Multiresolution analysis

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A multiresolution analysis (MRA) or multiscale approximation (MSA) is the design method of most of the practically relevant discrete wavelet transforms (DWT) and the justification for the algorithm of the fast wavelet transform (FWT). It was introduced in this context in 1988/89 by Stephane Mallat and Yves Meyer and has predecessors in the microlocal analysis in the theory of differential equations and the pyramid methods of image processing as introduced in 1981/83 by Peter J. (Wikipedia.org)






Conferences related to Multiresolution analysis

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ICC 2021 - IEEE International Conference on Communications

IEEE ICC is one of the two flagship IEEE conferences in the field of communications; Montreal is to host this conference in 2021. Each annual IEEE ICC conference typically attracts approximately 1,500-2,000 attendees, and will present over 1,000 research works over its duration. As well as being an opportunity to share pioneering research ideas and developments, the conference is also an excellent networking and publicity event, giving the opportunity for businesses and clients to link together, and presenting the scope for companies to publicize themselves and their products among the leaders of communications industries from all over the world.


2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting

The joint meeting is intended to provide an international forum for the exchange of information on state of the art research in the area of antennas and propagation, electromagnetic engineering and radio science


2020 42nd Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC)

The conference program will consist of plenary lectures, symposia, workshops and invitedsessions of the latest significant findings and developments in all the major fields of biomedical engineering.Submitted papers will be peer reviewed. Accepted high quality papers will be presented in oral and postersessions, will appear in the Conference Proceedings and will be indexed in PubMed/MEDLINE


2020 59th IEEE Conference on Decision and Control (CDC)

The CDC is the premier conference dedicated to the advancement of the theory and practice of systems and control. The CDC annually brings together an international community of researchers and practitioners in the field of automatic control to discuss new research results, perspectives on future developments, and innovative applications relevant to decision making, automatic control, and related areas.


2020 IEEE International Conference on Image Processing (ICIP)

The International Conference on Image Processing (ICIP), sponsored by the IEEE SignalProcessing Society, is the premier forum for the presentation of technological advances andresearch results in the fields of theoretical, experimental, and applied image and videoprocessing. ICIP 2020, the 27th in the series that has been held annually since 1994, bringstogether leading engineers and scientists in image and video processing from around the world.


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Aerospace and Electronic Systems Magazine, IEEE

The IEEE Aerospace and Electronic Systems Magazine publishes articles concerned with the various aspects of systems for space, air, ocean, or ground environments.


Antennas and Propagation, IEEE Transactions on

Experimental and theoretical advances in antennas including design and development, and in the propagation of electromagnetic waves including scattering, diffraction and interaction with continuous media; and applications pertinent to antennas and propagation, such as remote sensing, applied optics, and millimeter and submillimeter wave techniques.


Biomedical Engineering, IEEE Transactions on

Broad coverage of concepts and methods of the physical and engineering sciences applied in biology and medicine, ranging from formalized mathematical theory through experimental science and technological development to practical clinical applications.


Broadcasting, IEEE Transactions on

Broadcast technology, including devices, equipment, techniques, and systems related to broadcast technology, including the production, distribution, transmission, and propagation aspects.


Circuits and Systems for Video Technology, IEEE Transactions on

Video A/D and D/A, display technology, image analysis and processing, video signal characterization and representation, video compression techniques and signal processing, multidimensional filters and transforms, analog video signal processing, neural networks for video applications, nonlinear video signal processing, video storage and retrieval, computer vision, packet video, high-speed real-time circuits, VLSI architecture and implementation for video technology, multiprocessor systems--hardware and software-- ...


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Xplore Articles related to Multiresolution analysis

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Multiresolution analysis using orthogonal polynomial approximation

1996 8th European Signal Processing Conference (EUSIPCO 1996), 1996

Multiresolution decomposition of signals has been conventionally carried out by the wavelet representation. In this paper, the orthogonal polynomial approximation has been employed for multiresolution analysis. It is demonstrated that the proposed technique based on polynomial approximation has certain distinct advantages over the conventional method employing wavelet representation.


