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基于微分算子的Eno-haar小波变换及其应用
引用本文:宋锦萍,杨晓艺,侯玉华.基于微分算子的Eno-haar小波变换及其应用[J].电子与信息学报,2004,26(6):940-944.
作者姓名:宋锦萍  杨晓艺  侯玉华
作者单位:河南大学数学与信息科学学院,开封,475001;河南大学数学与信息科学学院,开封,475001;河南大学数学与信息科学学院,开封,475001
基金项目:河南省自然科学基金(2003110004)、河南省高校青年骨干教师基金(G2002016)、河南大学科研基金(xK02069)资助课题
摘    要:该文首先引入微分算子并结合Haar小波的特点,提出了一种遗传性算法,用于2D信号奇异性检测。其次,将该算法与Eno-haar(Essentially non-oscillatory-haar)小波相结合,得到了一种基于微分算子的Eno-haar小波变换算法,并通过仿真实验说明了其在图像压缩中的可行性和有效性。

关 键 词:Eno-haar小波变换  微分算子  信号奇异性检测  图像压缩
文章编号:1009-5896(2004)06-0940-05
收稿时间:2003-1-28
修稿时间:2003年1月28日

The Eno-haar Wavelet Transforms Based on Differential Operators and Its Application
Song Jin-ping,Yang Xiao-yi,Hou Yu-hua.The Eno-haar Wavelet Transforms Based on Differential Operators and Its Application[J].Journal of Electronics & Information Technology,2004,26(6):940-944.
Authors:Song Jin-ping  Yang Xiao-yi  Hou Yu-hua
Affiliation:College of Mathematics and Information Science, Henan University, Kaifeng 475001, China
Abstract:In this paper, the differential operators are introduced firstly. Then based on the characteristics of Haar wavelet transforms and the differential operators, a transmissibility algorithm is proposed and applied to the singularity measuring of 2D signal. Secondly, a new algorithm called the Eno-haar (Essentially non-oscillatory-haar) wavelet transforms algorithm based on the differential operators is presented. And it is proved by experiments that this algorithm is effective and feasible to image compression.
Keywords:Eno-haar wavelet transforms  Differential operators  Singularity measuring of
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  Image compression
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