the fusion of medical images is very useful for clinical application. generally, the pet image indicates the function of tissue and the mri image shows the anatomy of tissue. in this article we fused mri and pet images and the purpose is adding structural information from mri to pet image. the images decomposed with curvelet transform, and then two images fused with applying fusion rules. we us...

in the present study, modelling and vibration analysis of carbon nanotubes/ fiber/ polymer composite microplates are investigated. the governing equations of the carbon nanotubes/ fiber/ polymer composite microplates are derived based on first order shear deformation plate theory, rather than other plate theories, due to accuracy and simplicity of polynomial functions. the modified couple stres...

In a recent paper, we have proposed a novel theory that extends connectivity to a multiscale framework. Although we have presented several examples, we have not provided a systematic approach for constructing multiscale connectivities. In this paper, we introduce three general techniques for constructing multiscale connectivities. The first two start from a given base connectivity and produce m...

The tensile properties of multiscale, hybrid, thermoplastic-based nanocomposites reinforced with nano-CaCO3 particles and micro–short glass fibers (SGF) were predicted by a two-step, three-dimensionalmodel using ANSYS finite element (FE) software. Cylindrical and cuboid representative volume elements were generated to obtain the effective behavior of the multiscale hybrid composites. In the fir...

In this paper a new multiscale modeling technique is proposed. It relies on a recently introduced measure-theoretic approach, which allows one to manage the microscopic and the macroscopic scale under a unique framework. In the resulting coupled model the two scales coexist and share information. This way it is possible to perform numerical simulations in which the trajectories and the density ...

In the first ‘Wavelets and Statistics’ conference proceedings 1, our group published ‘Wavelab and Reproducible Research’, in which we advocated using the internet for publication of software and data so that research results could be duplicated by others. Much has happened in the last decade that bears on the notion of reproducibility, and we will review our experience. We will also describe a ...

We perform a systematic multiscale analysis for the 2-D incompressible Euler equation with rapidly oscillating initial data using a Lagrangian approach. The Lagrangian formulation enables us to capture the propagation of the multiscale solution in a natural way. By making an appropriate multiscale expansion in the vorticity-stream function formulation, we derive a well-posed homogenized equatio...

study of the potential fields at different altitudes, constituting a multiscale field is a class of interpretative methods which are used to approximate depth and geometry of sources. interpretation of potential fields by this class of methods is mainly based on the recognition that the gravity or magnetic fields, generated by ideal sources (point mass, line of mass, sheet and contact) are homo...

Multiscale modelling is now widely regarded as a promising and powerful tool in various disciplines, including the broad area of process engineering. However, a multiscale model is usually much more difficult to develop than a single-scale model due to a range of conceptual, numerical, and software challenges. Currently, there is little support developed to facilitate multiscale modelling. This...

A finite element model based on the layerwise theory is developed for the analysis of transverse cracking in cross-ply laminated beams. The numerical model is developed using the layerwise theory of Reddy, and the von Kármán type nonlinear strain field is adopted to accommodate the moderately large rotations of the beam. The finite element beam model is verified by comparing the present numeric...