Surface remeshing: A systematic literature review of methods and research directions

D Khan, A Plopski, Y Fujimoto… - IEEE transactions on …, 2020 - ieeexplore.ieee.org
Triangle meshes are used in many important shape-related applications including geometric
modeling, animation production, system simulation, and visualization. However, these …

Reliable feature-line driven quad-remeshing

N Pietroni, S Nuvoli, T Alderighi, P Cignoni… - ACM Transactions on …, 2021 - air.unimi.it
We present a new algorithm for the semi-regular quadrangulation of an input surface, driven
by its line features, such as sharp creases. We define a perfectly feature-aligned cross-field …

Chebyshev nets from commuting PolyVector fields

AO Sageman-Furnas, A Chern, M Ben-Chen… - ACM Transactions on …, 2019 - dl.acm.org
We propose a method for computing global Chebyshev nets on triangular meshes. We
formulate the corresponding global parameterization problem in terms of commuting …

Which cross fields can be quadrangulated? Global parameterization from prescribed holonomy signatures

H Shen, L Zhu, R Capouellez, D Panozzo… - ACM Transactions on …, 2022 - dl.acm.org
We describe a method for the generation of seamless surface parametrizations with
guaranteed local injectivity and full control over holonomy. Previous methods guarantee …

Feature-aware reconstruction of trimmed splines using Ricci flow with metric optimization

KM Shepherd, XD Gu, TJR Hughes - Computer Methods in Applied …, 2022 - Elsevier
The lack of a compelling tool to automatically or semi-automatically create analysis-suitable
spline spaces hampers the progress of the isogeometric framework. In this work, we review …

Towards untrimmed NURBS: CAD embedded reparameterization of trimmed B-rep geometry using frame-field guided global parameterization

RR Hiemstra, KM Shepherd, MJ Johnson… - Computer Methods in …, 2020 - Elsevier
The boundary representation or B-rep is the prevalent geometry description in computer
aided design (CAD). It combines aspects from explicit and implicit geometry and is …

Fast shadow casting algorithm in analytical polygon-based computer-generated holography

J Dong, BR Yang, Z Qin - Optics Express, 2023 - opg.optica.org
Shadow casting is essential in computer graphics, which can significantly enhance the
reality of rendered images. However, shadow casting is rarely studied in polygon-based …

NURBS-based surface generation from 3D images: spectral construction and data-driven model selection

A Perney, S Bordas, P Kerfriden - Journal of Computational …, 2023 - academic.oup.com
In this paper, we present a set of improved algorithms for recovering computer aided design
(CAD-type) surface models from three-dimensional (3D) images. The goal of the proposed …

Parametrization quantization with free boundaries for trimmed quad meshing

M Lyon, M Campen, D Bommes, L Kobbelt - ACM Transactions on …, 2019 - dl.acm.org
The generation of quad meshes based on surface parametrization techniques has proven to
be a versatile approach. These techniques quantize an initial seamless parametrization so …

A boundary element-based automatic domain partitioning approach for semi-structured quad mesh generation

Z Xiao, S He, G Xu, J Chen, Q Wu - Engineering Analysis with Boundary …, 2020 - Elsevier
In this paper, a boundary element-based approach is proposed for partitioning a planar
domain automatically into a set of 4-sided regions, which is suitable for semi-structured quad …