A review of 3D point clouds parameterization methods

Z Zhu, A Iglesias, L You, JJ Zhang - International Conference on …, 2022 - Springer
Abstract 3D point clouds parameterization is a very important research topic in the fields of
computer graphics and computer vision, which has many applications such as texturing …

Recent developments of surface parameterization methods using quasi-conformal geometry

GPT Choi, LM Lui - Handbook of Mathematical Models and Algorithms in …, 2022 - Springer
Surface parameterization is of fundamental importance for many tasks in computer vision
and imaging. In recent years, computational quasi-conformal geometry has become an …

Tempo: feature-endowed Teichmuller extremal mappings of point clouds

TW Meng, GPT Choi, LM Lui - SIAM Journal on Imaging Sciences, 2016 - SIAM
In recent decades, the use of three-dimensional point clouds has been widespread in the
computer industry. The development of techniques for analyzing point clouds is increasingly …

Area-preserving mesh parameterization for poly-annulus surfaces based on optimal mass transportation

K Su, L Cui, K Qian, N Lei, J Zhang, M Zhang… - … Aided Geometric Design, 2016 - Elsevier
This work proposes a novel method for computing area-preserving parameterization for
genus zero surfaces with multiple boundaries (poly-annuli), which is based on discrete …

Scattered points interpolation with globally smooth b-spline surface using iterative knot insertion

X Jiang, B Wang, G Huo, C Su, DM Yan, Z Zheng - Computer-Aided Design, 2022 - Elsevier
We introduce a new method to interpolate scattered 3D data points with a single B-spline
surface patch which is globally smooth. Given a set of scattered 3D data points and their …

Spherical conformal parameterization of genus-0 point clouds for meshing

GPT Choi, KT Ho, LM Lui - SIAM Journal on Imaging Sciences, 2016 - SIAM
The point cloud is the most fundamental representation of three-dimensional geometric
objects. Analyzing and processing point cloud surfaces is important in computer graphics …

Free-boundary conformal parameterization of point clouds

GPT Choi, Y Liu, LM Lui - Journal of Scientific Computing, 2022 - Springer
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 analyses …

Volume-encoded UV-maps

M Tarini - ACM Transactions on Graphics (TOG), 2016 - dl.acm.org
UV-maps are required in order to apply a 2D texture over a 3D model. Conventional UV-
maps are defined by an assignment of uv positions to mesh vertices. We present an …

A lightweight surface reconstruction method for online 3D scanning point cloud data oriented toward 3D printing

B Sheng, F Zhao, X Yin, C Zhang… - Mathematical …, 2018 - Wiley Online Library
The existing surface reconstruction algorithms currently reconstruct large amounts of mesh
data. Consequently, many of these algorithms cannot meet the efficiency requirements of …

At‐Most‐Hexa Meshes

DR Bukenberger, M Tarini… - Computer Graphics …, 2022 - Wiley Online Library
Volumetric polyhedral meshes are required in many applications, especially for solving
partial differential equations on finite element simulations. Still, their construction bears …