Design of Multi-dimensional variable Digital Filters and Their Application to Image and Video Processing

多维可变数字滤波器的设计及其在图像视频处理中的应用

• 批准号: 15560314
• 负责人: KAWAMATA Masayuki
• 金额: $ 2.3万
• 依托单位: Tohoku University
• 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 2004
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-15560314/
• 关键词: Digital Filter; Variable Filter; Multi-dimensional Signal Processing; Adaptive Signal Processing; 多次元ディジタル信号処理; 映像修復; 遺伝的アルゴリズム

This project studies design of multi-dimensional digital filters which have high tuning accuracy of amplitude response and their application to image and video processing.1.This project proposes 2-D variable IIR digital filter structures with a small amount of calculations for coefficient update. The proposed realization method uses the 2-D parallel allpass structure derived from the separable denominator 2-D filter as the prototype structure for 2-D variable digital filters. In order to reduce the amount of calculations, all the redundant first-order complex allpass sections are combined by modularization of the variable structure.2.This project proposes frequency transformation for two-dimensional (2-D) digital filters in terms of the state-space equations. In order to derive the 2-D state-space formulation of the frequency transformation, we extend Mullis and Roberts' state-space formulation of one-dimensional frequency transformation to 2-D case. The proposed frequency transformation is very suitable for state-space analysis of the transformed filters since the resultant formulation consists of simple algebraic operations such as matrix addition, multiplication, inverse and so on.3 This project evaluates the theoretical and practical performance of variable frequency properties of multi-dimensional variable digital filters obtained by the above method.4.This project proposes an estimation method of frame displacement for old films using phase-only correlation. For the estimation of the subpixel displacement, the quadratic curve fitting method is proposed. This method is based on approximating the phase-only correlation of two images by a sinc function. Moreover, the method is applied to the frame displacement estimation for old films. It is shown that frame displacement of old films can be estimated accurately and then corrected. Visual inspection confirms that the proposed method can reduce the frame displacement significantly.

本课题研究幅度响应调谐精度高的多维数字滤波器的设计及其在图像和视频处理中的应用。1.本课题提出了系数更新计算量小的二维可变IIR数字滤波器结构。所提出的实现方法使用从可分离分母二维滤波器导出的二维并行全通结构作为二维可变数字滤波器的原型结构。为了减少计算量，所有冗余的一阶复数全通部分都通过可变结构的模块化进行组合。2.本项目提出了二维（2-D）数字滤波器在状态方面的频率变换-空间方程。为了导出频率变换的二维状态空间公式，我们将一维频率变换的状态空间公式扩展到二维情况。所提出的频率变换非常适合变换滤波器的状态空间分析，因为所得公式由简单的代数运算组成，例如矩阵加法、乘法、逆运算等。3 该项目评估了变频特性的理论和实际性能通过上述方法获得的多维可变数字滤波器。4.本项目提出了一种使用纯相位相关的老电影帧位移估计方法。对于亚像素位移的估计，提出了二次曲线拟合方法。该方法基于通过 sinc 函数近似两个图像的仅相位相关性。此外，该方法还应用于老电影的帧位移估计。结果表明，可以准确估计旧电影的帧位移并进行校正。目视检查证实所提出的方法可以显着减少框架位移。

项目成果

State-space formulation of frequency transformation for 2-D digital filters

• DOI: 10.1109/lsp.2004.835469
• 发表时间: 2004-09
• 期刊: IEEE Signal Processing Letters
• 影响因子: 3.9
• 作者: S. Koshita;M. Kawamata

On use of averaging in FxLMS algorithm for single-channel feedforward ANC systems

• DOI: 10.1109/iscas.2003.1205856
• 发表时间: 2003-05
• 期刊: Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03.
• 作者: M. Akhtar;M. Abe;M. Kawamata

Realization of 2-D Variable IIR Digital Filter Structures with a Small Amount of Calculations for Coefficient Update

少量系数更新计算实现二维可变IIR数字滤波器结构

• 发表时间: 2004
• 期刊: Multidimensional Systems and Signal Processing 15
• 作者: Hyuk-Jae Jang

On the Invariance of Second-Order Modes of Continuous-Time Systems under General Frequency Transformation

一般频率变换下连续时间系统二阶模态的不变性

• 发表时间: 2003
• 期刊: Proceedings of IEEE International Symposium on Circuits and Systems 1
• 作者: Hyuk-Jae Jang;Hyuk-Jae Jang;Mizuki Hagiwara;Shunsuke Koshita;阿部 正英;Muhammad Tahir Akhtar;Muhammad Tahir Akhtar;Muhammad Tahir Akhtar;Akhtar M. Tahir;Masayuki Kawamata
• 通讯作者: Masayuki Kawamata

Muhammad Tahir Akhtar: "Feedforward Active Noise Control Systems with Improved Online Secondary-Path Modeling"Proceedings of IEEE International Symposium on Intelligent Signal Processing and Communication Systems. 696-701 (2003)

Muhammad Tahir Akhtar：“具有改进的在线二级路径建模的前馈主动噪声控制系统”IEEE 智能信号处理和通信系统国际研讨会论文集。