| 反对称提升小波及其在影像分解与重建中的应用 |
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| 引用本文： | 吕文涛,林怡,陈鹰. 反对称提升小波及其在影像分解与重建中的应用[J]. 山东建筑大学学报, 2007, 22(3): 263-267 |
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| 作者姓名： | 吕文涛 林怡 陈鹰 |
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| 作者单位： | 同济大学,测量与国土信息工程系,遥感与空间信息技术研究中心,上海,200092;同济大学,测量与国土信息工程系,遥感与空间信息技术研究中心,上海,200092;同济大学,测量与国土信息工程系,遥感与空间信息技术研究中心,上海,200092 |
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| 摘 要： | 从Gaussian函数出发，根据尺度呈级数变化的特点，导出了反对称提升小波滤波器。该滤波器低通响应关于原点对称，高通响应关于原点反对称，而且截断误差很小，具有近似的紧支撑性和平滑性。并以此为基础，实现了影像的分解与重建算法。
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| 关 键 词： | 小波滤波器 多尺度分析 反对称 分解与重建 |
| 文章编号： | 1673-7644（2007）03-0263-05 |
| 收稿时间： | 2006-11-23 |
| 修稿时间： | 2006-11-23 |
Anti-symmetric lifting wavelet and its use in the decomposition and reconstruction of image |
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| LU Wen-tao,LIN Yi,CHEN Ying. Anti-symmetric lifting wavelet and its use in the decomposition and reconstruction of image[J]. Journal of Shandong Institute of Architecture and Engineering, 2007, 22(3): 263-267 |
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| Authors: | LU Wen-tao LIN Yi CHEN Ying |
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| Affiliation: | Research Center for Remote Sensing Technology and Application, Dept. of Surveying and Geo-informatics, Tongji University, Shanghai 200092, China |
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| Abstract: | In this paper, according to the characteristic that the scale exhibits progressional variety, anti-symmetric lifting wavelet filter is deduced from Gaussian function. The lowpass impulse response of the filter is symmetric at origin, the hignpass response of the filter is anti-symmetrie at origin, and the trtmcation error is very small. They have the characteristics of approximation compact support and smoothness. Also, based on the antisymmetric wavelets, the decomposition and reconstruction of remote sensing image have been achieved. |
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| Keywords: | wavelet filter multiscale analysis anti-symmetric decomposition and reconstruction |
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