Dyadic Wavelets Energy Zero-Crossings

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Technical Reports (CIS)
General Robotics, Automation, Sensing and Perception Laboratory
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Mallat, Stephane G
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An important problem in signal analysis is to define a general purpose signal representation which is well adapted for developing pattern recognition algorithms. In this paper we will show that such a representation can be defined from the position of the zero-crossings and the local energy values of a dyadic wavelet decomposition. This representation is experimentally complete and admits a simple distance for pattern matching applications. It provides a multiscale decomposition of the signal and at each scale characterizes the locations of abrupt changes in the signal. We have developed a stereo matching algorithm to illustrate the application of this representation to pattern matching.

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1988-07-01
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University of Pennsylvania Department of Computer and Information Science Technical Report No. MS-CIS-88-30.
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