Many imaging systems rely on photon detection as the basis of image formation. One of the major sources of error in these systems is Poisson noise due to the quantum nature of the photon detection process. Unlike addi...
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ISBN:
(纸本)0819425915
Many imaging systems rely on photon detection as the basis of image formation. One of the major sources of error in these systems is Poisson noise due to the quantum nature of the photon detection process. Unlike additive Gaussian noise, Poisson noise is signal-dependent, and consequently separating signal from noise is a very difficult task. In this paper, we develop a novel wavelet-domain filtering procedure for noise removal in photon imaging systems. The filter adapts to both the signal and the noise and balances the trade-off between noise removal and excessive smoothing of image details. Designed using the statistical method of cross-validation, the filter is simultaneously optimal in a small-sample predictive sum of squares sense and asymptotically optimal in the mean square error sense. The filtering procedure has a simple interpretation as a joint edge detection/estimation process. Moreover, we derive an efficient algorithm for performing the filtering that has the same order of complexity as the fast wavelet transform itself. The performance of the new filter is assessed with simulated data experiments and tested with actual nuclear medicine imagery.
Generalized Lapped Orthogonal Transform (GenLOT) based image coder is used to compress 2-D seismic data sets. Its performance is compared to the results using wavelet-based image coder. Both algorithms use the same st...
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Generalized Lapped Orthogonal Transform (GenLOT) based image coder is used to compress 2-D seismic data sets. Its performance is compared to the results using wavelet-based image coder. Both algorithms use the same state-of-the-art zerotree coding for consistency and fair comparison. Several parameters such as filter length and objective cost function are varied to find the best suited filter banks. It is found that for raw data, filter bank with long overlapping filters should be used for processingsignals along the time direction whereas filter bank with short filters should be used for processingsignal along the distance direction. This combination yields the best results.
In this paper, we propose a simple yet effective fractal-wavelet scheme for edge-preserving smoothing of noisy images. Over the past decade, there has been significant interest in fractal coding for the purpose of ima...
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ISBN:
(纸本)0780376226
In this paper, we propose a simple yet effective fractal-wavelet scheme for edge-preserving smoothing of noisy images. Over the past decade, there has been significant interest in fractal coding for the purpose of image compression. Fractal-wavelet transforms were introduced in an effort to reduce the blockiness and computational complexity that are inherent in fractal image compression. applications of fractal-based coding to other aspects of imageprocessing, however, have received little attention. Recently, the authors proposed a simple yet effective fractal-based image denoising scheme that is applied in the spatial domain of the image. In this paper we extend the application of this fractal denoising scheme to the wavelet domain of the image. We find that when the wavelet transform of the noisy image is simply fractally coded, a significant amount of the noise is suppressed. However, one can go a step further and estimate the fractal code of the wavelet transform of the original noise-free image from that of the wavelet transform of the noisy image. The use of the quadtree partitioning scheme for the purpose of fractal-wavelet coding results in a significantly enhanced and restored representation of the original noisy image. The enhancement is consistent with the human visual system where extra smoothing is performed in flat and low activity regions and a lower degree of smoothing is performed near high frequency components, e.g. edges, of the image. The main advantage of the wavelet-based fractal denoising scheme over the standard fractal denoising scheme is that it is computationally less expensive.
The wavelet transform has gained much in popularity recently. Although the concepts underlying the wavelet transform have been used for some time, it is only in the last seven years that it began to have an impact, es...
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ISBN:
(纸本)0819419117
The wavelet transform has gained much in popularity recently. Although the concepts underlying the wavelet transform have been used for some time, it is only in the last seven years that it began to have an impact, especially on signal and imageprocessing. wavelets have applications in differential equations, signalprocessing, image and video compression, and many other domains. We provide a brief introduction to wavelets and wavelet analysis, and compare the wavelet and Fourier transforms. The wavelet transform allows us to analyze nonstationary signals, which the Fourier transform cannot. This is a very important property of wavelets. A wavelet decomposition makes it possible to analyze a signal both in time (or space) and frequency domains and is appropriate for multiresolution analysis. One interesting application of wavelets is image fusion. For this application we take the wavelet transform of images coming from different sensors (e.g., visible and infrared). This provides us with a multiresolution description of visible and infrared images. The two images are then merged at each level of resolution. Applying the inverse wavelet transform on the resulting image generates a new image which is a composite of the two original ones. This concept can be applied to more than two images whether they are in the same spectral band or not. Some results are presented and compared with the classical pyramidal algorithms of Burt and Toet.
wavelet packet division multiplexing (WPDM) is a multiplexing scheme in which the message signals are coded onto wavelet packet basis functions for transmission. A feature of WPDM is that the coding waveforms overlap ...
