Topic
Multiresolution analysis
About: Multiresolution analysis is a research topic. Over the lifetime, 4032 publications have been published within this topic receiving 140743 citations. The topic is also known as: Multiresolution analysis, MRA.
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TL;DR: In this article, a disturbance classification technique based on wavelet multi-resolution analysis is presented, which extracts features from signals monitored on both DC and AC sides of the HVDC system.
Abstract: The paper presents a disturbance classification technique based on wavelet multi-resolution analysis. The wavelet multi-resolution transform is introduced as a tool for providing discriminative, translation-invariant features with small dimensions to classify different disturbances in an HVDC transmission system. The proposed method extracts features from signals monitored on both DC and AC sides of the HVDC system. It is shown that monitored signals show promising features that can classify different disturbances that may occur anywhere in the HVDC system.
54 citations
TL;DR: In this article, a non-intrusive method of two-phase flow identification is investigated based on image processing of data obtained partly from dynamic neutron radiography recordings of real twophase flow in a heated metal channel, and partly by visible light from a two-component mixture of water and air.
54 citations
TL;DR: A rapid image completion system comprising a training process and an image completion process that adopts a multiresolution approach, which not only improves the convergence rate of the synthesis process, but also provides the ability to deal with large replaced regions.
Abstract: This study presents a rapid image completion system comprising a training (or analysis) process and an image completion (or synthesis) process. The proposed system adopts a multiresolution approach, which not only improves the convergence rate of the synthesis process, but also provides the ability to deal with large replaced regions. In the training process, a down-sampling approach is applied to create a patch-based texture eigenspace based on multiresolution background region information. In the image completion process, an up-sampling approach is applied to synthesize the replaced foreground regions. To ensure the continuity of the geometric texture structure between the original background scene regions and the replaced foreground regions, directional and nondirectional image completion approaches are developed to reconstruct the global geometric structure and to enhance the local detailed features of the replaced foreground regions in the lower and higher resolution level images, respectively. Moreover, the synthesis priority order of the individual patches and the appropriate choice of completion scheme (i.e., directional or nondirectional) are both determined in accordance with a Hessian matrix decision value (HMDV) parameter. Finally, a texture refinement process is performed to optimize the resolution of the synthesized result.
54 citations
TL;DR: The resulting method of moments (MoM) impedance matrix shows a good conditioning, that allows its safe sparsification and the efficient use of iterative methods for the solution of the linear system.
Abstract: A new approach is presented for the integral equation analysis of multilayer printed circuits, antennas and arrays. It is based on the introduction of new multiresolution vector functions with properties similar to those of the scalar wavelets, and flexible enough to accommodate for general shapes. The resulting method of moments (MoM) impedance matrix shows a good conditioning, that allows its safe sparsification and the efficient use of iterative methods for the solution of the linear system. The results of the analysis of various real-life structures show the advantage of the method.
54 citations
TL;DR: In this paper, the problem of reconstruction of nonlinearities in a certain class of non-linear systems of composite structure from their input-output observations when prior information about the system is poor, thus excluding the standard parametric approach to the problem is considered.
Abstract: The paper deals with the problem of reconstruction of nonlinearities in a certain class of nonlinear systems of composite structure from their input-output observations when prior information about the system is poor, thus excluding the standard parametric approach to the problem. The multiresolution idea, being the fundamental concept of modern wavelet theory, is adopted, and the Haar multiresolution analysis in particular is applied to construct nonparametric identification techniques of nonlinear characteristics. The pointwise convergence properties of the proposed identification algorithms are established. Conditions for the convergence are given; and for nonlinearities satisfying a local Lipschitz condition, the rate of convergence is evaluated, With applications in mind, the problem of data-driven selection of the optimum resolution degree in the identification procedure, essential for the multiresolution analysis, is considered as well. The theory is verified by computer simulations.
54 citations