A new image watermarking scheme based on DWT and ICA

International Conference on Neural Networks and Signal Processing, 2003. Proceedings of the 2003, 2003

This paper proposes a scheme of digital image watermarking based on the combination of discrete wavelet transform (DWT) and independent components analysis (ICA). Firstly, the original image is decomposed by DWT, and then the approximate sub-image of the original image is mixed with the watermark directly. The scheme can embed all the information of watermark into the image, and can ...


Current-mode high-frequency wavelet filter based on leap-frog multiple-loop feedback structure

2013 IEEE 56th International Midwest Symposium on Circuits and Systems (MWSCAS), 2013

A method is proposed to realize high-frequency wavelet transform in analogue filter by employing Gm-C circuits and current-mode leap-frog multiple loop feedback structure in this paper. Also, to enhance the performance, the fully differential Nauta transconductor is utilized as the Gm cell in the design. The Marr wavelet is used as an example, with the design procedure illustrated. Using standard ...


ECG noise removal and QRS complex detection using UWT

2010 International Conference on Electronics and Information Engineering, 2010

The electrocardiogram (ECG) is widely used for diagnosis of heart diseases. Generally, the recorded ECG signal is often contaminated by noise. In order to extract useful information from the noisy ECG signals, the raw ECG signals has to be processed. The baseline wandering is significant and can strongly affect ECG signal analysis. The detection of QRS complexes in an ECG ...


Image threshold segmentation method with 2-D histogram based on multi-resolution analysis

2009 4th International Conference on Computer Science & Education, 2009

This paper proposed an auto-adaptive threshold method of two-dimensional (2-D) histogram based on multi-resolution analysis (MRA), decreasing the calculation complexity of 2-D histogram whereas improving the searching precision of multi-resolution threshold method. Such method originates from the extraordinary segmentation effects achieved by 2-D histogram threshold segmentation method through the spatial correlation of gray level and the flexibility as well as ...


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Educational Resources on Multiresolution analysis

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IEEE-USA E-Books

  • Multiresolution analysis using orthogonal polynomial approximation

    Multiresolution decomposition of signals has been conventionally carried out by the wavelet representation. In this paper, the orthogonal polynomial approximation has been employed for multiresolution analysis. It is demonstrated that the proposed technique based on polynomial approximation has certain distinct advantages over the conventional method employing wavelet representation.

  • A new image watermarking scheme based on DWT and ICA

    This paper proposes a scheme of digital image watermarking based on the combination of discrete wavelet transform (DWT) and independent components analysis (ICA). Firstly, the original image is decomposed by DWT, and then the approximate sub-image of the original image is mixed with the watermark directly. The scheme can embed all the information of watermark into the image, and can also extract all the characteristic information of the watermark by using ICA. The simulation results demonstrate that this scheme with high robustness.

  • Current-mode high-frequency wavelet filter based on leap-frog multiple-loop feedback structure

    A method is proposed to realize high-frequency wavelet transform in analogue filter by employing Gm-C circuits and current-mode leap-frog multiple loop feedback structure in this paper. Also, to enhance the performance, the fully differential Nauta transconductor is utilized as the Gm cell in the design. The Marr wavelet is used as an example, with the design procedure illustrated. Using standard TSMC 0.18μm CMOS process, simulation results show that the center frequency of the Marr wavelet filter ranges from 63MHz to 142MHz by tuning supply voltage. The total power consumption is 69mW at 100MHz.

