Wavelet shrinkage is a signal estimation technique that exploits the remarkable abilities of the wavelet transform for signal compression. Wavelet shrinkage using thresholding is asymptotically optimal in a minimax me...
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ISBN:
(纸本)0819425915
Wavelet shrinkage is a signal estimation technique that exploits the remarkable abilities of the wavelet transform for signal compression. Wavelet shrinkage using thresholding is asymptotically optimal in a minimax mean-square error (MSE) sense over a variety of smoothness spaces. However, for any given signal, the MSE-optimal processing is achieved by the Wiener filter, which delivers substantially improved performance. In this paper, we develop a new algorithm for wavelet denoising that uses a wavelet shrinkage estimate as a means to design a wavelet-domain Wiener filter. The shrinkage estimate indirectly yields an estimate of the signal subspace that is leveraged into the design of the filter. A peculiar aspect of the algorithm is its use of two wavelet bases: one for the design of the empirical Wiener filter and one for its application. Simulation results show up to a factor of 2 improvement in MSE over wavelet shrinkage, with a corresponding improvement in visual quality of the estimate. Simulations also yield a remarkable observation: whereas shrinkage estimates typically improve performance by trading bias for variance or vice versa, the proposed scheme typically decreases both bias and variance compared to wavelet shrinkage.
We present a technique to compress scalar functions defined on 2-manifolds of arbitrary topology. Our approach combines discrete wavelet transforms with zerotree compression, building on ideas from three previous deve...
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ISBN:
(纸本)0819425869
We present a technique to compress scalar functions defined on 2-manifolds of arbitrary topology. Our approach combines discrete wavelet transforms with zerotree compression, building on ideas from three previous developments. the lifting scheme, spherical wavelets, and embedded zerotree coding methods. applications lie in the efficient storage and rapid transmission of complex data sets. Typical data sets are earth topography, satellite images, and surface parametrizations. Our contribution in this paper is the novel combination and application of these techniques to general 2-manifolds.
Since the traditional wavelet and wavelet packet coefficients do not exactly represent the strength of signal components at the very time(space)-frequency tilling, Group-Normalized Wavelet Packet Transform (GNWPT), is...
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ISBN:
(纸本)0819424935
Since the traditional wavelet and wavelet packet coefficients do not exactly represent the strength of signal components at the very time(space)-frequency tilling, Group-Normalized Wavelet Packet Transform (GNWPT), is presented for nonlinear signal filtering and extraction from the clutter or noise, together with the space(time)frequency masking technique. The extended l(p)-entropy improves the performance of GNWPT. For perception based image, soft-logic masking (different from Donoho's method) is emphasized to remove the aliasing with edge preserved. Lawton's method for complex valued wavelets construction is extended to generate the complex valued compactly supported wavelet packets for radar signal extraction. This kind of wavelet packets are symmetry and unitary orthogonal. Well-defined wavelet packets are chosen by the analysis remarks on their time-frequency characteristics. For real valued signalprocessing, such as images and ECG signal, the compactly supported spline or biorthogonal wavelet packets are preferred for perfect de-noising and filtering qualities.
The wavelet paradigm is now well established and has found many applications in signal and imageprocessing. Since also some of its precursors can be reformulated into wavelet terminology, it has become a preferred to...
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The wavelet paradigm is now well established and has found many applications in signal and imageprocessing. Since also some of its precursors can be reformulated into wavelet terminology, it has become a preferred tool for multiresolution analysis. We have given an overview of the application of wavelet multiresolution image analysis to texture. Results of recent studies prove the merits of the methods in practical segmentation and classification problems. Some aspects still need further investigation. Two were discussed: rotation invariance and colour texture.
The proceedings contain 56 papers. The topics discussed include: review of recent results on optimal orthonormal subband coders;comparison of wavelet image coding schemes for seismic data compression;image quality mea...
The proceedings contain 56 papers. The topics discussed include: review of recent results on optimal orthonormal subband coders;comparison of wavelet image coding schemes for seismic data compression;image quality measurement using the Haar wavelet;lossless image compression using wavelets over finite rings and related architectures;on consistent signal reconstruction from wavelet extrema representation;seismic imaging in wavelet domain: decomposition and compression of imaging operator;application of differential mapping and wavelet transform;usage of short wavelets for scalable audio coding;enhanced resolution control for video sequences;regularized multiresolution methods for astronomical image enhancement;weighted time-frequency and time-scale transforms for non-stationary signal detection;and a wavelet detector for distributed objects.
Severe weather such as tornadoes and large hail often emanates from thunderstorms that have persistent, well organized, rotating updrafts. These rotating updrafts, which are generally referred to as mesocyclones, appe...
