335 citations · 1.2k across the 32 of their papers we have counts for
33 papers
Bijective Density-Equalizing Quasiconformal Map for Multiply-Connected Open Surfaces
Zhiyuan Lyu, Gary P. T. Choi, Lok Ming Lui
This paper proposes a novel method for computing bijective density-equalizing quasiconformal (DEQ) flattening maps for multiply-connected open surfaces. In conventional density-equ…
Explosive rigidity percolation in kirigami
Gary P. T. Choi, Lucy Liu, L. Mahadevan
Controlling the connectivity and rigidity of kirigami, i.e. the process of cutting paper to deploy it into an articulated system, is critical in the manifestations of kirigami in a…
Automatic Landmark Detection and Registration of Brain Cortical Surfaces via Quasi-Conformal Geometry and Convolutional Neural Networks
Yuchen Guo, Qiguang Chen, Gary P. T. Choi +1
In medical imaging, surface registration is extensively used for performing systematic comparisons between anatomical structures, with a prime example being the highly convoluted b…
An additive framework for kirigami design
Levi H. Dudte, Gary P. T. Choi, Kaitlyn P. Becker +1
We present an additive approach for the inverse design of kirigami-based mechanical metamaterials by focusing on the empty (negative) spaces instead of the solid tiles. By consider…
Modular representation and control of floppy networks
Siheng Chen, Fabio Giardina, Gary P. T. Choi +1
Geometric graph models of systems as diverse as proteins, robots, and mechanical structures from DNA assemblies to architected materials point towards a unified way to represent an…
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…
Learning hydrodynamic equations for active matter from particle simulations and experiments
Rohit Supekar, Boya Song, Alasdair Hastewell +3
Recent advances in high-resolution imaging techniques and particle-based simulation methods have enabled the precise microscopic characterization of collective dynamics in various…
Compact reconfigurable kirigami
Gary P. T. Choi, Levi H. Dudte, L. Mahadevan
Kirigami involves cutting a flat, thin sheet that allows it to morph from a closed, compact configuration into an open deployed structure via coordinated rotations of the internal…
Quasiconformal model with CNN features for large deformation image registration
Ho Law, Gary P. T. Choi, Ka Chun Lam +1
Image registration has been widely studied over the past several decades, with numerous applications in science, engineering and medicine. Most of the conventional mathematical mod…
Free-boundary conformal parameterization of point clouds
Gary P. T. Choi, Yechen Liu, Lok Ming Lui
With the advancement in 3D scanning technology, there has been a surge of interest in the use of point clouds in science and engineering. To facilitate the computations and analyse…
Efficient conformal parameterization of multiply-connected surfaces using quasi-conformal theory
Gary P. T. Choi
Conformal mapping, a classical topic in complex analysis and differential geometry, has become a subject of great interest in the area of surface parameterization in recent decades…
Control of connectivity and rigidity in prismatic assemblies
Gary P. T. Choi, Siheng Chen, L. Mahadevan
How can we manipulate the topological connectivity of a three-dimensional prismatic assembly to control the number of internal degrees of freedom and the number of connected compon…
An additive algorithm for origami design
Levi H. Dudte, Gary P. T. Choi, L. Mahadevan
Inspired by the allure of additive fabrication, we pose the problem of origami design from a new perspective: how can we grow a folded surface in three dimensions from a seed so th…
Volumetric density-equalizing reference map with applications
Gary P. T. Choi, Chris H. Rycroft
The density-equalizing map, a technique developed for cartogram creation, has been widely applied to data visualization but only for 2D applications. In this work, we propose a nov…
Shape analysis via inconsistent surface registration
Gary P. T. Choi, Di Qiu, Lok Ming Lui
In this work, we develop a framework for shape analysis using inconsistent surface mapping. Traditional landmark-based geometric morphometrics methods suffer from the limited degre…
Deterministic and stochastic control of kirigami topology
Siheng Chen, Gary P. T. Choi, L. Mahadevan
Kirigami, the creative art of paper cutting, is a promising paradigm for mechanical metamaterials. However, to make kirigami-inspired structures a reality requires controlling the…
Self-excited motions of volatile drops on swellable sheets
Aditi Chakrabarti, Gary P. T. Choi, L. Mahadevan
When a volatile droplet is deposited on a floating swellable sheet, it becomes asymmetric, lobed and mobile. We describe and quantify this phenomena that involves nonequilibrium sw…
3DPeople: Modeling the Geometry of Dressed Humans
Albert Pumarola, Jordi Sanchez, Gary P. T. Choi +2
Recent advances in 3D human shape estimation build upon parametric representations that model very well the shape of the naked body, but are not appropriate to represent the clothi…
Parallelizable global conformal parameterization of simply-connected surfaces via partial welding
Gary P. T. Choi, Yusan Leung-Liu, Xianfeng Gu +1
Conformal surface parameterization is useful in graphics, imaging and visualization, with applications to texture mapping, atlas construction, registration, remeshing and so on. Wi…