Discretization of Three-Dimensional Aggregate Particles
Department of Mechanics
Faculty of Civil Engineering
Czech Technical University in Prague
Thákurova 7, 166 29 Prague, Czech Republic
The present paper deals with the discretization of the surface
of three-dimensional aggregate particles. 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 aggregate
particle is then subjected to the discretization using the advancing front
technique performed directly on the surface in the real space.
The adopted discretization technique exhibits linear computatinal
complexity for a given order of the spherical harmonic expansion.
The achieved computational complexity with respect to the
expansion order for the mesh of the same density is better than
the quadratic one.