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
Abstract:
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.