We introduce a new multiscale Gaussian beam method for the numerical solution of the wave equation with smooth variable coefficients. The first computational question addressed in this paper is how to generate a Gaussian beam representation from general initial conditions for the wave equation. We propose fast multiscale Gaussian wavepacket transforms and introduce a highly efficient algorithm ...

A method for enhancing the contrast of gray scale images using multiscale mathematical morphology is presented in this paper. The conventional theoretical concept of enhancing image has been extended from mathematical morphology to multiscale mathematical morphological approach. Gray scale images sometimes suffer from lack of contrast. So to enhance image efficiently a multiscale top hat transf...

This paper presents a multiscale approach to efficiently compute approximate optimal transport plans between point sets. It is particularly well-suited for point sets that are in high-dimensions, but are close to being intrinsically low-dimensional. The approach is based on an adaptive multiscale decomposition of the point sets. The multiscale decomposition yields a sequence of optimal transpor...

In this paper, we present a new class of nonlinear cell-average multiscale signal representations. After having introduced the general multiscale framework, we recall convergence and stability results for such multiscale representations and then build a particular example which appears to be relevant for piecewise smooth functions denoising. & 2012 Elsevier B.V. All rights reserved.

In this paper, we consider the numerical solution of poroelasticity problems that are of Biot type and develop a general algorithm for solving coupled systems. We discuss the challenges associated with mechanics and flow problems in heterogeneous media. The two primary issues being the multiscale nature of the media and the solutions of the fluid and mechanics variables traditionally developed ...

The authors represent the standard ramp filter operator of the filtered-back-projection (FBP) reconstruction in different bases composed of Haar and Daubechies compactly supported wavelets. The resulting multiscale representation of the ramp-filter matrix operator is approximately diagonal. The accuracy of this diagonal approximation becomes better as wavelets with larger numbers of vanishing m...

Quantifying complexity from heart rate variability (HRV) series is a challenging task, and multiscale entropy (MSE), along with its variants, has been demonstrated to be one of the most robust approaches to achieve this goal. Although physical training is known to be beneficial, there is little information about the long-term complexity changes induced by the physical conditioning. The present ...

The production of multiscale architectures is of significant interest in materials science, and the integration of those structures could provide a breakthrough for various applications. Here we report a simple yet versatile strategy that allows for the LEGO-like integrations of microscale membranes by quantitatively controlling the oxygen inhibition effects of ultraviolet-curable materials, le...

Multiscale methods can in many cases be viewed as special types of domain decomposition preconditioners. The localisation approximations introduced within the multiscale framework are dependent upon both the heterogeneity of the reservoir and the structure of the computational grid. While previous works on multiscale control volume methods have focused on heterogeneous elliptic problems on regu...

This paper describes applications of molecular simulation to microelectronics processes and the subsequent development of techniques for ultiscale simulation and multiscale systems engineering. The progression of the applications of simulation in the semiconductor industry from acroscopic to molecular to multiscale is reviewed. Multiscale systems are presented as an approach that incorporates m...