| 一维小波变换刻画和检测一类图像函数边缘曲线的奇性 |
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| 引用本文： | 渠刚荣,许琼.一维小波变换刻画和检测一类图像函数边缘曲线的奇性[J].北京交通大学学报(自然科学版),2006,30(6):81-84. |
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| 作者姓名： | 渠刚荣 许琼 |
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| 作者单位： | 北京交通大学,理学院,北京,100044;大连市经济贸易高级中学,大连,116024 |
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| 摘 要： | 对于图像中有边缘曲线,沿着该曲线函数f是Lipschitz指数α的,获得函数f的Lipschitz正则性与小波变换沿尺度的渐近衰减性相关联,该衰减由小波变换模的值控制,进而获得一维小波变换刻画图像边缘曲线的奇性的公式并给出例子.
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| 关 键 词： | 小波变换模极大 局部Lipschitz指数 奇性 |
| 文章编号： | 1673-0291(2006)06-0081-04 |
| 收稿时间： | 2005-12-21 |
| 修稿时间： | 2005年12月21日 |
A Class of Image Edge Curve Singularity Detection with One-Dimensional Wavelet Transform |
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| QU Gang-rong,XU Qiong.A Class of Image Edge Curve Singularity Detection with One-Dimensional Wavelet Transform[J].JOURNAL OF BEIJING JIAOTONG UNIVERSITY,2006,30(6):81-84. |
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| Authors: | QU Gang-rong XU Qiong |
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| Institution: | 1. School of Sciences, Beijing Jiaotong University, Beijing 100044, China; 2. Dalian High MiddUe School of Economics and Business, Dalian 116024, China |
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| Abstract: | The relation between the local Lipschitz regularity of a function f and the asymptotic decay across scales of the wavelet transform is derived.And the decay is bounded by the value of the modulus of the wavelet transform.The formula of image edge curve singularity detection with one-dimensional wavelet transform and the example are given. |
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| Keywords: | modulus maxima of wavelet transform local Lipschitz exponents singularity |
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