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In medical imaging, surface registration is extensively used for performing systematic comparisons between anatomical structures, with a prime example being the highly convoluted brain cortical surfaces. To obtain a meaningful registration,…

Computer Vision and Pattern Recognition · Computer Science 2022-08-16 Yuchen Guo , Qiguang Chen , Gary P. T. Choi , Lok Ming Lui

Registration, which aims to find an optimal one-to-one correspondence between different data, is an important problem in various fields. This problem is especially challenging when large deformations occur. In this paper, we present a novel…

Differential Geometry · Mathematics 2013-10-08 Lam Ka Chun , 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 constraints. Existing methods to solve the mapping problems…

Computer Vision and Pattern Recognition · Computer Science 2022-08-16 Qiguang Chen , Zhiwen Li , Lok Ming Lui

Image registration has been widely studied over the past several decades, with numerous applications in science, engineering and medicine. Most of the conventional mathematical models for large deformation image registration rely on…

Computer Vision and Pattern Recognition · Computer Science 2022-06-30 Ho Law , Gary P. T. Choi , Ka Chun Lam , Lok Ming Lui

We present a novel non-iterative learnable method for partial-to-partial 3D shape registration. The partial alignment task is extremely complex, as it jointly tries to match between points and identify which points do not appear in the…

Computer Vision and Pattern Recognition · Computer Science 2022-01-28 Dvir Ginzburg , Dan Raviv

Cortical surface registration is a fundamental tool for neuroimaging analysis that has been shown to improve the alignment of functional regions relative to volumetric approaches. Classically, image registration is performed by optimizing a…

Computer Vision and Pattern Recognition · Computer Science 2022-03-25 Mohamed A. Suliman , Logan Z. J. Williams , Abdulah Fawaz , Emma C. Robinson

Registration, which aims to find an optimal 1-1 correspondence between shapes, is an important process in different research areas. Conformal mappings have been widely used to obtain a diffeomorphism between shapes that minimizes angular…

Computational Geometry · Computer Science 2012-11-13 Lok Ming Lui , Ka Chun Lam , Shing-Tung Yau , Xianfeng Gu

Dense vertex-to-vertex correspondence between 3D faces is a fundamental and challenging issue for 3D&2D face analysis. While the sparse landmarks have anatomically ground-truth correspondence, the dense vertex correspondences on most facial…

Computer Vision and Pattern Recognition · Computer Science 2021-09-24 Zhenfeng Fan , Silong Peng , Shihong Xia

This paper presents a fully automatic registration method of dental cone-beam computed tomography (CBCT) and face scan data. It can be used for a digital platform of 3D jaw-teeth-face models in a variety of applications, including 3D…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Hyoung Suk Park , Chang Min Hyun , Sang-Hwy Lee , Jin Keun Seo , Kiwan Jeon

Facial landmarks are highly correlated with each other since a certain landmark can be estimated by its neighboring landmarks. Most of the existing deep learning methods only use one fully-connected layer called shape prediction layer to…

Computer Vision and Pattern Recognition · Computer Science 2019-04-26 Zhiwen Shao , Hengliang Zhu , Xin Tan , Yangyang Hao , Lizhuang Ma

Surface mapping plays an important role in geometric processing. They induce both area and angular distortions. If the angular distortion is bounded, the mapping is called a {\it quasi-conformal} map. Many surface maps in our physical world…

Numerical Analysis · Mathematics 2024-07-29 W. Zeng , L. M. Lui , F. Luo , J. S. Liu , T. F. Chan , S. T. Yau , X. F. Gu

3D facial landmark localization has proven to be of particular use for applications, such as face tracking, 3D face modeling, and image-based 3D face reconstruction. In the supervised learning case, such methods usually rely on 3D landmark…

Computer Vision and Pattern Recognition · Computer Science 2024-05-31 David Ferman , Pablo Garrido , Gaurav Bharaj

We propose a novel way of computing surface folding maps via solving a linear PDE. This framework is a generalization to the existing quasiconformal methods and allows manipulation of the geometry of folding. Moreover, the crucial quantity…

Computational Geometry · Computer Science 2019-04-12 Di Qiu , Ka-Chun Lam , 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 in this field is to define convolution on domains, which…

Computer Vision and Pattern Recognition · Computer Science 2026-03-25 Han Zhang , Tsz Lok Ip , Lok Ming Lui

We present a simple, flexible, and general framework titled Partial Registration Network (PRNet), for partial-to-partial point cloud registration. Inspired by recently-proposed learning-based methods for registration, we use deep networks…

Machine Learning · Computer Science 2019-10-30 Yue Wang , Justin M. Solomon

Face recognition has been of great importance in many applications as a biometric for its throughput, convenience, and non-invasiveness. Recent advancements in deep Convolutional Neural Network (CNN) architectures have boosted significantly…

Computer Vision and Pattern Recognition · Computer Science 2020-10-01 Zhiqian You , Tingting Yang , Miao Jin

We address the problem of registering two surfaces, of which a natural bijection between them does not exist. More precisely, only a partial subset of the source surface is assumed to be in correspondence with a subset of the target…

Computational Geometry · Computer Science 2020-04-10 Di Qiu , Lok-Ming Lui

Existing deep learning based facial landmark detection methods have achieved excellent performance. These methods, however, do not explicitly embed the structural dependencies among landmark points. They hence cannot preserve the geometric…

Computer Vision and Pattern Recognition · Computer Science 2022-06-29 Lisha Chen , Hui Su , Qiang Ji

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 to enhance facial classification and recognition tasks…

Computer Vision and Pattern Recognition · Computer Science 2025-06-12 Houting Li , Mengxuan Dong , Lok Ming Lui

Three-dimensional (3D) mappings are fundamental in various scientific and engineering applications, including computer-aided engineering (CAE), computer graphics, and medical imaging. They are typically represented and stored as…

Graphics · Computer Science 2025-09-03 Qiguang Chen , Lok Ming Lui
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