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，我们提出了一种用于处理矢量信号的正交和双正交多小波的点阵结构和设计。首先，我们将对称和反对称多重滤波器组的多相矩阵分解为基本的低阶构建块。其次，我们将树形结构的多小波系统转化为等效标量滤波器组，以设计最优的多滤波器组。仿真结果表明，所提出的正交和双正交多小波比人口稠密的多小波SA4和(9,7)-多小波具有优越的性能。第二年，我们在不增加信号总数的情况下，提出了M通道拟单位滤波器组的平滑信号扩展。首先我们推导出求解系数展开问题的条件。其次，我们通过奇异值分解来计算该条件下的平滑扩展信号。最后，我们使用点阵结构设计了 8 通道 16 抽头准酉滤波器组，并显示了几个图像编码和扩展信号示例，以证实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。

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 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。

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

Oka、Uto、Ikehara：“M 通道准单元 fiterbank 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。