Results 51 to 60 of about 23,352,272 (162)

Comparison of intersection algorithms for SBR ray tracing on NURBS

, 2022
S.267-268Non-Uniform Rational B-Splines (NURBS) are a very efficient way of representing arbitrary curved surfaces. However, this type of surface representation is based on a complex mathematical formulation, which requires a very efficient ...
Weinmann, F.
core   +1 more source

The Future of NURBS in CAD: Trends and Innovations [PDF]

MATEC Web of Conferences
Non-Uniform Rational B-Splines (NURBS) remain central to CAD. Their key strength lies in precision, especially for modeling intricate curves and surfaces. Engineers continue to rely on them. Yet technology advances.
Outaybi Hajar, El Khalfi Ahmed, El Makaoui Jawad   +2 more
doaj   +1 more source

Aerodynamic Characteristics Optimization Design of the HALE Joined‐Wing Configuration UAV

International Journal of Aerospace Engineering, Volume 2026, Issue 1, 2026.
This study investigates the factors influencing the aerodynamic performance enhancement of the rear wing of the joined‐wing configuration UAVs by analyzing the flow field structure and flow mechanisms before and after airfoil optimization. Correspondingly, an optimization design concept tailored to joined‐wing aircraft is proposed. Focusing on the rear
Junlei Sun, Zhou Zhou, TserendondogTengis, