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A Shift-Invariant Multiscale Multidirection Image Decomposition
2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings, 2006This paper presents a shift-invariant complex directional pyramid transform constructed by a dual-tree pyramidal directional filter banks (DFB). The double filter bank framework consists of a shift-invariant Laplacian pyramid and a dual-tree DFB. The two binary tree structure for the (primal and dual) DFBs employed in the structure are identical except
Truong T. Nguyen, Soontorn Oraintara
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The long-term memory prediction by multiscale decomposition
Signal Processing, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Skander Soltani +3 more
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Multiscale local polynomial decompositions using bandwidths as scales
Statistics and Computing, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maarten Jansen, Mohamed Amghar
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Numerical Homogenization of Elliptic Multiscale Problems by Subspace Decomposition
Multiscale Modeling & Simulation, 2016Summary: Numerical homogenization tries to approximate solutions of elliptic partial differential equations with strongly oscillating coefficients by the solution of localized problems over small subregions. We develop and analyze a rapidly convergent iterative method for numerical homogenization that shares this feature with existing approaches and is
Ralf Kornhuber, Harry Yserentant
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Decomposition-based multiscale compressed sensing
2018 International Workshop on Advanced Image Technology (IWAIT), 2018This paper proposes a generalized decomposition-based measurement matrix (DMM) to capture multi-scale compressive measurements. In the proposed method, we linearly decompose the sensing image to various scales, and then adaptively sample it at each scale to capture essential information. The restricted isometric property of DMM is proven for structured
Thuong Nguyen Canh +2 more
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Discrete multiscale vector field decomposition
ACM SIGGRAPH 2003 Papers, 2003While 2D and 3D vector fields are ubiquitous in computational sciences, their use in graphics is often limited to regular grids, where computations are easily handled through finite-difference methods. In this paper, we propose a set of simple and accurate tools for the analysis of 3D discrete vector fields on arbitrary tetrahedral grids.
Tong, Yiying +3 more
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Domain Decomposition Methods for Multiscale Modeling
2018Domain decomposition methods (DDM), which originate from the Schwarz alternating method to solve elliptic partial different equations, are largely extended and prove to have increasing influences on multiscale modeling of materials. We discuss some of the important extensions of the DDM in the fields of multiscale modeling for soft materials such as ...
Xin Bian, Matej Praprotnik
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An A Posteriori Analysis of Multiscale Operator Decomposition
2010We analyze an operator decomposition time integration method for systems of ordinary differential equations that present significantly different scales within the components of the model. Using adjoint formulation of the problems, we derive an a posteriori error analysis for the average error over certain time interval as quantity of interest.
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