An intelligent metaheuristic binary pigeon optimization-based feature selection and big data classification in a MapReduce environment

F Abukhodair, W Alsaggaf, AT Jamal, S Abdel-Khalek… - Mathematics, 2021 - mdpi.com
Big Data are highly effective for systematically extracting and analyzing massive data. It can
be useful to manage data proficiently over the conventional data handling approaches …

Generalized B-splines as a tool in isogeometric analysis

C Manni, F Pelosi, ML Sampoli - Computer Methods in Applied Mechanics …, 2011 - Elsevier
The concept of isogeometric analysis has been proposed in [13], where NURBS are
considered as basis of the analysis, thanks to their ability to construct an exact geometric …

Review of subdivision schemes and their applications

Y Liu, H Shou, K Ji - Recent Patents on Engineering, 2022 - ingentaconnect.com
Background: Methods of subdivision surfaces modeling and related technology research
have become a hot spot in the field of Computer-Aided Design (CAD) and Computer …

A unified interpolatory subdivision scheme for quadrilateral meshes

C Deng, W Ma - ACM Transactions on Graphics (TOG), 2013 - dl.acm.org
For approximating subdivision schemes, there are several unified frameworks for effectively
constructing subdivision surfaces generalizing splines of an arbitrary degree. In this article …

[HTML][HTML] Algebraic hyperbolic spline quasi-interpolants and applications

S Eddargani, A Lamnii, M Lamnii, D Sbibih… - Journal of Computational …, 2019 - Elsevier
In this paper, a construction of Marsden's identity for UAH B-splines (ie Uniform Algebraic
Hyperbolic B-splines) is developed and a clear proof is given. With the help of this identity …

α-B-splines non-stationary subdivision schemes for grids of arbitrary topology design

D Barrera, A Lamnii, MY Nour, A Zidna - Computers & Graphics, 2022 - Elsevier
This paper proposes a new class of B-spline-like functions that blend trigonometric and
hyperbolic functions. A new family of non-stationary subdivision schemes of order k≥ 3 has …

[HTML][HTML] Exponential pseudo-splines: looking beyond exponential B-splines

C Conti, L Gemignani, L Romani - Journal of Mathematical Analysis and …, 2016 - Elsevier
Pseudo-splines are a rich family of functions that allows the user to meet various demands
for balancing polynomial reproduction (ie, approximation power), regularity and support …

A reverse non-stationary generalized B-splines subdivision scheme

A Lamnii, MY Nour, A Zidna - Mathematics, 2021 - mdpi.com
In this paper, two new families of non-stationary subdivision schemes are introduced. The
schemes are constructed from uniform generalized B-splines with multiple knots of orders 3 …

Algorithm 1020: Computation of multi-degree Tchebycheffian B-splines

H Speleers - ACM Transactions on Mathematical Software (TOMS), 2022 - dl.acm.org
Multi-degree Tchebycheffian splines are splines with pieces drawn from extended
(complete) Tchebycheff spaces, which may differ from interval to interval, and possibly of …

Generalized spline quasi-interpolants and applications to numerical analysis

A Lamnii, MY Nour, D Sbibih, A Zidna - Journal of Computational and …, 2022 - Elsevier
In this work, we first establish a general Marsden's identity for Unified and Extended B-
splines (UE B-splines or Omega B-splines for short). Then, by using this result, we construct …