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ISBN:
(纸本)0819422134
wavelet packet division multiplexing (WPDM) is a multiplexing scheme in which the message signals are coded onto wavelet packet basis functions for transmission. A feature of WPDM is that the coding waveforms overlap in time and frequency, which can provide greater capacity and greater immunity to certain channel imperfections that time division and frequency division multiplexing. By analogy with frequency-hopped communication schemes, the WPDM scheme can be further enhanced by providing a framework for hopping the transmission parameters of the scheme in a pattern which is known by the receiver. In this paper, we exploit the underlying filter back structure of WPDM and the recent development of time-varying filter banks for signal analysis to provide a framework for slow wavelet packet hopping which does not compromise the data rate.
The cardiosynchronous signal obtained through Radio Frequency Impedance Interrogation (RFII) is a non-invasive method for monitoring hemodynamics with potential applications in combat triage and biometric identificati...
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ISBN:
(纸本)9781467325332;9781467325349
The cardiosynchronous signal obtained through Radio Frequency Impedance Interrogation (RFII) is a non-invasive method for monitoring hemodynamics with potential applications in combat triage and biometric identification. The RFII signal is periodic in nature dominated by the heart beat cycle. The first step in both of these applications is to segment the signal by identifying a fiducial point in each heart beat cycle. A continuous wavelet transform was utilized to locate the fiducial points with high temporal resolution. Cepstral Analysis was used to estimate the average heart rate to focus on the appropriate portion of the time-frequency spectrum. Robust heartbeats from RFII signals collected from four subjects were segmented using this method.
A viable approach to noise filtering in a spatially heterogeneous environment consists of considering a multiresolution representation of the noisy image, nd of applying a different adaptive filter to each layer. The ...
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This paper comprehensively overviews image and signalprocessing, including their fundamentals, advanced techniques, and applications. imageprocessing involves analyzing and manipulating digital images, while signal ...
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This work provides a new approach to estimate the parameters of a semi-parametric generalized linear model in the wavelet domain. The method is illustrated with the problem of detecting significant changes in fMRI sig...
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ISBN:
(纸本)0819441929
This work provides a new approach to estimate the parameters of a semi-parametric generalized linear model in the wavelet domain. The method is illustrated with the problem of detecting significant changes in fMRI signals that are correlated to a stimulus time course. The fMRI signal is described as the sum of two effects : a smooth trend and the response to the stimulus. The trend belongs to a subspace spanned by large scale wavelets. We have developed a scale space regression that permits to carry out the regression in the wavelet domain while omitting the scales that are contaminated by the trend. Experiments with fMRI data demonstrate that our approach can infer and remove drifts that cannot be adequately represented with low degree polynomials. Our approach results in a noticeable improvement by reducing the false positive rate and increasing the true positive rate.
The denoising of a natural image corrupted by Gaussian noise is a long established problem in signal or imageprocessing Even though much work has been done in the field of wavelet thresholding, most of it was focused...
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ISBN:
(纸本)0769530508
The denoising of a natural image corrupted by Gaussian noise is a long established problem in signal or imageprocessing Even though much work has been done in the field of wavelet thresholding, most of it was focused on statistical modeling of wavelet coefficients and the optimal choice of thresholds. This paper describes a new method for suppression of noise in image by fusing the wavelet Denoising technique with optimized thresholding function, improving the denoised results significantly. Simulated noise images are used to evaluate the denoising performance of proposed algorithm along with another wavelet-based denoising algorithm. Experimental result shows that the proposed denoising method outperforms standard wavelet denoising techniques in terms of the PSNR and the preservation of edge information. We have compared this with various denoising methods like wiener filter Visit Shrink, Oracle Shrink and Bayes Shrink.
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