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检索条件"任意字段=Conference on Wavelets - Applications in Signal and Image Processing IX"

共 646 条记录，以下是11-20 订阅

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Transforming convolution and correlation

Transforming convolution and correlation

引用

conference on wavelets - applications in signal and image processing ix

作者： Cohen, L Lindsey, AR Suter, BW CUNY New York NY 10021 USA

ISBN: (纸本)0819441929

We give an explicit expression for the transform of a signal in an arbitrary representation which has first been filtered in another representation. Using thus formula we connect the work of Cohen for obtaining convolution and correlation theorems in arbitrary representations with the work of Lindsey and Suter for partitioning the space of integral transforms.

关键词： Convolution Electronic filtering Integral transforms wavelets Analytical research image processing Inspection Roads signal processing

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image restoration using statistical wavelet models

Image restoration using statistical wavelet models

引用

conference on wavelets - applications in signal and image processing ix

作者： Liu, J Moulin, P Univ Illinois Beckman Inst Urbana IL 61801 USA

ISBN: (纸本)0819441929

In this paper, we propose an image restoration algorithm based on state-of-the-art wavelet domain statistical models. We present an efficient method to estimate the model parameters from the observations, and solve the restoration problem in orthonormal and translation-invariant (TI) wavelet domains. Substantial improvements over previous wavelet-based restoration methods are obtained. The use of a TI wavelet transform further enhances the restoration performance. We study the improvement from the viewpoint of Bayesian estimation theory and show that replacing an estimator with its TI version will reduce the expected risk if the signal and the degradation model are stationary.

关键词： image restoration overcomplete wavelet representation statistical modeling Bayesian risk

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Why restrict ourselves to compactly supported basis functions?

Why restrict ourselves to compactly supported basis function...

引用

conference on wavelets - applications in signal and image processing ix

作者： Unser, M Blu, T Swiss Fed Inst Technol Biomed Imaging Grp CH-1015 Lausanne Switzerland

ISBN: (纸本)0819441929

Compact support is undoubtedly one of the wavelet properties that is given the greatest weight both in theory and applications. It is usually believed to be essential for two main reasons : (1) to have fast numerical algorithms, and (2) to have good time or space localization properties. Here, we argue that this constraint is unnecessarily restrictive and that fast algorithms and good localization can also be achieved with non-compactly supported basis functions. By dropping the compact support requirement, one gains in flexibility. This opens up new perspectives such as fractional wavelets whose key parameters (order, regularity, etc...) are tunable in a continuous fashion. To make our point, we draw an analogy with the closely related task of image interpolation. This is an area where it was believed until very recently that interpolators should be designed to be compactly supported for best results. Today, there is compelling evidence that non-compactly supported interpolators (such as splines, and others) provide the best cost/performance tradeoff.

关键词： wavelets Digital filtering image processing Transform theory Wavelet transforms Control systems image interpolation Biomedical optics Finite impulse response filters Object recognition

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Embedded lossy and lossless image compression based on integer wavelet transform with hybrid zerotree and bitplane coding

Embedded lossy and lossless image compression based on integ...

引用

conference on wavelets - applications in signal and image processing ix

作者： Manzano, P Ricci, JM Ruedin, AMC Univ Buenos Aires Fac Ciencias Exactas & Nat Dept Computat Buenos Aires DF Argentina

ISBN: (纸本)0819441929

We present a coder that yields good quality images at very high compression rates. It performs embedded coding and can carry out both lossy and lossless compression, properties which are suitable for progressive transmission;It is based on an integer to integer wavelet transform, and uses augmented zerotrees with a hybrid technique that incorporates bitplane coding as well.

关键词： embedded zerotrees wavelet compression

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Fast Continuous Wavelet Transform based on B-splines

Fast Continuous Wavelet Transform based on B-splines

引用

conference on wavelets - applications in signal and image processing ix

作者： Muñoz, A Ertlé, R Unser, M Swiss Fed Inst Technol Biomed Imaging Grp CH-1015 Lausanne Switzerland

ISBN: (纸本)0819441929

The Continuous Wavelet Transform (CWT) is an effective way to analyze nonstationary signals and to localize and characterize singularities. Fast algorithms have already been developed to compute the CWT at integer time points and dyadic or integer scales. We propose here a new method that is based on a B-spline expansion of both the signal and the analysis wavelet and that allows the CWT computation at arbitrary scales. Its complexity is O(N), where N represents the size of the input signal;in other words, the cost is independent of the scale factor. Moreover;the algorithm lends itself well to a parallel implementation.

关键词： Continuous wavelet transforms wavelets Algorithm development signal analyzers Biological research Biomedical optics Evolutionary algorithms Convolution Detection and tracking algorithms Motion analysis

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Discrete wavelet transforms over finite sets: a general approach

Discrete wavelet transforms over finite sets: a general appr...

