Surface Charge Simulation Method using Spherical Triangles

Adaptive Implicit Surface Polygonization Using Marching Triangles

This paper presents several improvements to the marching triangles algorithm for general implicit surfaces. The original method generates equilateral triangles of constant size almost everywhere on the surface. We present several modifications to adapt the size of the triangles to the curvature of the surface. As cracks may arise in the resulting polygonization, we propose a specific crack-clos...

Fluid Simulation on S using Spherical Harmonics

Surface Reconstruction for Particle Simulation Using Level Set Method

A particle-based method is one of the most commonly used methods for fluid simulations. It has certain advantages over other fluid simulation methods; for example, it is easy to simulate irregular and complex fluid motion with topological changes. However, the surface reconstruction for particles remains a challenging problem. In this paper, we propose a surface reconstruction method for moving...

Expanding Spherical Shell of Charge

in Gaussian units and in spherical coordinates where a(t) is the radius of the shell, Q is the total surface charge, and H(x, x0) = ∫ x −∞ δ(x ′ − x0) dx′ is the Heaviside step function. However, magnetic charges do not exist, so we cannot have a radial magnetic field of the form (1). That is, the magnetic field is zero, B = 0 everywhere, no matter what is the time dependence a(t) of the radius...

Spherical f-Tilings by Scalene Triangles and Isosceles Trapezoids III

The study of the dihedral f-tilings of the sphere S2 whose prototiles are a scalene triangle and an isosceles trapezoid was initiated in [7, 8]. In this paper we complete this classification presenting the study of all dihedral spherical f-tilings by scalene triangles and isosceles trapezoids in the remaining case of adjacency. A list containing all the f-tilings obtained in this paper is prese...