
CNNDriven Quasiconformal Model for Large Deformation Image Registration
Image registration has been widely studied over the past several decades...
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Freeboundary conformal parameterization of point clouds
With the advancement in 3D scanning technology, there has been a surge o...
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Decomposition of Longitudinal Deformations via Beltrami Descriptors
We present a mathematical model to decompose a longitudinal deformation ...
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Modal Uncertainty Estimation via Discrete Latent Representation
Many important problems in the real world don't have unique solutions. I...
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Shape analysis via inconsistent surface registration
In this work, we develop a framework for shape analysis using inconsiste...
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Inconsistent Surface Registration via Optimization of Mapping Distortions
We address the problem of registering two surfaces, of which a natural b...
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Parallelizable global conformal parameterization of simplyconnected surfaces via partial welding
Conformal surface parameterization is useful in graphics, imaging and vi...
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Tooth morphometry using quasiconformal theory
Shape analysis is important in anthropology, bioarchaeology and forensic...
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Subsampled Turbulence Removal Network
We present a deeplearning approach to restore a sequence of turbulence...
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Parametrizing FlatFoldable Surfaces with Incomplete Data
We propose a novel way of computing surface folding maps via solving a l...
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Variational models for joint subsampling and reconstruction of turbulencedegraded images
Turbulencedegraded image frames are distorted by both turbulent deforma...
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Image retargeting via Beltrami representation
Image retargeting aims to resize an image to one with a prescribed aspec...
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Restoration of Atmospheric Turbulencedistorted Images via RPCA and Quasiconformal Maps
We address the problem of restoring a highquality image from an observe...
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Fast Spherical Quasiconformal Parameterization of Genus0 Closed Surfaces with Application to Adaptive Remeshing
In this work, we are concerned with the spherical quasiconformal paramet...
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TRIM: Triangulating Images for Efficient Registration
With the advancement in the digital camera technology, the use of high r...
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TEMPO: FeatureEndowed Teichmüller Extremal Mappings of Point Clouds
In recent decades, the use of 3D point clouds has been widespread in com...
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The Theory of Computational Quasiconformal Geometry on Point Clouds
Quasiconformal (QC) theory is an important topic in complex analysis, w...
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Spherical Conformal Parameterization of Genus0 Point Clouds for Meshing
Point cloud is the most fundamental representation of 3D geometric objec...
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A Linear Formulation for Disk Conformal Parameterization of SimplyConnected Open Surfaces
Surface parameterization is widely used in computer graphics and geometr...
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Fast Disk Conformal Parameterization of Simplyconnected Open Surfaces
Surface parameterizations have been widely used in computer graphics and...
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Landmark and Intensity Based Registration with Large Deformations via Quasiconformal Maps
Registration, which aims to find an optimal onetoone correspondence be...
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Geometric Registration of Highgenus Surfaces
This paper presents a method to obtain geometric registrations between h...
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A Conformal Approach for Surface Inpainting
We address the problem of surface inpainting, which aims to fill in hole...
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Teichmüller extremal mapping and its applications to landmark matching registration
Registration, which aims to find an optimal 11 correspondence between s...
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Beltrami Representation and its applications to texture map and video compression
Surface parameterizations and registrations are important in computer gr...
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Lok Ming Lui
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Associate Professor in the Math department of The Chinese University of Hong Kong (CUHK).