In the field of signalprocessing, there is a need to quickly and efficiently detect and extract information from signals. One type of signal feature that is difficult to process is a discontinuous singularity and cha...
详细信息
ISBN:
(纸本)081942143X
In the field of signalprocessing, there is a need to quickly and efficiently detect and extract information from signals. One type of signal feature that is difficult to process is a discontinuous singularity and chaotic structure. In this paper, we conduct an experiment that employs adaptive wavelet transforms to efficiently detect signals from simulated data. The adaptive wavelet transformations create super-mother wavelets, which are used to extract a singularity signal from a noisy transmission.
For a given basic wavelet (psi) (t), two distinct correspondences (called C1 and C2) are established between frequency filters, defined in the frequency domain through multiplication by a transfer function W(f), and s...
详细信息
ISBN:
(纸本)0819422134
For a given basic wavelet (psi) (t), two distinct correspondences (called C1 and C2) are established between frequency filters, defined in the frequency domain through multiplication by a transfer function W(f), and scale filters, defined in the wavelet domain through multiplication by a scale transfer function w((sigma) ). W(f) is obtained by performing a scaling convolution of w((sigma) ) with (psi) (f)* (for C1) or its spectral energy density (psi) (f) 2 (for C2). For a large class of transfer functions W(f), this relation can be solved for w((sigma) ) by applying the Mellin transform. We call such frequency filters and their associated time-domain convolution operators C1- or C2-admissible with respect to (psi) . In particular, the identity operator (W(f) equalsV 1) is C2-admissible if and only if the wavelet (psi) is admissible in the conventional sense. The implementation of the correspondence C1 is computationally simpler than C2, but C2 can be generalized to time-dependent filters. applications are proposed to the analysis of atmospheric turbulence data and wideband Doppler filtering.
Recently there has been a great deal of interest in the use of wavelets and implementation of wavelet transforms. We discuss applications of the wavelet transform to image analysis, including target recognition, rotat...
详细信息
ISBN:
(纸本)081942143X
Recently there has been a great deal of interest in the use of wavelets and implementation of wavelet transforms. We discuss applications of the wavelet transform to image analysis, including target recognition, rotation and scale invariance, and pattern recognition in the presence of background noise. We propose a method for both scale and rotation invariant pattern recognition based on wavelet features of an image. wavelets offer advantages in these applications because of their improved ability to discriminate signals in the presence of noise. Performance can be improved by careful selection of the mother wavelet for a given application;we have chosen a two-dimensional Gaussian mother wavelet. Computer simulations of wavelet transform based pattern recognition are discussed, which illustrate scale and rotation invariant target recognition in the presence of noise. Because the wavelet transform is essentially a correlation between the input signal and the family of daughter wavelets, it may be implemented by any type of programmable correlator. In particular, acousto-optic devices offer several advantages;they are programmable and capable of changing their input functions in real time, and commercial devices are available which offer large time-bandwidth products. Acousto-optic image correlators are discussed as a potential implementation of the wavelet transform;by encoding a 1 dimensional wavelet filter bank as a 2 dimensional image, we can implement the wavelet transform image processor without requiring a 2 dimensional spatial light modulator. An alternative implementation utilizes a 2 dimensional array of acousto-optic correlators for a hybrid implementation of a quadrature mirror filter bank.
The design of a wavelet image coder can be divided into three parts: wavelet representation, quantization, and error-free encoding. We evaluate each of these parts individually and synthesize them into complete coders...
详细信息
The design of a wavelet image coder can be divided into three parts: wavelet representation, quantization, and error-free encoding. We evaluate each of these parts individually and synthesize them into complete coders. The evaluation is in the rate-distortion sense;two image quality metrics are used: a perception-based, quantitative picture quality scale (PQS) and the conventional distortion measure, peak signal-to-noise ratio (PSNR). Two representative wavelets, three quantizers, three encoders, and some combinations of these parts are comparatively evaluated. Our results provide an insight into the design issues of optimizing wavelet coders, as well as a good reference for application developers to choose from an increasingly large family of wavelet coders for their applications.
A variant of the S-transform (ST), which is a multiresolution Walsh-Hadamard transform having the structure of a dyadic wavelet decomposition, is proposed for both speeding up computation,and enabling extension to 3D ...
详细信息
ISBN:
(纸本)0819422134
A variant of the S-transform (ST), which is a multiresolution Walsh-Hadamard transform having the structure of a dyadic wavelet decomposition, is proposed for both speeding up computation,and enabling extension to 3D data, when reversible coding of medical images and image sequences is concerned. It is derived by exploiting the same parity of the sum and the difference of two integers in a separable fashion, and thereby it has been easily extended to decorrelate volumetric data. Also, the spatial structure of the ST is considered by modelling the statistics of the different subbands of integer coefficients as generalized Gaussian probability density functions (PDF), and by fitting individual codebooks for variable length coding. The estimate of the shape factor of the PDF is based on a novel criterion matching the entropy of the theoretical and actual distributions. Coding performance comparisons are made with a similar algorithm, like the reduced-difference pyramid (RDP), designed for the purpose of hierarchical lossless image compression,as well as with lossless JPEG. Tests carried out on medical images and tomographic sequences show improvements of the proposed scheme over both the RDP and the 2D ST. Archival/retrieval are feasible on-line, still with the benefits of multiresolution coding for telebrowsing.
