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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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Computational complexity in space based optical systems

Computational complexity in space based optical systems

引用

conference on wavelet applications vii

作者： Lyon, RG Dorband, JE Hollis, JM NASA Goddard Space Flight Ctr Greenbelt MD 20771 USA

ISBN: (纸本)0819436828

Future space based imaging systems require increasingly larger aperture sizes to keep pace with the demand for higher spatial resolution for both Earth and Space sciences missions. The cost and weight becomes increasingly prohibitive for telescopes and instruments with apertures greater than 1 meter. A number of solutions are possible and are under investigation;these include: deployable segmented aperture systems, sparse aperture systems, interferometric imaging systems, computational deconvolution and superresolution techniques. The commonality of these techniques lies in increased reliance on sophisticated computational and information theoretic techniques. We give an overview of the complex optical and image processing techniques required for such systems to become operational.

关键词： Space telescopes Imaging systems image segmentation Telescopes Mirrors Point spread functions image quality Control systems Optical transfer functions Interferometry

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Hybrid Technique for Robust image Watermarking Using Discrete Time Fourier Transform 25

Hybrid Technique for Robust Image Watermarking Using Discret...

引用

25th signal processing and Communications applications conference (SIU)

作者： Abodena, Omar Agoyi, Mary Celebi, Erbug Cyprus Int Univ Inst Grad Studies & Res Dept Management Informat Syst Via Mersin 10 Lefkosa Kktc Turkey Cyprus Int Univ Fac Engn Dept Comp Engn Via Mersin 10 Lefkosa Kktc Turkey

ISBN: (纸本)9781509064946

The current paper proposes a novel scheme for nonblind watermarking of images, making use of discrete wavelet transform (DWT), discrete time Fourier transform (DTFT), as well as singular value decomposition, or SVD. During the process of embedding, 1-level DWT is used to decompose the host image into its various frequency sub-bands. After this, the high-frequency sub band receives an application of DTFT. This is followed then by SVD, after which the watermark becomes embedded into the nowtransformed host image's singular matrix. Then, the inverses of 1-level DWT, DTFT and SVD are applied in order to obtain a watermarked final image. This paper evaluates the performance of the proposed method of watermarking against a number of attacks, including sharpening, salt and pepper noise, AWGN, gamma correction, histogram equalisation, flipping and cropping. Results obtained during experiments have found that the scheme as proposed does provide high levels of robustness and imperceptibility against various signal processing attacks.

关键词： singular value decomposition discrete wavelet transform discrete time Fourier transform

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Motion estimation using complex wavelets

Motion estimation using complex wavelets

引用

4th conference on wavelet applications in signal and image processing

作者： Magarey, J Kingsbury, N UNIV CAMBRIDGE DEPT ENGNSIGNAL PROC & COMMUN LABCAMBRIDGE CB2 1TNENGLAND

ISBN: (纸本)0819422134

This paper describes a new wavelet-based approach to the motion estimation problem for digital video. A complex- valued discrete wavelet transform is used to decompose each frame into a subsampled directionally bandpass filtered hierarchy. The transform is defined so that at each level there is an approximate correspondence between local translation and coefficient phase shift. This relationship is used to estimate motion with each orientation subband. The estimates are combined over all orientations and scales using a coarse-to-fine refinement strategy to produce a fractional-pel accurate motion field with a directional confidence measure. The technique is suitable for video compression schemes and can also be used for stereo vision and image registration.

关键词： motion estimation wavelets multiresolution phase matching

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Proceedings of SPIE-IS and T Electronic Imaging - wavelet applications in Industrial processing vii

Proceedings of SPIE-IS and T Electronic Imaging - Wavelet Ap...

引用

wavelet applications in Industrial processing vii

ISBN: (纸本)9780819479280

The proceedings contain 14 papers. The topics discussed include: Kolmogorov superposition theorem and wavelets for image compression;lossless compression of 3D seismic data using a horizon displacement compensated 3D lifting scheme;performances comparison of pulse pair and wavelets methods for the pulse Doppler weather radar spectrum;adaptive edge orientation analysis;singularity detection by wavelet approach: application to electrocardiogram signal;minimum Sobolev norm schemes and applications in image processing;wavelet packets for multi- and hyper-spectral imagery;an evidence segmentation scheme for asthma detection using a priori wavelet respiratory sound information;wavelet-based blotch restoration exploiting interscale dependency;empirical modal decomposition applied to cardiac signals analysis;speeding-up the hybrid video watermarking techniques in the DWT domain;and Laguerre Gauss analysis for image retrieval based on color texture.

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Multiple, arbitrary shape ROI coding with zerotree based wavelet coders

Multiple, arbitrary shape ROI coding with zerotree based wav...

