6 papers
Low-distortion planar embedding of rod-based structures
Mark Yan Lok Yip, Gary P. T. Choi
Rod-based structures are commonly used in practical applications in science and engineering. However, in many design, analysis, and manufacturing tasks, handling the rod-based stru…
Robust Parametric Estimation of Avian Cranial Morphology
Kaikwan Lau, Gary P. T. Choi
Understanding the growth and form of complex morphological structures is one of the most fundamental problems in biology. While many prior works have analyzed the beak morphology o…
Explosive connectivity and mechanical rigidity in cubic lattice structures
Trenton Lau, Gary P. T. Choi
We study explosive connectivity and mechanical rigidity in three-dimensional cubic lattice structures under Achlioptas-type product-rule dynamics. Our work combines extensive numer…
Rigidity control of general origami structures
Rongxuan Li, Gary P. T. Choi
Origami, the traditional paper-folding art, has inspired the modern design of numerous flexible structures in science and engineering. In particular, origami structures with differ…
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…
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…