The aim of this paper is to construct a model which decomposes a 3D image into two components: the first one containing the geometrical structure of the image, the second one containing the noise. The proposed method is based on a second order variational model and an undecimated wavelet thresholding operator. The numerical implementation is described, and some experiments for denoising a 3D MR...

In an industrial context, most manufactured objects are designed using CAD (Computer-Aided Design) software. For visualization, data exchange or manufacturing applications, the geometric model has to be discretized into a 3Dmesh composed of a finite number of vertices and edges. However, the initial model may sometimes be lost or unavailable. In other cases, the 3D discrete representationmay be...

In this paper, we present a 3D lattice Boltzmann BGK model for simulation of micro ows with heat transfer. This model is an extension of the two-dimensional model that is based on the kinetic theory and the thermal lattice Boltzmann method. The kinetic relations of the relaxation times in this model were linked with the Knudsen number, and a di use scattering boundary condition for the velocity...

This manuscript gives an overview of a new framework for modelling multi-component, mesh-like structures such as cardiovascular (endovascular) stents. By using dimension reduction and multi-scale approaches, a metallic, multi-component, mesh-like structure is described by a mathematical model which is in the form of a hyperbolic net problem. This contrasts classical approaches in bioengineering...

We present experimental and numerical studies of localized terahertz surface waves on a subwavelength-thick metamaterial film consisting of in-plane split-ring resonators. A simple and intuitive model is derived that describes the propagation of surface waves as guided modes in a waveguide filled with a Lorentz-like medium. The effective medium model allows us to deduce the dispersion relation ...