We propose a method for efficiently coupling the finite element method with atomistic simulations, while using molecular dynamics or kinetic Monte Carlo techniques. Our method can dynamically build an optimized unstructured mesh that follows the geometry defined by atomistic data. On this mesh, different multiphysics problems can be solved to obtain distributions of physical quantities of inter...

A novel method for surface reconstruction from an unorganized point set is presented. An energy functional based on a weighted minimal surface model is proposed for surface reconstruction, which is efficiently minimized by graph cut methods. By solving the minimization problem on the graph dual to a Delaunaybased tetrahedral mesh, the advantages of explicit and implicit methods for surface reco...

Domain discretization is considered a dominant part of solution procedures for solving partial differential equations. It widely accepted that mesh generation among the most cumbersome parts ...

Wireless Mesh Networks (WMN) are considered an attractive alternative to the traditional wired backbone networks for broadband Internet access. However, their capacity is limited due to the nature of the radio channel, which must be shared by the nodes forwarding the traffic from and to the gateway. Therefore, estimating the capacity of WMNs is an important question. The capacity analysis propo...

Interference and collisions greatly limited the throughput of mesh networks that used contention-based MAC protocols such as 802.11. Significantly higher throughput is achievable if transmissions are scheduled. However, traditional methods to compute such schedules are so computationally complex that they can only be used on relatively small networks. This paper presents results from several re...

This paper deals with an improvement of vertex based nonlinear diffusion for mesh denoising. This method directly filters the position of the vertices using Laplace, reduced centered Gaussian and Rayleigh probability density functions as diffusivities. The use of these PDFs improves the performance of a vertex-based diffusion method which are adapted to the underlying mesh structure. We also co...

Arbitrary Lagrangian Eulerian (ALE) methods have existed for several decades. However, three-dimensional multi-material arbitrary Lagrangian Eulerian (MMALE) methods for unstructured grids are relatively new. MMALE algorithms provide the framework to model sections of a simulation as either Lagrangian, ALE, or Eulerian. In addition, sections of a simulation can switch in time between mesh motio...

This paper presents a new method for interactive viewing of dynamically sampled environments. We introduce a 3D mesh-based reconstruction called a tapestry that serves both as the display representation and as a cache that supports the re-use of samples across views. As the user navigates through the environment, the mesh continuously evolves to provide an appropriate image reconstruction for t...

Subdivision schemes are commonly used to obtain dense or smooth data representations from sparse discrete data. E. g., B-splines are smooth curves or surfaces that can be constructed by infinite subdivision of a polyline or polygon mesh of control points. New vertices are computed by linear combinations of the initial control points. We present a new non-linear subdivision scheme for the refine...