2维加窗全相位图像滤波模板的设计

黄翔东; 王兆华; 李文元

doi:10.11834/jig.200606136

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2维加窗全相位图像滤波模板的设计
Design of 2D All-phase Image Filtering Template with Window
2006年11卷第6期页码：811
纸质出版：2006
DOI： 10.11834/jig.200606136
稿件说明：

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黄翔东, 王兆华, 李文元. 2维加窗全相位图像滤波模板的设计[J]. 中国图象图形学报, 2006,11(6):811. DOI： 10.11834/jig.200606136.

Design of 2D All-phase Image Filtering Template with Window[J]. Journal of Image and Graphics, 2006, 11(6): 811. DOI： 10.11834/jig.200606136.

摘要

为克服常用滤波模板的缺陷

消除传统图像滤波中存在的振铃现象和方块效应

提出了任意正交变换下的2维加窗全相位滤波算法.在严格证明任意正交变换下的2维全相位模板的计算通式基础上

进一步推导出傅里叶变换下的加窗全相位模板的简化公式.通过对亚奈图像的恢复实验证明：相比于反傅氏变换法生成的模板

用全相位DFT（discrete Fourier transform）模板恢复出的图像PSNR（峰值信噪比）值要高出7dB以上

且消除了振铃现象.通过实验还证明

用全相位DCT（discrete cosine transform）模板滤波可完全消除传统分块滤波中的方块效应.

Abstract

To overcome commonly-used filtering template's drawback and remove the ringing artifact& block effect in conventional image filtering

this paper presents 2D all-phase window filtering under arbitrary orthogonal transform.Based on the general calculating formula of 2D all-phase template under arbitrary orthogonal transform

the concise formula of all-phase template with window under DFT is deduced.The restoration experiment on the sub-sampled image proves that: compared with the template constructed by IDFT

the PSNR of the image restored by all kinds of all-phase template is above 7dB higher and ringing artifact can be eliminated.Another experiment shows that block effect in conventional block filtering can be completely removed by employing 2D all-phase DCT template.