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IEEE International conference on Acoustics, Speech, and signal processing

作者： Cuhadar, A Tasdoken, S Carleton Univ Dept Syst & Comp Engn Ottawa ON K1S 5B6 Canada

ISBN: (纸本)0780376633

Region-based video coding schemes employed in MPEG-4 is also promising for still image coding applications where images contain a number of objects that can be encoded at different bit rates, such as compression of medical images for archiving and tranmission. Motivated by this fact, in this paper we investigate multi-region and multi-quality (MRMQ) coding based on zerotree wavelet coders. We present a novel scheme which addresses the region size sensitivity problem in region-based coding. The proposed method outperforms the region of interest (ROI) coding unit of JPEG2000, i.e., it is possible to save 0.3 bits per pixel to attain the same ROI/background rate-distortion performance with the proposed MRMQ coding scheme.

关键词： image coding

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Method for real-time signal processing via wavelet transform

Method for real-time signal processing via wavelet transform

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International conference on Non-Linear Speech processing

作者： Rajmic, P Brno Univ Technol Fac Elect Engn & Commun Technol Dept Telecommun Brno 61200 Czech Republic

ISBN: (纸本)3540312579

The new method of segmented wavelet transform (SegWT) makes it possible to compute the discrete-time wavelet transform of a signal segment-by-segment. This means that the method could be utilized for wavelet-type processing of a signal in "real time", or in case we need to process a long signal (not necessarily in real time), but there is insufficient computational memory capacity for it (for example in the signal processors). Then it is possible to process the signal part-by-part with low memory costs by the new method. The method is suitable also for the speech processing, e.g. denoising the speech signal via thresholding the wavelet coefficients or speech coding. In the paper, the principle of the segmented forward wavelet transform is explained and the algorithm is described in detail.

关键词： Real time systems

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Performance analysis of wavelets in embedded zerotree-based lossless image coding schemes

Performance analysis of wavelets in embedded zerotree-based ...

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International conference on image processing

作者： Ramaswamy, VN Namuduri, KR Ranganathan, N Univ of South Florida Tampa United States

ISBN: (纸本)0818681837

The framework for image coding system based on embedded zerotrees consists three stages: (i) wavelet transform (ii) an embedded zerotree encoding and (iii) adaptive arithmetic encoding. In this framework, the selection of wavelet filter becomes an important issue. In this paper, we present a modification to the scanning approach in the set partitioning algorithm proposed in [3] to exploit the correlation in a local neighborhood. Two new criteria are proposed for evaluating the performance of wavelets in lossless image compression applications: zero tree count and monotone spectral ordering of subbands produced after wavelet transform in a multiresolution scheme. We evaluate several wavelet filters to test the evaluation criteria and present experimental results to justify the proposed performance criteria.

关键词： wavelets wavelet filter lossless image coding evaluation criterion wavelet transforms embedding Performance metrics Frameworks region of an image image invariant image dilation lossless compression lossless image compression

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Three-dimensional audio localization using wavelet-domain convolution

Three-dimensional audio localization using wavelet-domain co...

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wavelets - applications in signal and image processing X conference

作者： Hubbard, PF Umland, KL Pereyra, MC Caudell, TP Univ New Mexico Dept Elect & Comp Engn Albuquerque NM 87131 USA

ISBN: (纸本)0819450804

This paper describes a new approach for creating compelling virtual acoustic environments by synthesizing and three-dimensionally localizing sounds within the wavelet-domain. A prototype system was developed that combines wavelet-domain convolution for localization with Miner's(1) new method for synthesizing parametrically controlled sounds. Results are presented and discussed, with suggestions as to directions of further interest.

关键词： Convolution wavelets MATLAB Virtual reality wavelet transforms Fourier transforms Prototyping Acoustics Computer engineering Mathematics

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New image Quality Measure Based on wavelets

New Image Quality Measure Based on Wavelets

引用

conference on wavelet applications in Industrial processing VI

作者： Dumic, Emil Grgic, Sonja Grgic, Mislav Univ Zagreb Fac Elect Engn & Comp Dept Wireless Commun HR-10000 Zagreb Croatia

ISBN: (纸本)9780819474988

In our paper we present innovative approach to objective quality evaluation that could be computed using mean difference between original and tested image in different wavelet subbands. DWT subband decomposition properties are similar to human visual system (HVS) characteristics facilitating integration of DWT into image quality evaluation. DWT decomposition is done with multiresolution analysis of a signal that allows us to decompose a signal into approximation and detail subbands. DWT coefficients were computed using reverse biorthogonal spline wavelet filter banks. Coefficients for HH subband in level 2 are used to compute new image quality measure (IQM). IQM is defined as difference between HH level 2 coefficients of original and degraded image.

关键词： Discrete wavelet transform MSE SSIM PSNR image quality measure DMOS

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