It is now widely recognized that landscapes are complex systems composed of multiscale hierarchically organized entities that interact within unique spatial and temporal scales. These interactions result in scale-dependent spatial patterns that visually change, depending upon their scale of observation. Remote sensing platforms represent the primary data source from which such landscape pattern...

One of the most significant challenges faced by hydrogeologic modelers is the disparity between the spatial and temporal scales at which fundamental flow, transport, and reaction processes can best be understood and quantified (e.g., microscopic to pore scales and seconds to days) and at which practical model predictions are needed (e.g., plume to aquifer scales and years to centuries). While t...

Quantifying how patterns of behavior relate across multiple levels of measurement typically requires long time series for reliable parameter estimation. We describe a novel analysis that estimates patterns of variability across multiple scales of analysis suitable for time series of short duration. The multiscale coefficient of variation (MSCV) measures the distance between local coefficient of...

U O Q U A N T Fraction of surface atoms in contact, A /A f i c  Friction proportional to Ac and Ac proportional to load L for rough surfaces  Flat surfaces in complete contact at any load Molecular Simulations Differ on Applicability of Macroscopic Results at Atomic Scales friction and adhesion in macroscopic models  Results for flat surfaces can be mapped directly to other geometries usi...

Since interactions in neural systems occur across multiple temporal scales, it is likely that information flow will exhibit a multiscale structure, thus requiring a multiscale generalization of classical temporal precedence causality analysis like Granger’s approach. However, the computation of multiscale measures of information dynamics is complicated by theoretical and practical issues such a...

Large data sets arise in a wide variety of applications and are often modeled as samples from a probability distribution in high-dimensional space. It is sometimes assumed that the support of such probability distribution is well approximated by a set of low intrinsic dimension, perhaps even a lowdimensional smooth manifold. Samples are often corrupted by high-dimensional noise. We are interest...

Jianwei Ma, M. Yousuff Hussaini, Oleg V. Vasilyev, and Francois-Xavier Le Dimet School of Aerospace, Tsinghua University, Beijing 100084, China School of Computational Science, Florida State University, Tallahassee, Florida 32306, USA Department of Mechanical Engineering, University of Colorado, Boulder, Colorado 80309, USA Laboratory Jean-Kuntzman, Université de Grenoble and INRIA, BP 53, 3804...

This chapter is about objective image quality assessment (IQA), which has been recognized as an effective and efficient way to predict the visual quality of distorted images. Basically, IQA has three different dependent degrees on original images, namely, full-reference (FR), noreference (NR), and reduced-reference (RR). To begin with, the fundamentals of IQA are introduced and a broad treatmen...

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Bones are composed of hierarchical bio-composite materials characterized by complex multiscale structural geometry and behavior. The architecture and the mechanical properties of bone tissue differ at each level of hierarchy. Thus, a multiscale approach for mechanical analysis of bone is imperative. This paper proposes a new approach for 3D multiscale finite element analysis of trabecular bone ...