Multi-wavelet inverse transform and post filtering algorithm for digital images

doi:10.11772/j.issn.1001-9081.2014.05.1486

Journal of Computer Applications ›› 2014, Vol. 34 ›› Issue (5): 1486-1490.DOI: 10.11772/j.issn.1001-9081.2014.05.1486

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Multi-wavelet inverse transform and post filtering algorithm for digital images

TAN Xiaorong,CHEN Zhaofeng,ZHA Daifeng

School of Electronic Engineering, Jiujiang University, Jiujiang Jiangxi 332005, China

Received:2013-10-29 Revised:2013-12-13 Online:2014-05-01 Published:2014-05-30
Contact: TAN Xiaorong

数字图像多小波逆变换及后置滤波算法

谭小容,陈朝峰,查代奉

九江学院电子工程学院，江西九江 332005

通讯作者: 谭小容
作者简介:谭小容(1976-)，女，重庆垫江人，讲师，硕士，主要研究方向：数字图像小波分析；陈朝峰(1982-)，男，陕西咸阳人，讲师，硕士，主要研究方向：小波分析；查代奉(1971-)，男，江西九江人，教授，博士，主要研究方向：非高斯信号处理、医学图像处理。
基金资助:
国家自然科学基金资助项目;江西省教育厅2011年度科技项目

Abstract

Abstract:

In order to quickly and effectively reduce digital image from multi-wavelet transform domain to space domain and get the reduced image with better visual result, a reduction method including inverse transform and post filtering was proposed. The proposed method decomposed image from space domain to transform domain by pre-filtering and multi-wavelet transform, and then recombined high and low frequency components, finally reduced spatial domain image without interpolation zero. The experimental results show that compared with the original image, the error value of more than 90% pixels of restored image is less than 0.0001.

摘要：

为了使数字图像多小波变换域的数据能够快速和有效地还原到空间域，并使还原后的图像具有很好的视觉效果，提出包括多小波逆变换和后置滤波的多小波还原算法。该方法通过前置滤波和多小波正变换将空域图像变换到多小波域，并对多小波域的低频分量和高频分量按一定规律重新组合，在没有额外内插零的情况下进行逆变换和后置滤波还原出空域图像。实验结果表明，所提算法得到的还原图像与原始图像相比90%以上像素点的误差值小于0.0001。

CLC Number:

TP391.41

TAN Xiaorong CHEN Zhaofeng ZHA Daifeng. Multi-wavelet inverse transform and post filtering algorithm for digital images[J]. Journal of Computer Applications, 2014, 34(5): 1486-1490.

谭小容陈朝峰查代奉. 数字图像多小波逆变换及后置滤波算法[J]. 计算机应用, 2014, 34(5): 1486-1490.

References

［1］YAO M. Digital image processing ［M］. Beijing: China Machine Press, 2006:195-198.(姚敏.数字图像处理［M］.北京:机械工业出版社,2006:195-198.)［2］ZADEH P B, AKBARI A S. Image resolution enhancement using multi-wavelet and cycle-spinning ［C］// Proceedings of the 2012 UKACC International Conference on Control. Piscataway: IEEE Press, 2012:789-792.［3］ZHAO T, WANG Y, REN Y, et al. Approach of image denoising based on discrete multi-wavelet transform ［C］// Proceedings of the 2009 International Workshop on Intelligent Systems and Applications. Piscataway: IEEE Press, 2009:1-4.［4］WANG X. Image de-noising based on multi-wavelet ［C］// Proceedings of the 2009 International Forum on Information Technology and Applications. Piscataway: IEEE Press, 2009:523-525.［5］SHEN S, NING W. A new symmetric extension of the signal at the boundaries for multiwavelet image compression ［C］// Proceedings of the 2002 6th International Conference on Signal Processing. Piscataway: IEEE Press, 2002,1:193-196.［6］LIU W, ZHANG M. Multiple description image coding method based on balanced multiwavelet transformation ［C］// Proceedings of the 2010 3rd International Congress on Image and Signal Processing. Piscataway: IEEE Press, 2010,2:548-522.［7］ZHANG F, ZHOU Y, CHAO J. The realization and application of MALLAT arithmetic ［J］. Automation and Instrumentation, 2004(6):4-5.(张奉军,周燕,曹建国.MALLAT算法快速实现方法及其应用研究［J］.自动化与仪器仪表,2004(6):4-5.)［8］ZHENG X, ZHANG X. An adaptive image interpolation algorithm based on multiwavelet transform ［J］. Journal on Numerical Methods and Computer Applications, 2009,30(3):211-217.(郑雄波,张晓威.一种基于多小波变换的自适应图像插值算法［J］.数值计算与计算机应用,2009,30(3):211-217.)［9］HUANG Z, MA Z. CL multiwavelet image coding ［J］. Journal of Image and Graphics, 2001,6(7):662-668.(黄卓君,马争鸣.CL多小波图像编码［J］.中国图象图形学报,2001,6(7):662-668.)［10］HUANG Z, MA Z. Statistical analysis of multiwavelet image transform ［J］. Journal of Image and Graphics, 2001,6(12):1198-1203.(黄卓君,马争鸣.多小波图像变换的统计分析［J］.中国图象图形学报,2001,6(12):1198-1203.)［11］LIU W, CHEN D. An image coding method based on multiwavelet transform ［J］. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2011,50(5):50-53.(柳薇,陈冬丽.基于多小波变换的图像编码算法研究［J］.中山大学学报:自然科版,2011,50(5):50-53.)［12］NIZAM S, TELATAR Z. Multispecial image fusion based on the multiwavelet and IHS transforms ［C］// Proceedings of the 2012 20th Signal Processing and Communications Applications Conference. Piscataway: IEEE Press, 2012:1-4.［13］REN H, LAN Y, ZHANG Y. Research of multi-focus image fusion based on M-band multi-wavelet transformation ［C］// Proceedings of the 2011 4th International Workshop on Advanced Computational Intelligence. Piscataway: IEEE Press, 2011:395-398.［14］MOHIDEEN S K, PERUMAL S A, KRISHNAN N, et al. Image denoising multi-wavelet and threshold ［C］// Proceedings of the 2008 International Conference on Computing, Communication and Networking. Piscataway: IEEE Press, 2008:1-5.［15］MALLAT S. A wavelet tour of signal processing: the sparse way ［M］. 3rd ed. DAI D, YANG L, translation. Beijing: China Machine Press, 2012:194-199.(MALLAT S.信号处理的小波导引:稀疏方法［M］.3版.戴道清,杨力华,译.北京:机械工业出版社,2012:194-199.)

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Multi-wavelet inverse transform and post filtering algorithm for digital images

数字图像多小波逆变换及后置滤波算法

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