Proceedings ArticleDOI
Signal characterization from multiscale edges
Stéphane Mallat,S. Zhong +1 more
- pp 891-896
TLDR
An algorithm that reconstructs one-dimensional signals and images from their sharper variation points at dyadic scales is described and it is proved that the evolution across scales of the wavelet maxima characterizes the local shape of the sharp variations of the signal.Abstract:
An algorithm that reconstructs one-dimensional signals and images from their sharper variation points at dyadic scales is described. This algorithm exactly reconstructs images from their multiscale edges. It is proved that the evolution across scales of the wavelet maxima characterizes the local shape of the sharp variations of the signal. One can thus not only detect edges but also classify them. The wavelet maxima representation is a new reorganization of the image information that makes it possible to develop algorithms uniquely based on edges for solving image processing problems. >read more
Citations
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Journal ArticleDOI
Fast algorithms for discrete and continuous wavelet transforms
Olivier Rioul,Pierre Duhamel +1 more
TL;DR: The goal of this work is to develop guidelines for implementing discrete and continuous wavelet transforms efficiently, and to compare the various algorithms obtained and give an idea of possible gains by providing operation counts.
Journal ArticleDOI
Damage Detection Using Optical Measurements and Wavelets
S. Patsias,W. J. Staszewskiy +1 more
TL;DR: In this paper, an application of the wavelet transform for damage detection based on optical measurements is presented, where a novel damage detection method based on optically measured modeshape data is proposed, illustrated using a simple cantilever beam experiment.
Patent
Image processing method, image processing apparatus and image processing program
Chizuko Ikeda,Shoichi Nomura +1 more
TL;DR: In this article, an image for the face candidate region is obtained, extraction conditions are determined for extracting the eye and the mouth pixels from the candidate region based on the size of the face region.
Proceedings ArticleDOI
Multiscale Feature Extraction of Finger-Vein Patterns Based on Curvelets and Local Interconnection Structure Neural Network
TL;DR: The proposed multiscale feature extraction method of finger-vein patterns based on wavelet and local interconnection structure neural networks is superior to other methods and solve the problem of extracting features from the unclear images efficiently.
Journal ArticleDOI
Time-frequency analysis of the first and the second heartbeat sounds
S. M. Debbal,F. Bereksi-Reguig +1 more
TL;DR: The analysis and comparisons of the spectrogram, Wigner distribution and wavelet transform techniques to the phonocardiogram signal (PCG) are presented to be able to distinguish the various techniques in their aptitude to separate and present suitably the internal components of these sounds.
References
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TL;DR: There is a natural uncertainty principle between detection and localization performance, which are the two main goals, and with this principle a single operator shape is derived which is optimal at any scale.
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Multifrequency channel decompositions of images and wavelet models
TL;DR: The author describes the mathematical properties of such decompositions and introduces the wavelet transform, which relates to the decomposition of an image into a wavelet orthonormal basis.
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Image Restoration by the Method of Convex Projections: Part 1ߞTheory
D. C. Youla,H. Webb +1 more
TL;DR: In this article, a projection operator onto a closed convex set in Hilbert space is proposed for image restoration from partial data which permits any number of nonlinear constraints of a certain type to be subsumed automatically.
Journal ArticleDOI
Information in the zero crossings of bandpass signals
TL;DR: In this article, an interesting subclass of bandpass signals, where the zero crossings of a bandpass signal determine its sign within a multiplicative constant, is described, and the members may have complex zeros, but it is necessary that h should have no zeros in common with its Hilbert transform other than real simple zeros.