引用

conference on wavelets - applications in signal and image processing ix

作者： Kamstra, L Ctr Math & Comp Sci NL-1090 GB Amsterdam Netherlands

ISBN: (纸本)0819441929

The discrete wavelet transform was introduced as a linear operator. It works on signals that are modeled as functions from the integers into the real or complex numbers. Since many signals have finite function values, a linear discrete wavelet transform over a finite ring has been proposed recently. Another recent development is the research of nonlinear wavelet transforms triggered by the introduction of Sweldens' lifting scheme. This paper builds on these developments and defines an essentially nonlinear translation invariant discrete wavelet transform that works on signals that are functions from the integers into any finite set. As only discrete arithmetic is needed, such transforms can be calculated very time efficiently. The basic properties of these generalized discrete wavelet transforms are given along with explicit examples.

关键词： signal processing nonlinear discrete wavelet transforms over finite sets second generation wavelets perfect reconstruction filter banks

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Adaptive wavelet lifting for image retrieval

Adaptive wavelet lifting for image retrieval

引用

conference on wavelets - applications in signal and image processing ix

作者： Oonincx, P de Zeeuw, P Ctr Math & Comp Sci CWI NL-1090 GB Amsterdam Netherlands

ISBN: (纸本)0819441929

We build a feature vector that can be used for content-based image retrieval of grayscale images of objects against a background of texture. The feature vector is based on moment invariants of detail coefficients produced by the lifting scheme. The prediction filters in this scheme are chosen adaptively: low order (small stencils) near edges and high order elsewhere. The aim is to retrieve similar images of an object irrespective of translation, rotation, reflection or resizing of the object, light conditions and the background texture. We present preliminary results.

关键词： image retrieval lifting scheme moment invariants adaptive scheme affine transformations

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Fresnelets - a new wavelet basis for digital holography

Fresnelets - a new wavelet basis for digital holography

引用

conference on wavelets - applications in signal and image processing ix

作者： Liebling, M Blu, T Unser, M Swiss Fed Inst Technol Biomed Imaging Grp CH-1015 Lausanne Switzerland

ISBN: (纸本)0819441929

We present a new class of wavelet bases - Fresnelets - which is obtained by applying the Fresnel transform operator to a wavelet basis of L-2. The thus constructed wavelet family exhibits properties that are particularly useful for analyzing and processing optically generated holograms recorded on CCD-arrays. We first investigate the multiresolution properties (translation, dilation) of the Fresnel transform that are needed to construct our new wavelet. We derive a Heisenberg-like uncertainty relation that links the localization of the Fresnelets with that of the original wavelet basis. We give the explicit expression of orthogonal and semi-orthogonal Fresnelet bases corresponding to polynomial spline wavelets. We conclude that the Fresnel B-splines are particularly well suited for processing holograms because they tend to be well localized in both domains.

关键词： Fresnelets digital holography Fresnel transform B-splines wavelets

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Scattered data smoothing by empirical Bayesian shrinkage of second generation wavelet coefficients

Scattered data smoothing by empirical Bayesian shrinkage of ...

引用

conference on wavelets - applications in signal and image processing ix

作者： Jansen, M Nason, G Silverman, B Rice Univ Dept ECE Houston TX 77251 USA

ISBN: (纸本)0819441929

We propose a novel approach for scattered data smoothing based on second generation wavelets. This wavelet transform automatically adapts to the irregularity of the grid. Our implementation also pays attention to numerical stability, a crucial property in estimation procedures. The wavelet coefficients are shrunk either with simple soft-thresholding or with an empirical Bayesian estimation.

关键词： wavelets Wavelet transforms Computer graphics Numerical stability signal processing Statistical analysis Astatine Condition numbers Convolution image processing

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Approximation order/smoothness tradeoff in Hermite subdivision schemes

Approximation order/smoothness tradeoff in Hermite subdivisi...

引用

conference on wavelets - applications in signal and image processing ix

作者： Yu, TPY Rensselaer Polytech Inst Dept Math Sci Troy NY 12180 USA

ISBN: (纸本)0819441929

It is well-known to waveleticians that refinable functions exhibit subtle relationships between their approximation order and smoothness properties. We show how one can exploit this phenomenon to construct Hermite subdivision schemes with optimal smoothness but suboptimal approximation order for a given support size of the subdivision mask. The construction method considered here is based on a blend of the theory of subdivision schemes and computational techniques in non-smooth optimization. Our construction method produces schemes which are much smoother than those constructed based on optimizing approximation orders. We discuss also several interesting bivariate Hermite schemes, with appealing symmetry property, and illustrate how they can be applied to build interpolating subdivision surfaces.

关键词： subdivision schemes refinable functions wavelets Hermite subdivision subdivision surfaces interpolation

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