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ISBN:
(纸本)0819425915
Severe weather such as tornadoes and large hail often emanates from thunderstorms that have persistent, well organized, rotating updrafts. These rotating updrafts, which are generally referred to as mesocyclones, appear as couplets of incoming and outgoing radial velocities to a single Doppler radar. Observations of mesocyclones reveal useful information on the kinematics in the vicinity of the storm updraft that, if properly interpreted, can be used to assess the likelihood and intensity of the severe weather. Automated algorithms for such assessments exist, but are inconsistent in their wind shear estimations and are prone to high false alarm rates. Reported here are the elements of a new approach that we believe will alleviate the shortcomings of previous mesocyclone detection algorithms. This wavelet-based approach enables us to focus on the known scales where mesocyclones reside. Common data quality problems associated with radar data such as noise and data gaps are handled effectively by the approach presented here. We demonstrate our approach with a one-dimensional test pattern, then with a two-dimensional synthetic mesocyclone vortex, and finally with a case study.
This paper presents the results of the development of an adaptive method for reducing signal-dependent noise, such as speckle noise, in a coherent imaging system signal, such as in medical ultrasound imaging. Speckle ...
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ISBN:
(纸本)0819425915
This paper presents the results of the development of an adaptive method for reducing signal-dependent noise, such as speckle noise, in a coherent imaging system signal, such as in medical ultrasound imaging. Speckle noise is filtered using nonlinear adaptive thresholding of received echo wavelet transform coefficients. Filtering speckle noise in ultrasound imaging enhances the resultant image by improving the signal-to-noise ratio. This method includes the steps of transforming the imaging system signal using discrete wavelet transformation to provide wavelet transform coefficients for each of the wavelet scales having different levels of resolution ranging from a finest wavelet scale to a coarsest wavelet scale;deleting the wavelet transform coefficients representing the finest wavelet scale;identifying, for each wavelet scale other than the finest wavelet scale, which of the wavelet transform coefficients are related to noise and which are related to a true signal through the use of adaptive non-linear thresholding;selecting those wavelet transform coefficients which are identified as being related to a true signal;and inverse transforming the selected wavelet transform coefficients using an inverse discrete wavelet transformation to provide an enhanced true signal with reduced noise. This method is shown to improve the signal-to-noise ratio by 2-5 dB in digital ultrasound images of real and phantom objects for a range of thresholding levels while preserving the contrast differences between regions and maintaining feature edges. The filtered images have an enhanced apparent contrast resulting from the reduction in the speckle noise and the preservation of the contrast differences.
Traditional objective metrics for the quality measure of coded images such as the mean squared error (MSE) and the peak signal-to-noise ratio (PSNR) do not correlate with the subjective human visual experiences well, ...
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ISBN:
(纸本)0819424358
Traditional objective metrics for the quality measure of coded images such as the mean squared error (MSE) and the peak signal-to-noise ratio (PSNR) do not correlate with the subjective human visual experiences well, since they do not take human perception into account. Quantification of artifacts resulted from lossy image compression techniques is studied based on a human visual system (HVS) model and the time-space localization property of the wavelet transform is exploited to simulate HVS in this research. As a result of our research, anew image quality measure by using the wavelet basis function is proposed. This new metric works for a wide variety of compression artifacts. Experimental results are given to demonstrate that it is more consistent with human subjective ranking.
We propose two new approaches which consider the specific sonar image segmentation problem in a statistical regularization framework, based on hierarchical Markov Random Field (MRF) modeling. Within this framework, da...
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ISBN:
(纸本)0819424374
We propose two new approaches which consider the specific sonar image segmentation problem in a statistical regularization framework, based on hierarchical Markov Random Field (MRF) modeling. Within this framework, data-driven parameters estimation is performed using a mixture distributions and the contextual parameters are estimated by using the ''qualitative box'' method. Then we developp two unsupervised segmentations algorithms. The first one, based on a multigrid approach, requires pyramidal structure of the label field, associated to a single observation level: the MRF energy function is re-written at each scale as a coarser MRF model (derived from the one defined at full resolution). The second algorithm we proposed is based on a multiresolution approach: an observation pyramid is obtained by image projection on biorthogonal wavelets. The signal to Noise Ratio is thus increased and allows to give a good initialization for the regularization algorithm at each level. We also compare the robustness of these unsupervised multigrid and multiresolution approaches. Some convincing results are presented and validate these new approaches for synthetic and real sonar picture segmentation.
We study the performance difference of the discrete cosine transform (DCT) and the wavelet transform for both image and video coding, while comparing the other aspects of the coding system on an equal footing. Based o...
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ISBN:
(纸本)0819425869
We study the performance difference of the discrete cosine transform (DCT) and the wavelet transform for both image and video coding, while comparing the other aspects of the coding system on an equal footing. Based on the state-of-the-art coding techniques, we point out that, for still images, the performance gap between DCT and wavelet based coding is within one dB in PSNR at the same bitrate. This is in contrast to the common perception that the wavelet transform is much superior to the DCT for image compression. For video coding, the advantage of using the wavelet transform over the DCT is even less pronounced.
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