3 papers
cs.GR2025
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…
cs.CG2024
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
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…