10 citations · 29 across the 5 of their papers we have counts for
6 papers
Morphology-Preserving Remeshing Approach to Particulate Microstructures via Harmonic Decomposition
Mahmoud Shaqfa
Harmonic decomposition of surfaces, such as spherical and spheroidal harmonics, is used to analyze morphology, reconstruct, and generate surface inclusions of particulate microstru…
Hemispheroidal parameterization and harmonic decomposition of simply connected open surfaces
Gary P. T. Choi, Mahmoud Shaqfa
Spectral analysis of open surfaces is gaining momentum for studying surface morphology in engineering, computer graphics, and medical domains. This analysis is enabled using proper…
Spheroidal harmonics for generalizing the morphological decomposition of closed parametric surfaces
Mahmoud Shaqfa, Wim M. van Rees
Spherical harmonics (SH) have been extensively used as a basis for analyzing the morphology of particles in granular mechanics. The use of SH is facilitated by mapping the particle…
Disk Harmonics for Analysing Curved and Flat Self-affine Rough Surfaces and the Topological Reconstruction of Open Surfaces
Mahmoud Shaqfa, Gary P. T. Choi, Guillaume Anciaux +1
When two bodies get into contact, only a small portion of the apparent area is actually involved in producing contact and friction forces, because of the surface roughnesses. It is…
Spherical Cap Harmonic Analysis (SCHA) for Characterising the Morphology of Rough Surface Patches
Mahmoud Shaqfa, Gary P. T. Choi, Katrin Beyer
We use spherical cap harmonic (SCH) basis functions to analyse and reconstruct the morphology of scanned genus-0 rough surface patches with open edges. We first develop a novel one…
Pareto-like Sequential Sampling Heuristic for Global Optimisation
Mahmoud Shaqfa, Katrin Beyer
In this paper, we propose a simple global optimisation algorithm inspired by Pareto's principle. This algorithm samples most of its solutions within prominent search domains and is…