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Topology-Preserving Image Segmentation by Beltrami Representation of Shapes

Journal of mathematical imaging and vision, 2018-03, Vol.60 (3), p.401-421

2018

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Brain Surface Conformal Parameterization Using Riemann Surface Structure

IEEE transactions on medical imaging, 2007-06, Vol.26 (6), p.853-865

2007

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A Quasiconformal-Based Geometric Model for Craniofacial Analysis and Its Application

Axioms, 2023-04, Vol.12 (4), p.393

2023

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Parallelizable Global Conformal Parameterization of Simply-Connected Surfaces via Partial Welding

SIAM journal on imaging sciences, 2020-01, Vol.13 (3), p.1049-1083

2020

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Image Retargeting via Beltrami Representation

IEEE transactions on image processing, 2018-12, Vol.27 (12), p.5787-5801

2018

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Classification of Childhood Obstructive Sleep Apnea based on X-ray images analysis by Quasi-conformal Geometry

Pattern recognition, 2024-08, Vol.152, p.110454, Article 110454

2024

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FLASH: Fast Landmark Aligned Spherical Harmonic Parameterization for Genus-0 Closed Brain Surfaces

SIAM journal on imaging sciences, 2015-01, Vol.8 (1), p.67-94

2015

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Computing Quasi-Conformal Folds

SIAM journal on imaging sciences, 2019-01, Vol.12 (3), p.1392-1424

2019

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Landmark constrained genus-one surface Teichmüller map applied to surface registration in medical imaging

Medical image analysis, 2015-10, Vol.25 (1), p.45-55

2015

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Teichmuller Mapping (T-Map) and Its Applications to Landmark Matching Registration

SIAM journal on imaging sciences, 2014-01, Vol.7 (1), p.391-426

2014

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Geometric Registration of High-Genus Surfaces

SIAM journal on imaging sciences, 2014-01, Vol.7 (1), p.337-365

2014

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Folding-Free Global Conformal Mapping for Genus-0 Surfaces by Harmonic Energy Minimization

Journal of scientific computing, 2014-03, Vol.58 (3), p.705-725

2014

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Shape Analysis of Planar Multiply-Connected Objects Using Conformal Welding

IEEE transactions on pattern analysis and machine intelligence, 2014-07, Vol.36 (7), p.1384-1401

2014

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Subdivision connectivity remeshing via Teichmüller extremal map

Inverse problems and imaging (Springfield, Mo.), 2017-10, Vol.11 (5), p.825-855

2017

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A learning-based framework for topology-preserving segmentation using quasiconformal mappings

Neurocomputing (Amsterdam), 2024-10, Vol.600, p.128124, Article 128124

2024

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Detection of shape deformities using Yamabe flow and Beltrami coefficients

Inverse problems and imaging (Springfield, Mo.), 2010, Vol.4 (2), p.311-333

2010

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Topology-Preserving 3D Image Segmentation Based on Hyperelastic Regularization

Journal of scientific computing, 2021-06, Vol.87 (3), p.74, Article 74

2021

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A conformal approach for surface inpainting

Inverse problems and imaging (Springfield, Mo.), 2013-08, Vol.7 (3), p.863-884

2013

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Restoration of atmospheric turbulence-distorted images via RPCA and quasiconformal maps

Inverse problems, 2019-07, Vol.35 (7), p.74002

2019

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Surface Registration by Optimization in Constrained Diffeomorphism Space

2014 IEEE Conference on Computer Vision and Pattern Recognition, 2014, p.4169-4176

2014

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Image Segmentation with Partial Convexity Shape Prior Using Discrete Conformality Structures

SIAM journal on imaging sciences, 2020-01, Vol.13 (4), p.2105-2139

2020

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Inconsistent Surface Registration via Optimization of Mapping Distortions

Journal of scientific computing, 2020-06, Vol.83 (3), p.64, Article 64

2020

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Fast Disk Conformal Parameterization of Simply-Connected Open Surfaces

Journal of scientific computing, 2015-12, Vol.65 (3), p.1065-1090

2015

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Harmonic Beltrami Signature: A Novel 2D Shape Representation for Object Classification

SIAM journal on imaging sciences, 2022-01, Vol.15 (4), p.1851-1893

2022

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A Deep Learning Framework for Diffeomorphic Mapping Problems via Quasi-conformal Geometry Applied to Imaging

SIAM journal on imaging sciences, 2024-03, Vol.17 (1), p.501-539

2024

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Topology-Preserving Image Segmentation by Beltrami Representation of Shapes

Brain Surface Conformal Parameterization Using Riemann Surface Structure

A Quasiconformal-Based Geometric Model for Craniofacial Analysis and Its Application

Parallelizable Global Conformal Parameterization of Simply-Connected Surfaces via Partial Welding

Image Retargeting via Beltrami Representation

Classification of Childhood Obstructive Sleep Apnea based on X-ray images analysis by Quasi-conformal Geometry

FLASH: Fast Landmark Aligned Spherical Harmonic Parameterization for Genus-0 Closed Brain Surfaces

Computing Quasi-Conformal Folds

Landmark constrained genus-one surface Teichmüller map applied to surface registration in medical imaging

Teichmuller Mapping (T-Map) and Its Applications to Landmark Matching Registration

Geometric Registration of High-Genus Surfaces

Folding-Free Global Conformal Mapping for Genus-0 Surfaces by Harmonic Energy Minimization

Shape Analysis of Planar Multiply-Connected Objects Using Conformal Welding

Subdivision connectivity remeshing via Teichmüller extremal map

A learning-based framework for topology-preserving segmentation using quasiconformal mappings

Detection of shape deformities using Yamabe flow and Beltrami coefficients

Topology-Preserving 3D Image Segmentation Based on Hyperelastic Regularization

A conformal approach for surface inpainting

Restoration of atmospheric turbulence-distorted images via RPCA and quasiconformal maps

Surface Registration by Optimization in Constrained Diffeomorphism Space

Image Segmentation with Partial Convexity Shape Prior Using Discrete Conformality Structures

Inconsistent Surface Registration via Optimization of Mapping Distortions

Fast Disk Conformal Parameterization of Simply-Connected Open Surfaces

Harmonic Beltrami Signature: A Novel 2D Shape Representation for Object Classification

A Deep Learning Framework for Diffeomorphic Mapping Problems via Quasi-conformal Geometry Applied to Imaging

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