Neural-Singular-Hessian: Implicit Neural Representation of Unoriented Point Clouds by Enforcing Singular Hessian

Z Wang, Y Zhang, R Xu, F Zhang, PS Wang… - ACM Transactions on …, 2023 - dl.acm.org
Neural implicit representation is a promising approach for reconstructing surfaces from point
clouds. Existing methods combine various regularization terms, such as the Eikonal and …

Converting pixel‐type topology optimization results to MMC‐representation based on sparse optimization and its applications

R Ling, G Xu, X Zhang, J Xu… - International Journal for …, 2024 - Wiley Online Library
How to realize the switching between various topology optimization approaches such as
SIMP and moving morphable component (MMC) method, is a crucial challenge in the field of …

Neural-imls: Self-supervised implicit moving least-squares network for surface reconstruction

Z Wang, P Wang, P Wang, Q Dong… - … on Visualization and …, 2023 - ieeexplore.ieee.org
Surface reconstruction is a challenging task when input point clouds, especially real scans,
are noisy and lack normals. Observing that the Multilayer Perceptron (MLP) and the implicit …

NeurCADRecon: Neural Representation for Reconstructing CAD Surfaces by Enforcing Zero Gaussian Curvature

Q Dong, R Xu, P Wang, S Chen, S Xin, X Jia… - arXiv preprint arXiv …, 2024 - arxiv.org
Despite recent advances in reconstructing an organic model with the neural signed distance
function (SDF), the high-fidelity reconstruction of a CAD model directly from low-quality …

Phase-field guided surface reconstruction based on implicit hierarchical B-splines

M Pan, W Tong, F Chen - Computer Aided Geometric Design, 2017 - Elsevier
Constructing smooth surface representations from point clouds is a fundamental problem in
geometric modeling and computer graphics, and a wealthy of literature has focused on this …

Molecular sparse representation by a 3d ellipsoid radial basis function neural network via l1 regularization

S Gui, Z Chen, B Lu, M Chen - Journal of Chemical Information …, 2020 - ACS Publications
The three-dimensional structures and shapes of biomolecules provide essential information
about their interactions and functions. Unfortunately, the computational cost of biomolecular …

Point cloud surface reconstruction using sparse ellipsoid radial basis function neural network

D Wang, H Chen, C Wu, M Chen - 2021 IEEE 5th Information …, 2021 - ieeexplore.ieee.org
In this paper, we propose a method of reconstructing surface from point cloud using sparse
ellipsoid radial basis functions (RBFs). The experimental results illustrate that our method …

A survey on geometric shape representation of objects based on medial axis transform

J Yao, H Zhang, X Li, M Ge, W Xie, Y Yang - Metaverse, 2023 - aber.apacsci.com
Geometric shape representation algorithms are key technologies in the fields of computer
graphics and geometric modeling. The Medial Axis Transform (MAT) is an important …

Sparse Representation of Gaussian Molecular Surface

S Gui, M Chen, B Lu - arXiv preprint arXiv:1909.09095, 2019 - arxiv.org
In this paper, we propose a model and algorithm for sparse representing Gaussian
molecular surface. The original Gaussian molecular surface is approximated by a relatively …