Using the Spherical Harmonic Analysis and the Advancing Front Technique
for the Discretization of 3D Aggregate Particles

Daniel Rypl

Department of Mechanics
Faculty of Civil Engineering
Czech Technical University in Prague
Thákurova 7, 166 29 Prague, Czech Republic


In this paper, an algorithm for the discretization of three-dimensional aggregate particles is presented. The initial description of the particle is assumed in the digital (voxel based) representation obtained (after appropriate processing) from computer tomography or magnetic resonance tomography. A smooth representation of the particle is derived from the digital description using the spherical harmonic analysis. The smooth surface of the aggregate particle is then subjected to the triangulation using the advancing front technique performed directly on the surface in the real space. This boundary mesh then serves as an input for the tetrahedrization, also based on the advancing front technique, of the particle itself and/or of the domain surrounding the particle.