LL
Lok Ming Lui
cs.CVcs.GRcs.CGmath.DGcs.NAmath.NAAlgorithmscs.LGmath.CVSubtraction Technique
On Valency
published · living versionsW_ryts6cwx·v1 · currentpublished
Tooth morphometry using quasi-conformal theory
with Gary P. T. Choi, Hei Long Chan, Robin Yong, Sarbin Ranjitkar +3
1 version
Preprints & journals
77 papers in the corpus · 2005–2026Adaptive Volumetric Parameterization of Simply Connected 3-Manifolds with Applications2608.08672v2 · Zhiyuan Lyu, Qiguang Chen, Lok Ming Lui et al.2026 · 0 citationsarXiv
Learning Task-Aware Sampling with Shared Saliency through Density-Equalizing Mappings2606.12869v1 · Tsz Lok Ip, Han Zhang, Lok Ming Lui2026 · 0 citationsarXiv
Resolution-free neural surrogates for geometric parameterization and mapping with spatially varying fields2605.28551v2 · Yanwen Huang, Lok Ming Lui, Gary P. T. Choi2026 · 0 citationsarXiv
Optimization of Constrained Quasiconformal Mapping for Origami Design2604.20137v1 · Ka Ho Lai, Hei Tung Tsang, Gary P. T. Choi et al.2026 · 0 citationsarXiv
Harmonic Beltrami Signature Network: a Shape Prior Module in Deep Learning Framework2603.02907v1 · Chenran Lin, Lok Ming Lui2026 · 0 citationsarXiv
Two-chart Beltrami Optimization for Distortion-Controlled Spherical Bijection with Application to Brain Surface Registration2602.01589v2 · Zhehao Xu, Lok Ming Lui2026 · 0 citationsarXiv
Free-Boundary Quasiconformal Maps via a Least-squares Operator in Diffeomorphism Optimization2511.11679v2 · Zhehao Xu, Lok Ming Lui2025 · 0 citationsarXiv
Surface parameterization via optimization of relative entropy and quasiconformality2510.27203v1 · Zhipeng Zhu, Lok Ming Lui2025 · 0 citationsarXiv
A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces2509.01256v1 · Zhipeng Zhu, Wai Yeung Lam, Lok Ming Lui2025 · 0 citationsarXiv
A Registration-Based Star-Shape Segmentation Model and Fast Algorithms2508.07721v1 · Daoping Zhang, Xue-Cheng Tai, Lok Ming Lui2025 · 1 citationarXiv
Volumetric Parameterization for 3-Dimensional Simply-Connected Manifolds2506.17025v1 · Zhiyuan Lyu, Qiguang Chen, Gary P. T. Choi et al.2025 · 0 citationsarXiv
Learning-based density-equalizing map2506.10027v1 · Yanwen Huang, Lok Ming Lui, Gary P. T. Choi2025 · 0 citationsAIMS Mathematics, 10(11), 25756-25790 (2025)
Circular Quasiconformal Deturbulence: Geometry-Based Restoration from Multiple Turbulent Frames2504.13432v3 · Chu Chen, Han Zhang, Lok Ming Lui2025 · 0 citationsNeurocomputing (2026): 134277
Deformation-invariant neural network and its applications in distorted image restoration and analysis.40121786 · Zhang, Han, Chen, Qiguang, Lui, Lok Ming2025 · 8 citationsNeural networks : the official journal of the International Neural Network Society. 2025;187:107378
Quasi-Conformal Convolution : A Learnable Convolution for Deep Learning on Simply Connected Open Surfaces2502.01356v3 · Han Zhang, Tsz Lok Ip, Lok Ming Lui2025 · 1 citationarXiv
Point Cloud Surface Parametrization with HAND and LEG: Hausdorff Approximation from Node-wise Distances and Localized Energy for Geometry2501.13737v2 · Ka Ho Lai, Lok Ming Lui2025 · 0 citationsarXiv
A Novel Double Periodic Conformal Flattening Algorithm for Genus-One Surfaces2412.19052v3 · Zhong-Heng Tan, Tiexiang Li, Wen-Wei Lin et al.2024 · 0 citationsarXiv
Ellipsoidal Density-Equalizing Map for Genus-0 Closed Surfaces2410.12331v2 · Zhiyuan Lyu, Lok Ming Lui, Gary P. T. Choi2024 · 1 citationAdvances in Computational Mathematics, 52, 30 (2026)
Shape Prior Segmentation Guided by Harmonic Beltrami Signature2407.04360v1 · Chenran Lin, Lok Ming Lui2024 · 0 citationsarXiv
A deep neural network framework for dynamic multi-valued mapping estimation and its applications2407.00295v1 · Geng Li, Di Qiu, Lok Ming Lui2024 · 0 citationsarXiv
Deep Learning-Based Quasi-Conformal Surface Registration for Partial 3D Faces Applied to Facial Recognition2405.09880v1 · Yuchen Guo, Hanqun Cao, Lok Ming Lui2024 · 0 citationsarXiv
QIS : Interactive Segmentation via Quasi-Conformal Mappings2402.14695v2 · Han Zhang, Daoping Zhang, Lok Ming Lui2024 · 2 citationsarXiv
Double Transformer Super-Resolution for Breast Cancer ADC Images.38079366 · Yang, Ying, Xiang, Tao, Lv, Xiao et al.2024 · 10 citationsIEEE journal of biomedical and health informatics. 2024;28(2):917-928
Spherical Density-Equalizing Map for Genus-0 Closed Surfaces2401.11795v1 · Zhiyuan Lyu, Lok Ming Lui, Gary P. T. Choi2024 · 11 citationsSIAM Journal on Imaging Sciences, 17(4), 2110-2141 (2024)
