Non-stationary subdivision schemes: State of the art and perspectives

C Conti, N Dyn - Approximation Theory XVI: Nashville, TN, USA, May 19 …, 2021 - Springer
This paper reviews the state of the art of non-stationary subdivision schemes, which are
iterative procedures for generating smooth objects from discrete data, by repeated level …

Probability density estimation and Bayesian causal analysis based fault detection and root identification

X Chen, J Wang, JL Zhou - Industrial & Engineering Chemistry …, 2018 - ACS Publications
Fault detection and diagnosis, as an important means to ensure industrial safety and
profitability, has been given much attention. The traditional Bayesian network (BN) that is a …

A non-stationary Catmull–Clark subdivision scheme with shape control

B Zhang, H Zheng, W Song - Graphical Models, 2019 - Elsevier
In this paper, a non-stationary Catmull–Clark subdivision scheme is presented which
enables the user to change the shape of the surface obtained from a given initial mesh …

An efficient computational approach for computing subdivision depth of non-stationary binary subdivision schemes

SA Abdul Karim, F Khan, G Mustafa, A Shahzad… - Mathematics, 2023 - mdpi.com
Subdivision schemes are equipped with some rules that take a polygon as an input and
produce smooth curves or surfaces as an output. This presents the issue of how accurately …

Non-uniform subdivision schemes of ωB-spline curves and surfaces with variable parameters

A Lamnii, MY Nour, D Sbibih, A Zidna - Computer-Aided Design, 2023 - Elsevier
In this paper, we propose a new non-uniform subdivision scheme that includes a tension
parameters sequence. Each tension parameter of the sequence is assigned at each edge of …

Active subdivision surfaces for the semiautomatic segmentation of biomedical volumes

A Badoual, L Romani, M Unser - IEEE Transactions on Image …, 2021 - ieeexplore.ieee.org
We present a new family of active surfaces for the semiautomatic segmentation of volumetric
objects in 3D biomedical images. We represent our deformable model by a subdivision …

MTH subdivision scheme with sharp and semi-sharp features

MY Nour, D Barrera, A Lamnii, A Zidna - Journal of Computational and …, 2024 - Elsevier
In this paper, a new non-stationary bivariate subdivision scheme is proposed to obtain a
more flexible limit surface. By rewriting the univariate subdivision scheme (Fakhar et al …

Convergence and normal continuity analysis of nonstationary subdivision schemes near extraordinary vertices and faces

C Conti, M Donatelli, L Romani, P Novara - Constructive Approximation, 2019 - Springer
Convergence and normal continuity analysis of a bivariate nonstationary (level-dependent)
subdivision scheme for 2-manifold meshes with arbitrary topology is still an open issue …

[HTML][HTML] A point-normal interpolatory subdivision scheme preserving conics

N Bügel, L Romani, J Kosinka - Computer Aided Geometric Design, 2024 - Elsevier
The use of subdivision schemes in applied and real-world contexts requires the
development of conceptually simple algorithms that can be converted into fast and efficient …

A mixed hyperbolic/trigonometric non‐stationary subdivision scheme for arbitrary topology meshes

D Barrera, A Lamnii, MY Nour… - Mathematical Methods in …, 2022 - Wiley Online Library
In this paper, a new non‐stationary mixed scheme constructed from hyperbolic and
trigonometric schemes is presented. It is characterized by a shape parameter that allows the …