Design and Real-Time Implementation of 2-D Orthogonal Transforms with Trend Vanishing Moments for High-Functioning Image Representation

用于高性能图像表示的具有趋势消失矩的二维正交变换的设计和实时实现

• 批准号: 23560443
• 负责人: MURAMATSU Shogo
• 金额: $ 3.41万
• 依托单位: Niigata University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2011
• 资助国家: 日本
• 起止时间: 2011 至 2013
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23560443/
• 关键词: 画像処理; 直交変換; ウェーブレット変換; 冗長変換; 画像復元; 実時間実現; スパース表現; 組込みビジョン; 画像符号化

In this project, 2-D orthogonal transforms with trend vanishing moments were proposed, and then the theoretical analysis, design, implementation and applications were studied. First of all, a property of 2-D signal transforms, trend vanishing moment (TVM), was defined and the relation to the annihilation property for trend surfaces was clarified. Then, the concrete design and implementation methods were proposed for 2-D signal transforms with TVMs and the directional design and real-time implementation were realized. In addition, the significance of the proposed methods was verified through the application to image restoration. The extension to the oversampled case was also investigated.

本课题提出了二维趋势消失矩正交变换，并对其进行了理论分析、设计、实现和应用研究。首先，定义了二维信号变换的一个性质--趋势消失矩（TVM），阐明了它与趋势面湮灭性质的关系。提出了基于TVMs的二维信号变换的具体设计和实现方法，实现了TVMs的定向设计和实时实现。最后通过图像复原的应用验证了所提方法的有效性。还调查了对过采样情况的扩展。

项目成果

指向性重複直交変換

方向重叠正交变换

指向性重複直交変換(DirLOT)ホームページ

定向重叠正交变换 (DirLOT) 主页

Boundary Operation of 2-D Nonseparable Linear-Phase Paraunitary Filter Banks

• DOI: 10.1109/tip.2011.2181527
• 发表时间: 2012-04
• 期刊: IEEE Transactions on Image Processing
• 影响因子: 10.6
• 作者: S. Muramatsu;Tomoya Kobayashi;Minoru Hiki;H. Kikuchi

Image Restoration with Union of Directional Orthonormal DWTs

使用方向正交 DWT 联合进行图像恢复

• 发表时间: 2012
• 作者: Shogo Muramatsu;Natsuki Aizawa;Masahiro Yukawa
• 通讯作者: Masahiro Yukawa

SURE-LET Image Denoising with Multiple Directional LOTs

使用多方向 LOT 进行 SURE-LET 图像去噪

• 发表时间: 2012
• 作者: K. Ogawa;H. Yamada;Y. Kurosaki;Shogo Muramatsu
• 通讯作者: Shogo Muramatsu