Large scale cosmological simulations such as galaxy and star formation are of great interest to cosmologists. These simulations are done by consideration of relativistic, compressible, discontinuous fluids. Many techniques from particle based to adaptive meshing have been explored, each with advantages and disadvantages. Here, the limitations of centroidal Voronoi tessellations with these astro...

The center of mass (CoM) of a humanoid robot occupies a special place in its dynamics. As the location of its effective total mass, and consequently, the point of resultant action of gravity, the CoM is also the point where the robot’s aggregate linear momentum and angular momentum are naturally defined. The overarching purpose of this paper is to refocus our attention to centroidal dynamics: t...

We introduce a new technique for solving Initial Value Problems (IVPs) by formulating an embedded method involving RK methods based on Arithmetic Mean(AM) and Heronian Mean (HeM). The function of the simulator is that it is capable of performing Raster Simulation for any kind as well as any size of input image. It is a powerful tool for researchers to examine the potential applications of CNN. ...

In this paper the numerical approximations of the GinzburgLandau model for a superconducting hollow spheres are constructed using a gauge invariant discretization on spherical centroidal Voronoi tessellations. A reduced model equation is used on the surface of the sphere which is valid in the thin spherical shell limit. We present the numerical algorithms and their theoretical convergence as we...

We tackle the problem of constructing 2D centroidal Voronoi tessellations with constraints through an efficient and robust construction of bounded Voronoi diagrams, the pseudo-dual of the constrained Delaunay triangulation. We exploit the fact that the cells of the bounded Voronoi diagram can be obtained by clipping the ordinary ones against the constrained Delaunay edges. The clipping itself i...

This paper introduces a new shape representation and retrieval method called distance autocorrelogram. Firstly, distance autocorrelogram is obtained under the premise of getting the contour’ centroidal distances. Then, we apply this shape descriptor to content-based image retrieval (CBIR). This feature depends on the centroidal distances and correlation between neighboring edges, so it can expr...

Abstract We provide optimal bounds for the sine and hyperbolic tangent means in terms of various weighted arithmetic centroidal