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.

该项目研究的多维数字滤波器的设计设计具有振幅响应的高调谐精度及其在图像和视频处理中的应用。1。该项目提出了2-D变量IIR数字滤波器结构，具有少量计算以进行系数更新。所提出的实现方法使用了从可分离分母2-D滤波器得出的2-D Parallel Allpass结构作为2-D可变数字过滤器的原型结构。为了减少计算量，所有冗余的一阶复合物截面部分都是通过变量结构的模块化来结合的。2。该项目提出了根据状态空间方程的二维（2-D）数字过滤器的频率转换。为了得出频率转换的2-D状态空间公式，我们将Mullis和Roberts对一维频率转换的状态空间公式扩展到2-D情况。提出的频率转换非常适合对变换过滤器的状态空间分析，因为所得的公式由简单的代数操作组成，例如添加矩阵，矩阵，乘法，逆等等。 相关性。为了估计子像素位移，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相关性。此外，该方法应用于旧膜的框架位移估计。结果表明，可以准确估算旧膜的框架位移，然后校正。视觉检查确认所提出的方法可以大大减少框架位移。

项目成果

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

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 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

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

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。