Medical images consist of image structures of varying scales, with different scales representing different components. For example, in cardiac images, left ventricle, myocardium and blood pool are the large scale structures, whereas infarct and noise are represented by relatively small scale structures. Thus, extracting different scales in an image i.e. multiscale image representation, is a val...

In the seminal paper E. Tadmor, S. Nezzar and L. Vese, A multiscale image representation using hierarchical \((BV, L^2)\) decompositions, Multiscale Model. Simul., 2(4), 554–579, (2004), authors introduce a decomposition model providing of given into sum scale-varying components. line with this framework, we extend approach to case registration, task which consists mapping salient features an o...

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...

In this paper, we present a novel approach that makes use of multiscale and multiphysics modeling coupled to virtual reality for nanorobotic prototyping systems. First, a CAD-assisted assembly system that integrates principles for a multiscale approach into a nanorobotics structure design is presented. Then, we focus on the different design levels, more specifically, the optimization of geometr...

The objective of this workshop was to bring together researchers working in multiscale simulations with emphasis on multigrid methods and multiscale finite element methods, aiming at chieving of better understanding and synergy between these methods. The goal of multiscale finite element methods, as upscaling methods, is to compute coarse scale solutions of the underlying equations as accuratel...

A multiscale modeling methodology that combines the predictive capability of discrete dislocation plasticity and the computational efficiency of continuum crystal plasticity is developed. Single crystal configurations of different grain sizes modeled with periodic boundary conditions are analyzed using discrete dislocation plasticity (DD) to obtain grain size-dependent stress-strain predictions...

Textures often show multiscale properties and hence multiscale techniques are considered useful for texture analysis. Scale-space theory as a biologically motivated approach may be used to construct multiscale textures. In this paper various ways are studied to combine features on different scales for texture classification of small image patches. We use the N-jet of derivatives up to the secon...

Multiscale simulations model phenomena across natural scales using monolithic or component-based code, running on local or distributed resources. In this work, we investigate the performance of distributed multiscale computing of component-based models, guided by six multiscale applications with different characteristics and from several disciplines. Three modes of distributed multiscale comput...

For regularly spaced one-dimensional data, wavelet shrinkage has proven to be a compelling method for nonparametric function estimation. We create three new multiscale methods that provide waveletlike transforms for both data arising on graphs and for irregularly spaced spatial data in more than one dimension. The concept of scale still exists within these transforms but as a continuous quantit...