87 citations · 437 across the 38 of their papers we have counts for
38 papers
Adaptive Volumetric Parameterization of Simply Connected 3-Manifolds with Applications
Zhiyuan Lyu, Qiguang Chen, Lok Ming Lui +1
Volumetric parameterization, the process of mapping a 3-manifold onto a simplified volumetric domain, is important for many tasks in computer graphics and imaging science. However,…
Learning Task-Aware Sampling with Shared Saliency through Density-Equalizing Mappings
Tsz Lok Ip, Han Zhang, Lok Ming Lui
In image and surface-based learning tasks, convolutional features are typically extracted using receptive fields that are sampled uniformly across the entire domain. However, infor…
Resolution-free neural surrogates for geometric parameterization and mapping with spatially varying fields
Yanwen Huang, Lok Ming Lui, Gary P. T. Choi
Many imaging problems require computing spatial transformations induced by spatially varying intensity, feature, or density fields. Canonical examples include distortion correction…
Two-chart Beltrami Optimization for Distortion-Controlled Spherical Bijection with Application to Brain Surface Registration
Zhehao Xu, Lok Ming Lui
Many genus-0 surface mapping tasks such as landmark alignment, feature matching, and image-driven registration, can be reduced (via an initial spherical conformal map) to optimizin…
Variational Geometry-aware Neural Network based Method for Solving High-dimensional Diffeomorphic Mapping Problems
Zhiwen Li, Cheuk Hin Ho, Lok Ming Lui
Traditional methods for high-dimensional diffeomorphic mapping often struggle with the curse of dimensionality. We propose a mesh-free learning framework designed for -dimension…
Volumetric Parameterization for 3-Dimensional Simply-Connected Manifolds
Zhiyuan Lyu, Qiguang Chen, Gary P. T. Choi +1
With advances in technology, there has been growing interest in developing effective mapping methods for 3-dimensional objects in recent years. Volumetric parameterization for 3D s…
Learning-based density-equalizing map
Yanwen Huang, Lok Ming Lui, Gary P. T. Choi
Density-equalizing map (DEM) serves as a powerful technique for creating shape deformations with the area changes reflecting an underlying density function. In recent decades, DEM…
Point Cloud Surface Parametrization with HAND and LEG: Hausdorff Approximation from Node-wise Distances and Localized Energy for Geometry
Ka Ho Lai, Lok Ming Lui
Surface parametrization is a crucial part in various fields, having applications in computer graphic, medical imaging, scientific computing and computational engineering. The major…
A Novel Double Periodic Conformal Flattening Algorithm for Genus-One Surfaces
Zhong-Heng Tan, Tiexiang Li, Wen-Wei Lin +1
In this paper, we propose novel parameterization methods for genus-one surfaces, called the Double Periodic Conformal Flattening (DPCF) algorithm. The desired conformal map is obta…
Ellipsoidal Density-Equalizing Map for Genus-0 Closed Surfaces
Zhiyuan Lyu, Lok Ming Lui, Gary P. T. Choi
Surface parameterization is a fundamental task in geometry processing and plays an important role in many science and engineering applications. In recent years, the density-equaliz…
Shape Prior Segmentation Guided by Harmonic Beltrami Signature
Chenran Lin, Lok Ming Lui
This paper presents a novel shape prior segmentation method guided by the Harmonic Beltrami Signature (HBS). The HBS is a shape representation fully capturing 2D simply connected s…
A deep neural network framework for dynamic multi-valued mapping estimation and its applications
Geng Li, Di Qiu, Lok Ming Lui
This paper addresses the problem of modeling and estimating dynamic multi-valued mappings. While most mathematical models provide a unique solution for a given input, real-world ap…
QIS : Interactive Segmentation via Quasi-Conformal Mappings
Han Zhang, Daoping Zhang, Lok Ming Lui
Image segmentation plays a crucial role in extracting important objects of interest from images, enabling various applications. While existing methods have shown success in segment…
Spherical Density-Equalizing Map for Genus-0 Closed Surfaces
Zhiyuan Lyu, Lok Ming Lui, Gary P. T. Choi
Density-equalizing maps are a class of mapping methods in which the shape deformation is driven by prescribed density information. In recent years, they have been widely used for d…
Enhancing Facial Classification and Recognition using 3D Facial Models and Deep Learning
Houting Li, Mengxuan Dong, Lok Ming Lui
Accurate analysis and classification of facial attributes are essential in various applications, from human-computer interaction to security systems. In this work, a novel approach…
Deformation-Invariant Neural Network and Its Applications in Distorted Image Restoration and Analysis
Han Zhang, Qiguang Chen, Lok Ming Lui
Images degraded by geometric distortions pose a significant challenge to imaging and computer vision tasks such as object recognition. Deep learning-based imaging models usually fa…
Bijective Density-Equalizing Quasiconformal Map for Multiply-Connected Open Surfaces
Zhiyuan Lyu, Gary P. T. Choi, Lok Ming Lui
This paper proposes a novel method for computing bijective density-equalizing quasiconformal (DEQ) flattening maps for multiply-connected open surfaces. In conventional density-equ…
A New Geometric Representation for 3D Bijective Mappings and Applications
Qiguang Chen, Lok Ming Lui
Three-dimensional (3D) mappings are fundamental in various scientific and engineering applications, including computer-aided engineering (CAE), computer graphics, and medical imagi…
Parallelizable global quasi-conformal parameterization of multiply-connected surfaces via partial welding
Zhipeng Zhu, Gary P. T. Choi, Lok Ming Lui
Conformal and quasi-conformal mappings have widespread applications in imaging science, computer vision and computer graphics, such as surface registration, segmentation, remeshing…
A unifying framework for -dimensional quasi-conformal mappings
Daoping Zhang, Gary P. T. Choi, Jianping Zhang +1
With the advancement of computer technology, there is a surge of interest in effective mapping methods for objects in higher-dimensional spaces. To establish a one-to-one correspon…
Topology-Preserving 3D Image Segmentation Based On Hyperelastic Regularization
Daoping Zhang, Lok Ming Lui
Image segmentation is to extract meaningful objects from a given image. For degraded images due to occlusions, obscurities or noises, the accuracy of the segmentation result can be…
Harmonic Beltrami Signature: A Novel 2D Shape Representation for Object Classification
Chenran Lin, Lok Ming Lui
There is a growing interest in shape analysis in recent years. We present a novel shape signature for 2D bounded simply-connected domains, named the Harmonic Beltrami signature (HB…
Quasiconformal model with CNN features for large deformation image registration
Ho Law, Gary P. T. Choi, Ka Chun Lam +1
Image registration has been widely studied over the past several decades, with numerous applications in science, engineering and medicine. Most of the conventional mathematical mod…
Free-boundary conformal parameterization of point clouds
Gary P. T. Choi, Yechen Liu, Lok Ming Lui
With the advancement in 3D scanning technology, there has been a surge of interest in the use of point clouds in science and engineering. To facilitate the computations and analyse…