Mosaic techniques have been used to combine two or more signals into a new one with an invisible seam, and with as little distortion of each signal as possible. Multiresolution representation is an effective method fo...
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ISBN:
(纸本)0780332598
Mosaic techniques have been used to combine two or more signals into a new one with an invisible seam, and with as little distortion of each signal as possible. Multiresolution representation is an effective method for analyzing the information content of signals, and it also fits a wide spectrum of visual signalprocessing and visual communication applications. The wavelet transform is one kind of multiresolution representations, and has found a wide variety of application in many aspects, including signal analysis, image coding, imageprocessing, computer vision and etc. Due to its characteristic of multiresolution signal decomposition, the wavelet transform is used for the image mosaic by choosing the width of the mosaic transition zone proportional to the frequency represented in the band. Both 1-D and 2-D signal mosaics are described, and some factors which affect the mosaics are discussed.
This paper intends to present an integrated approach of constructing new spatio-temporal wavelets for discrete signal analysis. The main illustrative field of applications considered here stands as the analysis of dig...
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This paper intends to present an integrated approach of constructing new spatio-temporal wavelets for discrete signal analysis. The main illustrative field of applications considered here stands as the analysis of digital image sequences. Nevertheless, this can be readily extended to any kind of spatio-temporal signals. Continuous wavelet transforms, continuous series, discretized series and discrete transforms are considered here in an unified way. The analysis to be developed relies only on dynamic parameters like uniform translation and rotation, on kinematic parameters like velocity and speed and on structural parameters as scale and orientation. This digital processing intends to cover the detection and the focalization on motion-based regions of interest in order to perform tracking, classification, segmentation, multiscale trajectory construction and eventually a selective reconstruction of the useful content.
Multiresolution analysis via decomposition into wavelets has been established as an important transform technique in signalprocessing. A wealth of results is available on this subject, the framework has been extended...
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Multiresolution analysis via decomposition into wavelets has been established as an important transform technique in signalprocessing. A wealth of results is available on this subject, the framework has been extended to treat finite length sequences of size 2/sup n/ (for positive integers n) over finite fields. The paper extends this idea further to provide a framework for dealing with data lengths p/sup n/ for any prime p. This generalization is motivated in part by the need for such transforms for building error correcting codes in the wavelet transform domain. Potential applications and computational complexity issues are discussed as well. We focus on the description of wavelet transforms in terms of perfect reconstruction filter banks.
We address the problem of bit allocation to wavelet subbands by extending the recursive optimal pruning algorithm of Kiang, Baker, Sullivan and Chiu (see IEEE Transactions on imageprocessing, vol.1, no.4, p.162-9, 19...
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We address the problem of bit allocation to wavelet subbands by extending the recursive optimal pruning algorithm of Kiang, Baker, Sullivan and Chiu (see IEEE Transactions on imageprocessing, vol.1, no.4, p.162-9, 1992) to bit allocation. We apply the algorithm to tree-structured vector quantizers used to code image subbands that result from the wavelet decomposition. We compare this method to the GBFOS algorithm, that is, the generalized Breiman, Friedman, Olshen, and Stone (1984) bit allocation, and show that it produces many additional bit allocations that lie close to the rate-distortion curve.
We define a data structure called a "web" together with an algorithm to choose scale-space atoms for representing an image. The corresponding wavelet coefficients (of the atoms chosen using this method) have...
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We define a data structure called a "web" together with an algorithm to choose scale-space atoms for representing an image. The corresponding wavelet coefficients (of the atoms chosen using this method) have useful properties which lead to (i) the definition of a stochastic process for representing images and (ii) an efficient image compression algorithm. The advantage of our image compression algorithm is that the computational requirement is very low. The stochastic process is useful in a theoretical sense because it gives us a framework in which to understand images and certain image compression algorithms.
In order to satisfy the needs of new multimedia applications, the problem of content-based video coding has to be addressed. A new approach of object interior coding is proposed. It is based on an arbitrarily-shaped s...
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In order to satisfy the needs of new multimedia applications, the problem of content-based video coding has to be addressed. A new approach of object interior coding is proposed. It is based on an arbitrarily-shaped subband transform followed by a generalized embedded zerotree wavelet algorithm. It is shown that the proposed technique achieves good compression results and has additional properties such as being computationally efficient, keeping the same dimensionality in the transformed domain, being perfect reconstruction, and allowing a perfect rate control. In addition a lossless mode can be defined by using an appropriate filter bank.
The problems encountered in the development and implementation of two-dimensional orthonormal wavelet bases and their filter banks in polar coordinates are addressed. These wavelets and filter banks have possible appl...
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The problems encountered in the development and implementation of two-dimensional orthonormal wavelet bases and their filter banks in polar coordinates are addressed. These wavelets and filter banks have possible applications in processingsignals that are collected by sensors working in the polar coordinate system, such as biomedical and radar generated signals. wavelet bases are developed in the convenient and familiar surrounding of the rectangular plane, and the theory is transported to the polar plane. Corresponding filter banks are developed and the implementation of wavelet analysis in the polar plane is discussed. Examples are provided.
A new method for measuring and designing a smooth wavelet basis which dispenses with the need for having a large number of zero moments of the wavelet is given. The method is based on minimizing the "discrete fin...
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A new method for measuring and designing a smooth wavelet basis which dispenses with the need for having a large number of zero moments of the wavelet is given. The method is based on minimizing the "discrete finite variation", and is a measure of the local "roughness" of a sampled version of the scaling function giving rise to a "visually smooth" wavelet basis. A smooth wavelet basis is deemed to be important for several applications and in particular for image compression where the goal is to limit spurious artifacts due to non-smooth basis functions in the presence of quantization of the individual subbands. The definition of smoothness introduced here gives rise to new algorithms for designing smooth wavelet basis with only one vanishing moment leaving free parameters, otherwise used for setting moments to zero, for optimization.
Previous authors have discussed signalprocessing by many different methods. One of them, which is useful and a relatively recent development in signalprocessing, is the wavelet method. These authors have obtained wa...
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Previous authors have discussed signalprocessing by many different methods. One of them, which is useful and a relatively recent development in signalprocessing, is the wavelet method. These authors have obtained wavelets on an infinite interval (-/spl infin/, +/spl infin/) first, and then on a bounded interval, but their wavelets were only restricted in k/spl middot/2/sup -j/ scale knots in ~0,1\. The aim of this paper is to present an approach for the study of multiresolution analysis and wavelets on a bounded interval with free knots. This wavelet can be used as different bandpass filters to different subintervals in ~0,1\ for signalprocessing.
We present a new stabilized zero-crossing representation with a salient feature that the signal reconstruction problem reduces to a typical minimum-norm optimization problem, the solution of which is formulated as a l...
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We present a new stabilized zero-crossing representation with a salient feature that the signal reconstruction problem reduces to a typical minimum-norm optimization problem, the solution of which is formulated as a linear simultaneous equation, and develop an iterative algorithm for signal reconstruction. Moreover, we extend them to the two-dimensional case. With the extended two-dimensional reconstruction algorithm we can almost perfectly reconstruct an original image from the stabilized two-dimensional zero-crossing representation, and after some dozens of iterations the algorithm provides a reconstructed image with subjectively high picture quality. Furthermore, we introduce a threshold operation based on edge intensity to reduce the amount of information in the stabilized zero-crossing representation, and experimentally demonstrate that the threshold operation works well.
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