10 citations · 29 across the 5 of their papers we have counts for
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cs.CG2024★ 6 cited
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…
cond-mat.soft2024★ 6 cited
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…
math.NA2024★ 6 cited
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…