We consider a nonlinear finite volume (FV) scheme for stationary diffusion equation. We prove that the scheme is monotone, i.e. it preserves positivity of analytical solutions on arbitrary triangular meshes for strongly anisotropic and heterogeneous full tensor coefficients. The scheme is extended to regular star-shaped polygonal meshes and isotropic heterogeneous coefficients.

In this paper we introduce a new compression technique for the connectivity of a Triangulated Irregular Network (TIN) by using Delaunay triangulation. The strategy in this paper is based on that most of 2.5 dimensional terrain connection are very similar to plane-projected Delaunay triangulation of their vertex set. We only need to keep the vertex coordinates and a few edges that are not includ...

The dynamics of the Min-protein system help Escherichia coli regulate the process of cell division by identifying the center of the cell. While this system exhibits robust bipolar oscillations in wild-type cell shapes, recent experiments have shown that when the cells are mechanically deformed into wide, flattened out, irregular shapes, the spatial regularity of these oscillations breaks down. ...

We present a volumetric method that can e ciently create triangular meshes from D geometric data This data can be presented in the form of im ages pro les or unordered points The mesh model can be created at di erent resolutions and can also be closed to make a true volumetric model

This paper describes the use of a previously developed surface model for representing 3D geometric information that is subject to uncertainty. The proposed model is based on a geometric data fusion technique that allows the efficient approximation of arbitrary triangular meshes in space with smooth surfaces. This paper shows how the shape modifiers defined in that model can be used to represent...

330 Abstract-This paper reviews the previously available methods to estimate the curvatures, both discrete and continuous for triangulated surface. Many applications such as surface segmentation, surface smoothing, surface reconstruction, and registration require the accurate estimation of curvature at the vertices of the triangulated surface. For the estimation of the curvature, several differ...

This paper presents a novel approach for detecting ridge-ravine lines on dense triangular meshes. We first retile the original mesh into to a simplified domain mesh. An arbitrary smooth parametric surface is constructed defined on the domain mesh. Ridges and ravines are then accurately and efficiently computed and detected using the smooth parameteric function. Our approach treats shape noise b...

We introduce a decentralized replication strategy for peerto-peer file exchange based on exhaustive exploration of the neighborhood of any node in the network. The replication scheme lets the replicas evenly populate the network mesh, while regulating the total number of replicas at the same time. This is achieved by self adaptation to entering or leaving of nodes. Exhaustive exploration is ach...

In this note, by using complex variable functions, we present a new simpler proof of the degeneracy property of the longest-edge n-section of triangles for n P 4. This means that the longest-edge n-section of triangles for n P 4 produces a sequence of triangles with minimum interior angle converging to zero. 2012 Elsevier Inc. All rights reserved.