Vector Signal Processing and its Applications of Image Coding

矢量信号处理及其在图像编码中的应用

• 批准号: 14550371
• 负责人: IKEHARA Masaaki
• 金额: $ 1.73万
• 依托单位: Keio University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2002
• 资助国家: 日本
• 起止时间: 2002 至 2003
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14550371/
• 关键词: Vector Signal Processing; Multi Wavelet; Image Coding; Signal Extension; マルチウェーブレット

In this article, we proposed a lattice structure and a design for orthogonal and biorthogonal multiwavelets to process vector signals. First we factorize the polyphase matrices of symmetric and anti-Symmetric multifilter bank into elementary low-order building blocks. Second, We transform a tree-structured multiwavelet system into an equivalent scalar filter balk in order to design optimal muitifilter banks, Simulation results show that the proposed orthogonal and biorthogonal multiwavelets have superior performance to the populous multiwavelet SA4 and the (9,7)-tap wavelet.In second year, we presented the smooth signal extension for M-channel paraunitaly filter banks without increasing the total number of signal. First we derive a condition for solving the coefficient expansion problem. Second, we calculate a smooth extended signal under the condition by singular value decomposition. Finally, we design 8 channel 16 tap paraunitary filter bank using lattice structure, and several image coding and extended signal examples are shown to confirm the validity of the proposed approach.

在本文中，我们提出了一种晶格结构和正交和生物三相的多波管设计，以处理向量信号。首先，我们将对称和反对称多滤线库的多相矩阵分为基础低阶构建块。 Second, We transform a tree-structured multiwavelet system into an equivalent scalar filter balk in order to design optimal muitifilter banks, Simulation results show that the proposed orthogonal and biorthogonal multiwavelets have superior performance to the populous multiwavelet SA4 and the (9,7)-tap wavelet.In second year, we presented the smooth signal extension for M-channel paraunitaly filter banks没有增加信号总数。首先，我们得出解决系数扩展问题的条件。其次，我们通过单数值分解在条件下计算出平滑的扩展信号。最后，我们使用晶格结构设计了8频道16 Tap Paraunitary滤波器库，并显示了几个图像编码和扩展信号示例，以确认所提出方法的有效性。

项目成果

Uto, Nakahara, Ikehara: "Orthogonal and Biorthogonal Multiwavelets ; Design and Implementation"IEICE A. Vol.J86-A,No.4. 402-409 (2003)

Uto、Nakahara、Ikehara：“正交和双正交多小波；设计与实现”IEICE A. Vol.J86-A，No.4。

Oka, Uto, Ikehara: "Smooth Signal Extension tor M-channel paraunitary tilterbanks and its application to image coding"2003 IEEE Int.Conf.on Image Processing. Vol.3. 229-232 (2003)

Oka、Uto、Ikehara：“M 通道准单元倾斜组的平滑信号扩展及其在图像编码中的应用”2003 年 IEEE Int.Conf.on 图像处理。

宇戸, 中原, 池原: "直交及び双直交マルチウエーブレットの設計と実現"電子情報通信学会論文誌(A). J86-A, No.4. 402-409 (2003)

Udo、Nakahara、Ikehara：“正交和双正交多小波的设计和实现”电子、信息和通信工程师协会学报 (A)，第 4 期。402-409 (2003)。

Uto, Nakahara, Ikehara: "On lattice structure and design of orthogonal and biorthogonal multifilterbanks"2003 IEEE International Conference on Image Processing. Vol.3. 237-240 (2003)

Uto、Nakahara、Ikehara：“正交和双正交多重滤波器组的晶格结构和设计”2003 年 IEEE 国际图像处理会议。

Oka, Uto, Ikehara: "Smooth signal extension for M-channel paraunitary filterbanks and its application to image coding"2003 IEEE International Conference on Image Processing. Vol.3. 229-232 (2003)

Oka、Uto、Ikehara：“M 通道副滤波器组的平滑信号扩展及其在图像编码中的应用”2003 年 IEEE 国际图像处理会议。