Analysis of singularities from modulus maxima of complex wavelets
Analysis of singularities from modulus maxima of complex wavelets
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DOI：
10.1109/tit.2004.842706
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发表时间：
2005-03
期刊：
影响因子：
--
通讯作者：
Chun-Liang Tu;W. Hwang;Jinn Ho
中科院分区：
文献类型：
--
作者：
Chun-Liang Tu;W. Hwang;Jinn Ho
复值小波通常用于测量瞬时频率，而真实的小波通常用于检测奇异性。证明了复值小波模极大值可以检测和刻画奇异性。这是Mallat和Hwang关于模极大值的先前小波工作的扩展，使用真实的小波。通过这种扩展，我们可以同时从复值小波的小波模极大值中检测瞬时频率和奇异点。比较了用真实的小波和解析复值小波模极大值进行奇异性检测的结果。我们还证明了奇异性检测方法可以用来检测一个平面物体的角落。
Complex-valued wavelets are normally used to measure instantaneous frequencies, while real wavelets are normally used to detect singularities. We prove that the wavelet modulus maxima with a complex-valued wavelet can detect and characterize singularities. This is an extension of the previous wavelet work of Mallat and Hwang on modulus maxima using a real wavelet. With this extension, we can simultaneously detect instantaneous frequencies and singularities from the wavelet modulus maxima of a complex-valued wavelet. Some results of singularity detection with the modulus maxima from a real wavelet and an analytic complex-valued wavelet are compared. We also demonstrate that singularity detection methods can be employed to detect the corners of a planar object.