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08/10/2023
Bijective Density-Equalizing Quasiconformal Map for Multiply-Connected Open Surfaces
This paper proposes a novel method for computing bijective density-equal...
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08/15/2022
Automatic Landmark Detection and Registration of Brain Cortical Surfaces via Quasi-Conformal Geometry and Convolutional Neural Networks
In medical imaging, surface registration is extensively used for perform...
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07/05/2022
An additive framework for kirigami design
We present an additive approach for the inverse design of kirigami-based...
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01/28/2022
Modular representation and control of floppy networks
Geometric graph models of systems as diverse as proteins, robots, and me...
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12/08/2021
Parallelizable global quasi-conformal parameterization of multiply-connected surfaces via partial welding
Conformal and quasi-conformal mappings have widespread applications in i...
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11/08/2021
Adaptive area-preserving parameterization of open and closed anatomical surfaces
The parameterization of open and closed anatomical surfaces is of fundam...
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10/20/2021
A unifying framework for n-dimensional quasi-conformal mappings
With the advancement of computer technology, there is a surge of interes...
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07/28/2021
Spherical Cap Harmonic Analysis (SCHA) for Characterising the Morphology of Rough Surface Patches
We use spherical cap harmonic (SCH) basis functions to analyse and recon...
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02/22/2021
Wallpaper group kirigami
Kirigami, the art of paper cutting, has become a paradigm for mechanical...
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12/16/2020
Compact reconfigurable kirigami
Kirigami involves cutting a flat, thin sheet that allows it to morph fro...
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10/30/2020
CNN-Driven Quasiconformal Model for Large Deformation Image Registration
Image registration has been widely studied over the past several decades...
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10/29/2020
Free-boundary conformal parameterization of point clouds
With the advancement in 3D scanning technology, there has been a surge o...
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09/10/2020
Efficient conformal parameterization of multiply-connected surfaces using quasi-conformal theory
Conformal mapping, a classical topic in complex analysis and differentia...
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05/12/2020
Additive origami
Inspired by the allure of additive fabrication, we pose the problem of o...
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05/12/2020
Control of connectivity and rigidity in prismatic assemblies
How can we manipulate the topological connectivity of a three-dimensiona...
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03/21/2020
Volumetric density-equalizing reference map with applications
The density-equalizing map, a technique developed for cartogram creation...
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03/03/2020
Shape analysis via inconsistent surface registration
In this work, we develop a framework for shape analysis using inconsiste...
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10/15/2019
Deterministic and stochastic control of kirigami topology
Kirigami, the creative art of paper cutting, is a promising paradigm for...
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10/15/2019
Topological and statistical control of kirigami
Kirigami, the creative art of paper cutting, is a promising paradigm for...
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04/09/2019
3DPeople: Modeling the Geometry of Dressed Humans
Recent advances in 3D human shape estimation build upon parametric repre...
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03/29/2019
Parallelizable global conformal parameterization of simply-connected surfaces via partial welding
Conformal surface parameterization is useful in graphics, imaging and vi...
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01/07/2019
Tooth morphometry using quasi-conformal theory
Shape analysis is important in anthropology, bioarchaeology and forensic...
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12/20/2018
Programming shape using kirigami tessellations
Kirigami tessellations, regular planar patterns formed by cutting flat, ...
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12/09/2018
Area-preserving mapping of 3D ultrasound carotid artery images using density-equalizing reference map
Carotid atherosclerosis is a focal disease at the bifurcations of the ca...
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04/08/2017