This monograph reviews both the theory and practice of the numerical computation of
geodesic distances on Riemannian manifolds. The notion of Riemannian manifold allows …

Centroidal Voronoi tessellations (CVTs) have become a useful tool in many applications
ranging from geometric modeling, image and data analysis, and numerical partial differential …

We present a simple and robust Matlab code for polygonal mesh generation that relies on
an implicit description of the domain geometry. The mesh generator can provide, among …

Triangle meshes have been nearly ubiquitous in computer graphics, and a large body of
data structures and geometry processing algorithms based on them has been developed in …

Centroidal Voronoi tessellation (CVT) is a particular type of Voronoi tessellation that has
many applications in computational sciences and engineering, including computer graphics …

We show that physics-based simulations can be seamlessly integrated with NeRF to
generate high-quality elastodynamics of real-world objects. Unlike existing methods we …

This paper deals with the path planning problem of a team of mobile robots, in order to cover
an area of interest, with prior-defined obstacles. For the single robot case, also known as …

An approach is presented for influencing teams of robots by means of time-varying density
functions, representing rough references for where the robots should be located. A …

We present a new reconnection-based arbitrary-Lagrangian–Eulerian (ALE) method. The
main elements in a standard ALE simulation are an explicit Lagrangian phase in which the …

We present an autonomous scanning approach which allows multiple robots to perform
collaborative scanning for dense 3D reconstruction of unknown indoor scenes. Our method …