Discretization of Three-Dimensional Aggregate Particles

Daniel Rypl

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.