Enhancing Facial Classification and Recognition using 3D Facial Models and Deep Learning2312.05219v2 · Houting Li, Mengxuan Dong, Lok Ming Lui2023 · 1 citationarXiv
A New Geometric Representation for 3D Bijective Mappings and Applications2308.05333v3 · Qiguang Chen, Lok Ming Lui2023 · 0 citationsarXiv
Bijective Density-Equalizing Quasiconformal Map for Multiply-Connected Open Surfaces2308.05579v2 · Zhiyuan Lyu, Gary P. T. Choi, Lok Ming Lui2023 · 12 citationsSIAM Journal on Imaging Sciences, 17(1), 706-755 (2024)
Automatic landmark detection and registration of brain cortical surfaces via quasi-conformal geometry and convolutional neural networks.37418897 · Guo, Yuchen, Chen, Qiguang, Choi, Gary P T et al.2023 · 8 citationsComputers in biology and medicine. 2023;163:107185
Fast MRI Reconstruction via Edge Attention2304.11400v1 · Hanhui Yang, Juncheng Li, Lok Ming Lui et al.2023 · 10 citationsarXiv
A Learning-based Framework for Topology-Preserving Segmentation using Quasiconformal Mappings2210.03299v3 · Han Zhang, Lok Ming Lui2022 · 8 citationsarXiv
Topology-Preserving Segmentation Network: A Deep Learning Segmentation Framework for Connected Component2202.13331v1 · Han Zhang, Lok Ming Lui2022 · 2 citationsarXiv
Parallelizable global quasi-conformal parameterization of multiply-connected surfaces via partial welding2112.04191v2 · Zhipeng Zhu, Gary P. T. Choi, Lok Ming Lui2021 · 6 citationsarXiv
A unifying framework for -dimensional quasi-conformal mappings2110.10437v2 · Daoping Zhang, Gary P. T. Choi, Jianping Zhang et al.2021 · 18 citationsSIAM Journal on Imaging Sciences, 15(2), 960-988 (2022)
A Deep Learning Framework for Diffeomorphic Mapping Problems via Quasi-conformal Geometry applied to Imaging2110.10580v2 · Qiguang Chen, Zhiwen Li, Lok Ming Lui2021 · 9 citationsarXiv
Topology-Preserving 3D Image Segmentation Based On Hyperelastic Regularization2103.16768v1 · Daoping Zhang, Lok Ming Lui2021 · 16 citationsarXiv
Harmonic Beltrami Signature: A Novel 2D Shape Representation for Object Classification2103.16411v2 · Chenran Lin, Lok Ming Lui2021 · 4 citationsarXiv
Quasiconformal model with CNN features for large deformation image registration2011.00731v3 · Ho Law, Gary P. T. Choi, Ka Chun Lam et al.2020 · 5 citationsInverse Problems and Imaging, 16(4), 1019-1046 (2022)
Free-boundary conformal parameterization of point clouds2010.15399v2 · Gary P. T. Choi, Yechen Liu, Lok Ming Lui2020 · 18 citationsJournal of Scientific Computing, 90(1), 14 (2022)
Decomposition of Longitudinal Deformations via Beltrami Descriptors2008.03154v2 · Ho Law, Lok Ming Lui, Chun Yin Siu2020 · 2 citationsarXiv
Modal Uncertainty Estimation via Discrete Latent Representation2007.12858v1 · Di Qiu, Lok Ming Lui2020 · 4 citationsarXiv
Quasi-conformal Geometry based Local Deformation Analysis of Lateral Cephalogram for Childhood OSA Classification2006.11408v1 · Hei-Long Chan, Hoi-Man Yuen, Chun-Ting Au et al.2020 · 2 citationsarXiv
Inconsistent Surface Registration via Optimization of Mapping Distortions1908.09098v2 · Di Qiu, Lok-Ming Lui2019 · 11 citationsarXiv
Parallelizable global conformal parameterization of simply-connected surfaces via partial welding1903.12359v2 · Gary P. T. Choi, Yusan Leung-Liu, Xianfeng Gu et al.2019 · 50 citationsSIAM Journal on Imaging Sciences 13(3), 1049-1083 (2020)
Tooth morphometry using quasi-conformal theory1901.01651v1 · Gary P. T. Choi, Hei Long Chan, Robin Yong et al.2019 · 40 citationsPattern Recognition 99, 107064 (2020)on Valency
Image Retargeting via Beltrami Representation.30040640 · Lau, Chun Pong, Yung, Chun Pang, Lui, Lok Ming2018 · 18 citationsIEEE transactions on image processing : a publication of the IEEE Signal Processing Society. 2018;27(12):5787-5801
Subsampled Turbulence Removal Network1807.04418v2 · Wai Ho Chak, Chun Pong Lau, Lok Ming Lui2018 · 34 citationsarXiv
Computing quasiconformal folds1804.03936v3 · Di Qiu, Ka-Chun Lam, Lok-Ming Lui2018 · 3 citationsarXiv
Variational models for joint subsampling and reconstruction of turbulence-degraded images1712.03825v1 · Chun Pong Lau, Yu Hin Lai, Lok Ming Lui2017 · 20 citationsarXiv
Conformal mapping of carotid vessel wall and plaque thickness measured from 3D ultrasound images.28593506 · Choi, Gary P T, Chen, Yimin, Lui, Lok Ming et al.2018 · 19 citationsMedical & biological engineering & computing. 2017;55(12):2183-2195
Restoration of Atmospheric Turbulence-distorted Images via RPCA and Quasiconformal Maps1704.03140v2 · Chun Pong Lau, Yu Hin Lai, Lok Ming Lui2017 · 70 citationsarXiv
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