Construction of Regularized Parametric Projection Filters

正则化参数投影滤波器的构造

• 批准号: 13680381
• 负责人: MIYAKOSHI Masaaki
• 金额: $ 2.18万
• 依托单位: HOKKAIDO UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2001
• 资助国家: 日本
• 起止时间: 2001 至 2002
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13680381/
• 关键词: Image restoration; Regularizations; Projection filters; Choice of parameters; Parametric projection filter-families

Functional Analysis-Theoretical developments of Image Restoration Problems carried on, and many filter-families such as Projection Filter- and Parametric Projection Filter-families were proposed. In practice, since the fidelity of restored images to original images depends on the stability of used restoration filters, it is very important to strengthen their robustness.The study is to introduce a new filter-family that is robust against the perturbation of degraded processes for the parametric projection filter-family with less calculations and high fidelity. In the two-years term of project, we proposed the following three restoration filter-families and confirmed their effectiveness by numerical simulations :Regularized Parametric Projection Filter-Family, M-N-Norm Parametric Projection Filter-Family, and Signal Adaptive Parametric Projection Filter-Family.Moreover, we introduced a criterion to choose perturbation, parametric and regularized parameters. The criterion makes us possible to choose the optimal, parameter of Parametric Projection Filter-family in a sense, and it results in the higher fidelity of restored images.

泛函分析-图像恢复问题的理论发展进行了，并提出了许多滤波器族，如投影滤波器族和参数投影滤波器族。在实际应用中，由于复原图像对原图像的保真度取决于所用复原滤波器的稳定性，因此增强其鲁棒性是非常重要的，本文针对计算量小、保真度高的参数投影滤波器族，提出了一种新的对退化过程扰动具有鲁棒性的滤波器族。在为期两年的项目中，我们提出了正则化参数投影滤波器族、M-N范数参数投影滤波器族和信号自适应参数投影滤波器族，并通过数值仿真验证了它们的有效性，同时还提出了扰动、参数和正则化参数的选择准则。该准则在一定程度上使参数投影滤波器族的参数选择成为可能，从而使复原图像具有更高的保真度。

项目成果

A.Tanaka: "Image Restoration by the Family of Signal Adaptive Parametric Projection Filters"Electronics and Communication in Japan, Part 3. Vol.86 No.3. 77-86 (2003)

A.Tanaka：“信号自适应参数投影滤波器系列的图像恢复”日本电子与通信，第 3 部分。第 86 卷第 3 期。

A.Tanaka: "Choosing the Parameter of Regularized MP-Inverses by Modified SIC in Image Restoration Problems"International Journal of Computing Anticipatory Systems. Vol.12. 166-170 (2002)

A.Tanaka：“在图像恢复问题中通过改进的 SIC 选择正则化 MP 逆的参数”国际计算预期系统杂志。

A.Tanaka: "Image Restoration by the Family of M-N-Norm Parametric Projection Filters"Electronics and Communications in Japan, Part 3. Vol.85 No.11. 9-17 (2002)

A.Tanaka：“M-N-范数参数投影滤波器系列的图像恢复”日本电子与通信，第 3 部分。第 85 卷第 11 期。

田中 章: "線形最適画像復元フィルタに関する一考察"電子情報通信学会 第16回ディジタル信号処理シンポジウム 講演論文集. 53-58 (2001)

Akira Tanaka：“线性最佳图像恢复滤波器的研究”IEICE 第 16 届数字信号处理研讨会论文集 53-58 (2001)。

A.Tanaka: "Choosing the Parameter of Regularized MP-Inverses by Modified SIC in Image Restoration Problems"International of Computing Anticipatory Systems. Vol.12(in press). 166-170 (2002)

A.Tanaka：“在图像恢复问题中通过改进的 SIC 选择正则化 MP 逆的参数”国际计算预期系统。