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Factoring wavelet transforms into lifting steps
 J. FOURIER ANAL. APPL
, 1998
"... This paper is essentially tutorial in nature. We show how any discrete wavelet transform or two band subband filtering with finite filters can be decomposed into a finite sequence of simple filtering steps, which we call lifting steps but that are also known as ladder structures. This decompositio ..."
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Cited by 584 (8 self)
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This paper is essentially tutorial in nature. We show how any discrete wavelet transform or two band subband filtering with finite filters can be decomposed into a finite sequence of simple filtering steps, which we call lifting steps but that are also known as ladder structures
Continuous and discrete wavelet transforms
 SIAM REVIEW
, 1989
"... This paper is an expository survey of results on integral representations and discrete sum expansions of functions in L 2 (R) in terms of coherent states. Two types of coherent states are considered: Weyl–Heisenberg coherent states, which arise from translations and modulations of a single functio ..."
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Cited by 281 (29 self)
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function, and affine coherent states, called “wavelets,” which arise as translations and dilations of a single function. In each case it is shown how to represent any function in L²R) as a sum or integral of these states. Most of the paper is a survey of literature, most notably the work of I. Daubechies
Interpolating Wavelet Transform
, 1992
"... We describe several "wavelet transforms" which characterize smoothness spaces and for which the coefficients are obtained by sampling rather than integration. We use them to reinterpret the empirical wavelet transform, i.e. the common practice of applying pyramid filters to samples of a f ..."
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Cited by 152 (13 self)
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We describe several "wavelet transforms" which characterize smoothness spaces and for which the coefficients are obtained by sampling rather than integration. We use them to reinterpret the empirical wavelet transform, i.e. the common practice of applying pyramid filters to samples of a
Texture analysis and classification with treestructured wavelet transform
 IEEE TRANS. IMAGE PROCESSING
, 1993
"... One difficulty of texture analysis in the past was the lack of adequate tools to characterize different scales of textures effectively. Recent developments in multiresolution analysis such as the Gabor and wavelet transforms help to overcome this difficulty. In this research, we propose a multiresol ..."
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Cited by 319 (1 self)
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One difficulty of texture analysis in the past was the lack of adequate tools to characterize different scales of textures effectively. Recent developments in multiresolution analysis such as the Gabor and wavelet transforms help to overcome this difficulty. In this research, we propose a
Wavelet Transform
"... AhsrrucrThis paper describes the application of an artificial neural network (ANN) technique together with a feature extraction technique, viz., the wavelet transform, for the classification of EEG signals. Three classes of EEG signals were used: Normal, Schizophrenia (SCH), and Obsessive Compulsi ..."
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AhsrrucrThis paper describes the application of an artificial neural network (ANN) technique together with a feature extraction technique, viz., the wavelet transform, for the classification of EEG signals. Three classes of EEG signals were used: Normal, Schizophrenia (SCH), and Obsessive
on Wavelet Transform
"... Abstract—Early detection is the key to improve prognosis of breast cancer, which is one of the most common forms of cancer among women. Currently, the most efficient method for breast cancer early detection is mammography. An early sign of 30–50 % of breast cancer incidents is the appearance of clus ..."
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Cited by 4 (0 self)
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(CAD) systems. One of the most powerful computing methods these systems use is the multiresolution analysis of digitized mammographic images, based on wavelet transform. In this paper, we present a comparative study of such methods which are widely used in microcalcification detection and feature
Using wavelet transforms for multiresolu
"... Using wavelet transforms for multiresolution materials modeling ..."
With Wavelet Transformation Without Wavelet Transformation
"... The final quality and functionality testing was conducted a quad PII450 Linux machine located in the CIS department. The machine has four processors. Both the sequential and the parallel programs were tested on the machine. The following two testing images were used: • Lena.raw – width = 512, heigh ..."
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for different number of thread in the thread pool, ranging from 1 to 7. Because testing revealed unexpected results, more testing was conducted on the sequential and the parallel program after removing the wavelet transformation process. 2.0 Test Log For all of the following test results, the comparisons
The Discrete Wavelet Transform in S
 JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS
, 1994
"... The theory of wavelets has recently undergone a period of rapid development. We introduce a software package called wavethresh that works within the statistical language S to perform one and twodimensional discrete wavelet transforms. The transforms and their inverses can be computed using any par ..."
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Cited by 94 (24 self)
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The theory of wavelets has recently undergone a period of rapid development. We introduce a software package called wavethresh that works within the statistical language S to perform one and twodimensional discrete wavelet transforms. The transforms and their inverses can be computed using any
Results 1  10
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10,761