May 26, 2023 · A Voronoi diagram is a partition of a plane into regions close to each of a given set of objects. In the simplest case, these objects are ...

Jun 20, 2021 · We introduce a class of systems of Hamilton-Jacobi equations that characterize critical points of functionals associated to centroidal ...

A class of systems of Hamilton-Jacobi equations that characterize critical points of functionals associated to centroidal tessellations of domains, ...

We introduce a class of systems of Hamilton-Jacobi equations that characterize critical points of functionals associated to centroidal tessellations of ...

Jun 20, 2021 · We introduce a class of systems of Hamilton-Jacobi equations characterizing geodesic centroidal tessellations, i.e. tessellations of domains ...

Jun 12, 2023 · In this work, we described a PDE method for the computation of centroidal geodesic Voronoi tessellation and power diagrams. The PDE theory ...

The key concept is the notion of centroidal tesselation that is widely used in eucidan settings. Using the Fast Marching algorithm, we are able to recast this ...

In this work, we described a PDE method for the computation of centroidal geodesic Voro- noi tessellation and power diagrams. The PDE theory is a robust ...

Grid generation for the numerical solution of partial differential equations is an- other potentially important application of centroidal Voronoi tessellations.

The key idea in the proposed approach is to perform Centroidal Voronoi Tessellation (CVT) sampling to obtain lower gradient estimation error and guarantee a ...