  • ECG noise removal and QRS complex detection using UWT

    The electrocardiogram (ECG) is widely used for diagnosis of heart diseases. Generally, the recorded ECG signal is often contaminated by noise. In order to extract useful information from the noisy ECG signals, the raw ECG signals has to be processed. The baseline wandering is significant and can strongly affect ECG signal analysis. The detection of QRS complexes in an ECG signal provides information about the heart rate, the conduction velocity, the condition of tissues within the heart as well as various abnormalities. It supplies evidence for the diagnosis of cardiac diseases. The signal denoising can be done by Discrete Wavelet Transforms but the results obtained from it are not optimal mainly due to the loss of the invariant translation property. This takes us to the Undecimated Wavelet Transform(UWT) which has invariant translation characteristic, better capacity to reduce noise and better peak detection. In this study, we propose an effective technique for the denoising of ECG signals corrupted by nonstationary noises using UWT, which is implemented with Laboratory Virtual Instrumentation Engineering Workbench (LabVIEW) platform.

  • Image threshold segmentation method with 2-D histogram based on multi-resolution analysis

    This paper proposed an auto-adaptive threshold method of two-dimensional (2-D) histogram based on multi-resolution analysis (MRA), decreasing the calculation complexity of 2-D histogram whereas improving the searching precision of multi-resolution threshold method. Such method originates from the extraordinary segmentation effects achieved by 2-D histogram threshold segmentation method through the spatial correlation of gray level and the flexibility as well as efficiency of the threshold searching of multi- resolution threshold segmentation method. Experiments results demonstrated that such method can obtain segmentation results similar with the exhaustive 2-D histogram method, whereas the calculation complexity decreases exponentially with the increase of resolution level.

  • Active character recognition using "A*-like" algorithm

    This paper describes an Active Character Recognition methodology, henceforth referred to as ACR. We present in this paper a method that uses an active heuristic function similar to the one used by A* search algorithm that adaptively determines the length of the feature vector as well as the features themselves used to classify an input pattern. ACR adapts to factors such as the quality of the input pattern, its intrinsic similarities and differences from patterns of other classes it is being compared against and the processing time available. Furthermore, the finer resolution is accorded to only certain "zones" of the input pattern which are deemed important given the classes that are being discriminated. Experimental results support the methodology presented. Recognition rate of ACR is about 96% on the NIST data sets and the speed is better than traditional classification methods.

  • New Method of Horizon Recognition in Seismic Data

    Horizon recognition is a valuable tool in the interpretation of seismic data. In this letter, we present a new method which uses the combination of horizontal derivative and mathematical morphology to identify horizons. We first use a threshold value to filter the horizontal derivative of seismic data and then use the ratio of the erosion of the filtered derivative to the dilation of the filtered derivative to balance the amplitudes of strong and weak horizons. Finally, we move the strong amplitude to the position of the actual horizon. This method is demonstrated on both synthetic and real data. The resolving power of the new method is evaluated by comparing the results with those obtained by other similar methods. The new method can display the horizons more clearly.

  • The characterization of compact support of fourier transform for scaling function of L<sup>2</sup>(R<sup>s</sup>)

    In this paper, under weaker condition, we give the sufficient and necessary condition that phi(x) is a scaling function of L2(RS), we give results of the whole support of wavelets, these results are characterized by some equalities and inequalities. We have improved completely Long's results.

  • Multiresolution automatic segmentation of T1-weighted brain MR images

    Automatic segmentation of brain tissues is crucial to many medical imaging applications. We use a multi-resolution analysis and a power transform to extend the well-known Gaussian mixture model expectation maximization based algorithm for segmentation of white matter, gray matter, and cerebrospinal fluid from T1-weighted magnetic resonance images (MRI) of the brain. Experimental results with near 4000 synthetic and real images are included. The results illustrate that the proposed method outperforms six existing methods.

  • The characteristics of a class of biorthogonal bivariable wavelet packets

    Wavelet analysis is a popular subject in science research. In this paper, the notion of univariate orthogonal wavelet packets is generalized. The definition of biorthogonal nonseparable bivariate wavelet packets is given and a procedure for constructing them is presented. Next, the biorthogonality property of biorthogonal bivariate wavelet packets is investigated.



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