40 citations · 56 across the 5 of their papers we have counts for
7 papers · 1 filter
Parallelizable global quasi-conformal parameterization of multiply-connected surfaces via partial welding
Zhipeng Zhu, Gary P. T. Choi, Lok Ming Lui
Conformal and quasi-conformal mappings have widespread applications in imaging science, computer vision and computer graphics, such as surface registration, segmentation, remeshing…
Adaptive area-preserving parameterization of open and closed anatomical surfaces
Gary P. T. Choi, Amita Giri, Lalan Kumar
The parameterization of open and closed anatomical surfaces is of fundamental importance in many biomedical applications. Spherical harmonics, a set of basis functions defined on t…
A unifying framework for -dimensional quasi-conformal mappings
Daoping Zhang, Gary P. T. Choi, Jianping Zhang +1
With the advancement of computer technology, there is a surge of interest in effective mapping methods for objects in higher-dimensional spaces. To establish a one-to-one correspon…
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…
Quasicrystal kirigami
Lucy Liu, Gary P. T. Choi, L. Mahadevan
Kirigami, the art of introducing cuts in thin sheets to enable articulation and deployment, has become an inspiration for a novel class of mechanical metamaterials with unusual pro…
Wallpaper group kirigami
Lucy Liu, Gary P. T. Choi, L. Mahadevan
Kirigami, the art of paper cutting, has become a paradigm for mechanical metamaterials in recent years. The basic building blocks of any kirigami structures are repetitive deployab…