Results 51 to 60 of about 32,621 (175)

Generalized Rational B‐Spline Bases via Homographic Parametrization and Applications

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
A new class of rational parametrization has been developed and was used to generate a new family of rational B‐splines, αGiki=0k, which depend on a parameter α ∈ (−∞, 0) ∪ (1, +∞). This family of functions satisfies, among other properties, positivity and the partition of unity.
Mohamed Allaoui, Jamal Adetola, Koffi Wilfrid Houédanou, Aurélien Goudjo, Kareem Elgindy   +4 more
wiley   +1 more source

Curvature comparison of Bézier curve, ball curve and trigonometric curve in preserving the positivity of real data

, 2022
Link to publisher's homepage at https://amci.unimap.edu.my/The curvature of a curve is important in designing roads, construction of smooth surfaces, or grinding workpieces.
Md Yushalify, Misro, Afida, Ahmad
core  

A Computational Analysis of Error Bounds for Novel α‐Baskakov–Kantorovich Operators and Graphical Representation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study introduces a novel family of hybrid Kantorovich‐type operators for the Baskakov–Schurer–Stancu class, integrated with a shape parameter α ∈ [0, 1]. We establish fundamental estimates and evaluate both the rate of convergence and the order of approximation utilizing the Korovkin theorem and the modulus of smoothness.
Md. Nasiruzzaman, Nadeem Rao, Amel Souhail, Fahad Maqbul Alamrani, M. Mursaleen, Smritijit Sen   +5 more
wiley   +1 more source

Review of artificial intelligence applications in geothermal energy extraction from hot dry rock

Deep Underground Science and Engineering, Volume 4, Issue 4, Page 651-672, December 2025.
This paper systematically summarized the applications of artificial intelligence (AI) in hot dry rock (HDR) geothermal exploitation and discussed the limitations and opportunities. A novel intelligent HDR exploitation system was proposed to promote the development of HDR toward more efficiency, economy, and intelligence.
Kun Ji, Hong Li, Yu Zhao, Kaoshan Dai, Sai Liu, Chun'an Tang   +5 more
wiley   +1 more source

Novel Surface‐Based Bézier Metamaterials: A Higher Degree of Parametrization toward Tailoring the Effective Properties under Compression

Advanced Engineering Materials, Volume 27, Issue 22, November 2025.
Cubic Bézier curves are used in the synthesis of novel surface‐based metamaterials with tunable mechanical properties. Surface‐based geometries are 3D printed and tested in compression. The resulting mechanical properties are correlated to changes in the shape of the base curve, with high potential in energy absorption through the adjustment of their ...
Alberto Álvarez‐Trejo, Enrique Cuan‐Urquizo, Armando Roman‐Flores   +2 more
wiley   +1 more source

Validity of Lagrange (Bézier) and rational Bézier quads of degree 2

, 2014
International audienceFinite elements of degree two or more are needed to solve various PDE problems. This paper discusses a method to validate such meshes for the case of quadrilateral elements of degree 2.
H. Borouchaki, Borouchaki, Houman, P.L. George, George, Paul-Louis   +3 more
core   +1 more source

Rupture of the 1949 Khait Earthquake on a Cryptic Fault: Implications for Earthquake Hazard

Tectonics, Volume 44, Issue 10, October 2025.
Abstract The 1949 Mw 7.6 Khait earthquake, Tajikistan, was one of the most destructive of the Pamir—Tien Shan region, killing over 7,000 people by building collapse and landsliding. It occurred at the transition between the Pamir and Tien Shan mountain ranges, which converge along the narrow Vashkh river valley.
B. W. W. Johnson, G. Kulikova, E. A. Bergman, F. Krueger, I. K. Pierce, J. Hollingsworth, R. T. Walker   +6 more
wiley   +1 more source

Procedural Multiscale Geometry Modeling using Implicit Surfaces

Computer Graphics Forum, Volume 44, Issue 7, October 2025.
Abstract Materials exhibit geometric structures across mesoscopic to microscopic scales, influencing macroscale properties such as appearance, mechanical strength, and thermal behavior. Capturing and modeling these multiscale structures is challenging but essential for computer graphics, engineering, and materials science.
Bojja Venu, Adam Bosak, Juan Raúl Padrón‐Griffe   +2 more
wiley   +1 more source

Rational quadratic Bézier curve fitting by simulated annealing technique

, 2013
A metaheuristic algorithm, which is an approximation method called simulated annealing is implemented in order to have the best rational quadratic Bézier curve from a given data points.
Abd Rahni, Mt Piah, Najihah, Mohamed, Ahmad, Abd Majid   +2 more
core  

Construction of Bernstein‐Based Words and Their Patterns

Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12819-12836, September 2025.
ABSTRACT In this paper, with inspiration of the definition of Bernstein basis functions and their recurrence relation, we give construction of a new word family that we refer Bernstein‐based words. By classifying these special words as the first and second kinds, we investigate their some fundamental properties involving periodicity and symmetricity ...
Irem Kucukoglu, Yilmaz Simsek
wiley   +1 more source