统。使用此事实，给出了对系统识别的应用。研究了使用SVD的几个图像处理方法，并提出了SVD和小波的混合方法。使用神经网络的多功能滤波器设计用于不规则采样的数据。

项目成果

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

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。

Application of the stationary wavelet transform to system identification

平稳小波变换在系统辨识中的应用

• 发表时间: 2004
• 期刊: Wavelet Analysis and Its Applications, and Active Media Technology 1
• 作者: Akira Morimoto;Ryuichi Ashino;Takeshi Mandai
• 通讯作者: Takeshi Mandai

Curve fitting of irregularly sampled data by multiwavelets neural networks

多小波神经网络对不规则采样数据的曲线拟合

• 发表时间: 2004
• 期刊: Scientific Proceedings of Riga Technical University in series "Computer Science" 46
• 作者: Morimoto A.;Ashino R.;Vaillancourt R.
• 通讯作者: Vaillancourt R.

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。