43 citations · 119 across the 22 of their papers we have counts for
15 papers · 1 filter
Harmonic Beltrami Signature Network: a Shape Prior Module in Deep Learning Framework
Chenran Lin, Lok Ming Lui
This paper presents the Harmonic Beltrami Signature Network (HBSN), a novel deep learning architecture for computing the Harmonic Beltrami Signature (HBS) from binary-like images.…
A Registration-Based Star-Shape Segmentation Model and Fast Algorithms
Daoping Zhang, Xue-Cheng Tai, Lok Ming Lui
Image segmentation plays a crucial role in extracting objects of interest and identifying their boundaries within an image. However, accurate segmentation becomes challenging when…
Circular Quasiconformal Deturbulence: Geometry-Based Restoration from Multiple Turbulent Frames
Chu Chen, Han Zhang, Lok Ming Lui
Imaging through inhomogeneous media often results in severe distortions, posing significant challenges to downstream image-processing tasks. The lack of clean paired images makes s…
Quasi-Conformal Convolution : A Learnable Convolution for Deep Learning on Simply Connected Open Surfaces
Han Zhang, Tsz Lok Ip, Lok Ming Lui
Deep learning on non-Euclidean domains is important for analyzing complex geometric data that lacks common coordinate systems and familiar Euclidean properties. A central challenge…
Deep Learning-Based Quasi-Conformal Surface Registration for Partial 3D Faces Applied to Facial Recognition
Yuchen Guo, Hanqun Cao, Lok Ming Lui
3D face registration is an important process in which a 3D face model is aligned and mapped to a template face. However, the task of 3D face registration becomes particularly chall…
A Learning-based Framework for Topology-Preserving Segmentation using Quasiconformal Mappings
Han Zhang, Lok Ming Lui
We propose the Topology-Preserving Segmentation Network, a deformation-based model that can extract objects in an image while maintaining their topological properties. This network…
Automatic Landmark Detection and Registration of Brain Cortical Surfaces via Quasi-Conformal Geometry and Convolutional Neural Networks
Yuchen Guo, Qiguang Chen, Gary P. T. Choi +1
In medical imaging, surface registration is extensively used for performing systematic comparisons between anatomical structures, with a prime example being the highly convoluted b…
A Deep Learning Framework for Diffeomorphic Mapping Problems via Quasi-conformal Geometry applied to Imaging
Qiguang Chen, Zhiwen Li, Lok Ming Lui
Many imaging problems can be formulated as mapping problems. A general mapping problem aims to obtain an optimal mapping that minimizes an energy functional subject to the given co…
Decomposition of Longitudinal Deformations via Beltrami Descriptors
Ho Law, Lok Ming Lui, Chun Yin Siu
We present a mathematical model to decompose a longitudinal deformation into normal and abnormal components. The goal is to detect and extract subtle quivers from periodic motions…
Quasi-conformal Geometry based Local Deformation Analysis of Lateral Cephalogram for Childhood OSA Classification
Hei-Long Chan, Hoi-Man Yuen, Chun-Ting Au +3
Craniofacial profile is one of the anatomical causes of obstructive sleep apnea(OSA). By medical research, cephalometry provides information on patients' skeletal structures and so…
Tooth morphometry using quasi-conformal theory
Gary P. T. Choi, Hei Long Chan, Robin Yong +5
Shape analysis is important in anthropology, bioarchaeology and forensic science for interpreting useful information from human remains. In particular, teeth are morphologically st…
Subsampled Turbulence Removal Network
Wai Ho Chak, Chun Pong Lau, Lok Ming Lui
We present a deep-learning approach to restore a sequence of turbulence-distorted video frames from turbulent deformations and space-time varying blurs. Instead of requiring a mass…
Variational models for joint subsampling and reconstruction of turbulence-degraded images
Chun Pong Lau, Yu Hin Lai, Lok Ming Lui
Turbulence-degraded image frames are distorted by both turbulent deformations and space-time-varying blurs. To suppress these effects, we propose a multi-frame reconstruction schem…
Image retargeting via Beltrami representation
Chun Pong Lau, Chun Pang Yung, Lok Ming Lui
Image retargeting aims to resize an image to one with a prescribed aspect ratio. Simple scaling inevitably introduces unnatural geometric distortions on the important content of th…
Restoration of Atmospheric Turbulence-distorted Images via RPCA and Quasiconformal Maps
Chun Pong Lau, Yu Hin Lai, Lok Ming Lui
We address the problem of restoring a high-quality image from an observed image sequence strongly distorted by atmospheric turbulence. A novel algorithm is proposed in this paper t…