87 citations · 437 across the 38 of their papers we have counts for
16 papers · 1 filter
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…
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…
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 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…
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…
Inconsistent Surface Registration via Optimization of Mapping Distortions
Di Qiu, Lok-Ming Lui
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…
Parallelizable global conformal parameterization of simply-connected surfaces via partial welding
Gary P. T. Choi, Yusan Leung-Liu, Xianfeng Gu +1
Conformal surface parameterization is useful in graphics, imaging and visualization, with applications to texture mapping, atlas construction, registration, remeshing and so on. Wi…
Fast Spherical Quasiconformal Parameterization of Genus-0 Closed Surfaces with Application to Adaptive Remeshing
Gary Pui-Tung Choi, Mandy Hiu-Ying Man, Lok Ming Lui
In this work, we are concerned with the spherical quasiconformal parameterization of genus-0 closed surfaces. Given a genus-0 closed triangulated surface and an arbitrary user-defi…
TEMPO: Feature-Endowed Teichmüller Extremal Mappings of Point Clouds
Ting Wei Meng, Gary Pui-Tung Choi, Lok Ming Lui
In recent decades, the use of 3D point clouds has been widespread in computer industry. The development of techniques in analyzing point clouds is increasingly important. In partic…
The Theory of Computational Quasi-conformal Geometry on Point Clouds
Ting Wei Meng, Lok Ming Lui
Quasi-conformal (QC) theory is an important topic in complex analysis, which studies geometric patterns of deformations between shapes. Recently, computational QC geometry has been…
Spherical Conformal Parameterization of Genus-0 Point Clouds for Meshing
Gary Pui-Tung Choi, Kin Tat Ho, Lok Ming Lui
Point cloud is the most fundamental representation of 3D geometric objects. Analyzing and processing point cloud surfaces is important in computer graphics and computer vision. How…
A Linear Formulation for Disk Conformal Parameterization of Simply-Connected Open Surfaces
Gary Pui-Tung Choi, Lok Ming Lui
Surface parameterization is widely used in computer graphics and geometry processing. It simplifies challenging tasks such as surface registrations, morphing, remeshing and texture…
Fast Disk Conformal Parameterization of Simply-connected Open Surfaces
Pui Tung Choi, Lok Ming Lui
Surface parameterizations have been widely used in computer graphics and geometry processing. In particular, as simply-connected open surfaces are conformally equivalent to the uni…
QCMC: Quasi-conformal Parameterizations for Multiply-connected domains
Kin Tat Ho, Lok Ming Lui
This paper presents a method to compute the {\it quasi-conformal parameterization} (QCMC) for a multiply-connected 2D domain or surface. QCMC computes a quasi-conformal map from a…
Landmark-matching Transformation with Large Deformation via n-dimensional Quasi-conformal Maps
Lee Yin Tat, Lam Ka Chun, Lui Lok Ming
We propose a new method to obtain landmark-matching transformations between n-dimensional Euclidean spaces with large deformations. Given a set of feature correspondences, our algo…
Geometric Registration of High-genus Surfaces
Chengfeng Wen, Lok Ming Lui
This paper presents a method to obtain geometric registrations between high-genus () surfaces. Surface registration between simple surfaces, such as simply-connected open…