In order to address simultaneously the two functionalities, content-based scalability required by MPEG-4, we introduce a segmentation-based wavelet transform (SBWT). SBWT takes into account both the mathematical prope...
详细信息
ISBN:
(纸本)0819422118
In order to address simultaneously the two functionalities, content-based scalability required by MPEG-4, we introduce a segmentation-based wavelet transform (SBWT). SBWT takes into account both the mathematical properties of multiresolution analysis and the flexibility of region-based approaches for image compression. The associated methodology has two stages: 1) image segmentation into convex and polygonal regions; 2) 2D-wavelet transform of the signal corresponding to each region. In this paper, we have mathematically studied a method for constructing a multiresolution analysis (VjOmega)j (epsilon) N adapted to a polygonal region which provides an adaptive region-based filtering. The explicit construction of scaling functions, pre-wavelets and orthonormal wavelets bases defined on a polygon is carried out by using scaling functions is established by using the theory of Toeplitz operators. The corresponding expression can be interpreted as a location property which allow defining interior and boundary scaling functions. Concerning orthonormal wavelets and pre-wavelets, a similar expansion is obtained by taking advantage of the properties of the orthogonal projector P(V(j(Omega )) perpendicular from the space Vj(Omega ) + 1 onto the space (Vj(Omega )) perpendicular. Finally the mathematical results provide a simple and fast algorithm adapted to polygonal regions.
On the base of local criteria of processing quality, a class of local adaptive linear filters for image restoration and enhancement is introduced. The filters work in a running window in the domain of DFT of DCT and h...
详细信息
ISBN:
(纸本)0819422134
On the base of local criteria of processing quality, a class of local adaptive linear filters for image restoration and enhancement is introduced. The filters work in a running window in the domain of DFT of DCT and have O (size of the window) computational complexity thanks to recursive algorithms of running DFT and DCT. The filter design and the recursive computation of running DCT are outlined and filtering for edge preserved noise suppression, blind image restoration and enhancement is demonstrated.
The tool introduced in this paper allows to automatically decide in an image or in a video sequence which regions are important and which ones are not. For this purpose, Fuzzy Logic has been used to modelize human sub...
详细信息
ISBN:
(纸本)0780332598
The tool introduced in this paper allows to automatically decide in an image or in a video sequence which regions are important and which ones are not. For this purpose, Fuzzy Logic has been used to modelize human subjective knowledge about the way to allocate priorities to regions. The resulting classification can be used in a wide range of applications going from image coding to image understanding.
Deterministic hierarchical approaches in image analysis comprise two major sub-classes: the multiresolution approach and the scale-space representation. Both approaches require either a coarse-to-fine exploration of t...
详细信息
ISBN:
(纸本)0819420360
Deterministic hierarchical approaches in image analysis comprise two major sub-classes: the multiresolution approach and the scale-space representation. Both approaches require either a coarse-to-fine exploration of the hierarchical structure, or a careful selection of a single analysis parameter, but neither one takes full advantage of the hierarchical structure (the end result is obtained at only one analysis level). To overcome this limitation, we propose an explicit hierarchical-based model in which any image primitive is expressed as a finite sum of mobile wavelets (MW), which are defined as wavelets whose dilation, translation and amplitude parameters are allowed to vary. This description derives from an adaptive discretization of the continuous, inverse wavelet transform. First, the MW-based representation is used within the framework of active contour modeling. The primitive corresponds to a deformable, parametrized curve expressed as a sum of MWs. The initial curve is refined by updating the three parameters of each MW in order to minimize the intensity gradient along the active contour. Surface reconstruction is also addressed by the MW approach. In this case, the primitive, the intensity function, is expressed as a sum of MW whose associated parameters are estimated from the noisy data by minimizing a regularizing energy functional.
Recently, a new class of image coding algorithms coupling standard scalar quantization of frequency coefficients with tree-structured quantization (related to spatial structures) has attracted wide attention because i...
详细信息
ISBN:
(纸本)0819422355
Recently, a new class of image coding algorithms coupling standard scalar quantization of frequency coefficients with tree-structured quantization (related to spatial structures) has attracted wide attention because its good performance appears to confirm the promised efficiencies of hierarchical representation.(1,2) This paper addresses the problem of how spatial quantization modes and standard scalar quantization can be applied in a jointly optimal fashion in an image coder. We consider zerotree quantization (zeroing out tree-structured sets of wavelet coefficients) and the simplest form of scalar quantization (a single common uniform scalar quantizer applied to all non-zeroed coefficients), and we formalize the problem of optimizing their joint application and we develop an image coding algorithm for solving the resulting optimization problem. Despite the basic form of the two quantizers considered, the resulting algorithm demonstrates coding performance that is competitive (often outperforming) the very best coding algorithms in the literature.
暂无评论