Time-Varying Filter Banks and Their Applications

时变滤波器组及其应用

• 批准号: 15560344
• 负责人: TANAKA Toshihisa
• 金额: $ 2.24万
• 依托单位: National University Corporation Tokyo University of Agriculture and Technology (2004-2005)The Institute of Physical and Chemical Research (2003)
• 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 2005
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-15560344/
• 关键词: image; signal; filter; coding; convexity; フィルタバンク; 雑音; 雑音除去; フーリエ変換; 画像符号化; 凸射影法

A novel class of time-varying subband transforms and its application in image coding are introduced. We construct the framework in which an analysis subband transform is chosen from a given set of analysis transforms and perfect reconstruction is achieved. To this end, we suggest the reconstruction method from the transformed coefficients by applying the theory of convex projections (POCS). We introduce convex sets for perfect reconstruction from the transformed vector. We further propose other convex sets which assure smoothness of plane regions for image coding applications. We show several image coding examples. The proposed coding method is an extension of conventional one with multiple block-based transforms. At each time instance (block), the transform to be applied is chosen from a given set of orthogonal subband transforms according to a certain criterion. Experimental results show that the use of multiple subband transforms leads to the improvement of coding performance compared to the use of single transform even though there exists side information.

介绍了一类新的时变子带变换及其在图像编码中的应用。我们构建的框架中，一个分析子带变换是从一组给定的分析变换和完美的重建被选中。为此，我们建议的重建方法从变换系数应用凸投影理论（POCS）。我们引入凸集完美的重建从变换后的向量。我们进一步提出了其他凸集，保证平滑的平面区域的图像编码应用。我们展示了几个图像编码的例子。所提出的编码方法是一个传统的扩展与多个基于块的变换。在每个时间实例（块）处，根据某个标准从给定的正交子带变换集合中选择要应用的变换。实验结果表明，即使存在边信息，多个子带变换的使用导致的编码性能的改善相比，使用单一的变换。

项目成果

T.Tanaka, T.Saito, Y.Yamashita: "Projection-based time-varying subband image coding"Proc.of 2003 IEEE International Conference on Image Processing. III. 201-204 (2003)

T.Tanaka、T.Saito、Y.Yamashita：“基于投影的时变子带图像编码”Proc.of 2003 IEEE 国际图像处理会议。

Noise reduction of images with multiple subband transforms

通过多个子带变换对图像进行降噪

• 发表时间: 2004
• 期刊: Proc.of 2004 IEEE International Conference on Image Processing(ICIP 2004) vol.II
• 作者: T.Tanaka;L.Duval
• 通讯作者: L.Duval

A direct design of oversampled perfect reconstruction FIR filter banks of 50%-overlapping filters

A%20direct%20design%20of%20oversampled%20perfect%20reconstruction%20FIR%20filter%20banks%20of%2050%-overlapping%20filters

• 期刊: IEEE Transaction on Signal Processing (採録決定)
• 作者: T.Tanaka;T.Saito;Y.Yamashita;Toshihisa Tanaka
• 通讯作者: Toshihisa Tanaka

Optimal design for synthesis filters of oversampled uniform perfect reconstruction filter banks with 50% overlapping

最佳%20design%20for%20synthesis%20filters%20of%20oversampled%20uniform%20perfect%20reconstruction%20filter%20banks%20with%2050%%20overlapping

• 发表时间: 2005
• 期刊: Proc.of 2005 IEEE International Conference on Image Processing 1
• 作者: Pao Sriprasertsuk;関 亜紀子;亀山 渉;木下 信幸;井上 竜生;中西 康浩;Toshihisa Tanaka
• 通讯作者: Toshihisa Tanaka

A direct design framework for a class of oversampled perfect reconstruction filter banks

一类过采样完美重构滤波器组的直接设计框架

• 发表时间: 2004
• 期刊: Proc.of International Symposium on Communications and Information Technologies 2004(ISCIT 2004) 29AM2F-3(CD-ROM)
• 作者: T.Tanaka;D.P.Mandic
• 通讯作者: D.P.Mandic