Biharmonic deformation transfer with automatic key point selection

J Yang, L Gao, YK Lai, PL Rosin, S Xia - Graphical Models, 2018 - Elsevier
Deformation transfer is an important research problem in geometry processing and
computer animation. A fundamental problem for existing deformation transfer methods is to …

Feature preserving octree‐based hexahedral meshing

X Gao, H Shen, D Panozzo - Computer graphics forum, 2019 - Wiley Online Library
We propose an octree‐based algorithm to tessellate the interior of a closed surface with
hexahedral cells. The generated hexahedral mesh (1) explicitly preserves sharp features of …

A large-scale comparison of tetrahedral and hexahedral elements for solving elliptic pdes with the finite element method

T Schneider, Y Hu, X Gao, J Dumas, D Zorin… - ACM Transactions on …, 2022 - dl.acm.org
The Finite Element Method (FEM) is widely used to solve discrete Partial Differential
Equations (PDEs) in engineering and graphics applications. The popularity of FEM led to the …

Cubic stylization

HTD Liu, A Jacobson - arXiv preprint arXiv:1910.02926, 2019 - arxiv.org
We present a 3D stylization algorithm that can turn an input shape into the style of a cube
while maintaining the content of the original shape. The key insight is that cubic style …

A Large-Scale Comparison of Tetrahedral and Hexahedral Elements for Solving Elliptic PDEs with the Finite Element Method

T Schneider, Y Hu, X Gao, J Dumas, D Zorin… - arXiv preprint arXiv …, 2019 - arxiv.org
The Finite Element Method (FEM) is widely used to solve discrete Partial Differential
Equations (PDEs) in engineering and graphics applications. The popularity of FEM led to the …

Surface multigrid via intrinsic prolongation

HTD Liu, JE Zhang, M Ben-Chen… - arXiv preprint arXiv …, 2021 - arxiv.org
This paper introduces a novel geometric multigrid solver for unstructured curved surfaces.
Multigrid methods are highly efficient iterative methods for solving systems of linear …

Robust quantization for polycube maps

F Protais, M Reberol, N Ray, E Corman, F Ledoux… - Computer-Aided …, 2022 - Elsevier
An important part of recent advances in hexahedral meshing focuses on the deformation of a
domain into a polycube; the polycube deformed by the inverse map fills the domain with a …

Normal‐Driven Spherical Shape Analogies

HTD Liu, A Jacobson - Computer Graphics Forum, 2021 - Wiley Online Library
This paper introduces a new method to stylize 3D geometry. The key observation is that the
surface normal is an effective instrument to capture different geometric styles. Centered …

Polycube shape space

H Zhao, X Li, W Wang, X Wang, S Wang… - Computer Graphics …, 2019 - Wiley Online Library
There are many methods proposed for generating polycube polyhedrons, but it lacks the
study about the possibility of generating polycube polyhedrons. In this paper, we prove a …

NRO-stylization: A novel algorithm for regular octahedral stylization aesthetic modeling of three-dimensional surface mesh

F Dong, Y Tang, J Zhang, K Qian - PloS one, 2024 - journals.plos.org
Stylization of 3D shapes has been a prominent topic in computer graphics. Geometric
stylization, as a category within 3D shape stylization, has garnered widespread attention …