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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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08/10/2023
3D Quasiconformal Representation and Solver
The analysis of mapping relationships and distortions in multidimensiona...
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04/22/2023
Fast MRI Reconstruction via Edge Attention
Fast and accurate MRI reconstruction is a key concern in modern clinical...
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10/07/2022
Topology-Preserving Segmentation Network
Medical image segmentation aims to automatically extract anatomical or p...
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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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02/27/2022
Topology-Preserving Segmentation Network: A Deep Learning Segmentation Framework for Connected Component
Medical image segmentation, which aims to automatically extract anatomic...
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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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10/20/2021
A Learning Framework for Diffeomorphic Image Registration based on Quasi-conformal Geometry
Image registration, the process of defining meaningful correspondences b...
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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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03/31/2021
Topology-Preserving 3D Image Segmentation Based On Hyperelastic Regularization
Image segmentation is to extract meaningful objects from a given image. ...
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03/30/2021
Beltrami Signature: A Novel Invariant 2D Shape Representation for Object Classification
There is a growing interest in shape analysis in recent years and in thi...
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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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08/06/2020
Decomposition of Longitudinal Deformations via Beltrami Descriptors
We present a mathematical model to decompose a longitudinal deformation ...
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07/25/2020
Modal Uncertainty Estimation via Discrete Latent Representation
Many important problems in the real world don't have unique solutions. I...
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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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08/24/2019
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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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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07/12/2018
Subsampled Turbulence Removal Network
We present a deep-learning approach to restore a sequence of turbulence-...
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04/11/2018
Parametrizing Flat-Foldable Surfaces with Incomplete Data
We propose a novel way of computing surface folding maps via solving a l...
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12/08/2017
Variational models for joint subsampling and reconstruction of turbulence-degraded images
Turbulence-degraded image frames are distorted by both turbulent deforma...
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10/11/2017
Image retargeting via Beltrami representation
Image retargeting aims to resize an image to one with a prescribed aspec...
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04/11/2017
Restoration of Atmospheric Turbulence-distorted Images via RPCA and Quasiconformal Maps
We address the problem of restoring a high-quality image from an observe...
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08/03/2016
Fast Spherical Quasiconformal Parameterization of Genus-0 Closed Surfaces with Application to Adaptive Remeshing
In this work, we are concerned with the spherical quasiconformal paramet...
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05/20/2016
TRIM: Triangulating Images for Efficient Registration
With the advancement in the digital camera technology, the use of high r...
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11/20/2015
TEMPO: Feature-Endowed Teichmüller Extremal Mappings of Point Clouds
In recent decades, the use of 3D point clouds has been widespread in com...
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10/17/2015
The Theory of Computational Quasi-conformal Geometry on Point Clouds
Quasi-conformal (QC) theory is an important topic in complex analysis, w...
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08/30/2015
Spherical Conformal Parameterization of Genus-0 Point Clouds for Meshing
Point cloud is the most fundamental representation of 3D geometric objec...
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08/03/2015
A Linear Formulation for Disk Conformal Parameterization of Simply-Connected Open Surfaces
Surface parameterization is widely used in computer graphics and geometr...
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08/29/2014
Fast Disk Conformal Parameterization of Simply-connected Open Surfaces
Surface parameterizations have been widely used in computer graphics and...
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10/07/2013
Landmark and Intensity Based Registration with Large Deformations via Quasi-conformal Maps
Registration, which aims to find an optimal one-to-one correspondence be...
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05/10/2013
Geometric Registration of High-genus Surfaces
This paper presents a method to obtain geometric registrations between h...
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12/05/2012
A Conformal Approach for Surface Inpainting
We address the problem of surface inpainting, which aims to fill in hole...
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11/12/2012
Teichmüller extremal mapping and its applications to landmark matching registration
Registration, which aims to find an optimal 1-1 correspondence between s...
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10/18/2012
