| 基于微分算子的Eno-haar小波变换及其应用 |
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| 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. |
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| 作者姓名： | 宋锦萍 杨晓艺 侯玉华 |
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| 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 |
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| 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 |
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| 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。
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| 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： | 2003-01-28 |
| 修稿时间： | 2003-01-28 |
The Eno-haar Wavelet Transforms Based on Differential Operators and Its Application |
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| 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. |
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| Authors: | Song Jin-ping Yang Xiao-yi Hou Yu-hua |
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| Affiliation: | College of Mathematics and Information Science, Henan University, Kaifeng 475001, China |
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| 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. |
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| Keywords: | Eno-haar wavelet transforms Differential operators the signal')" >Singularity measuring of
the signal Image compression |
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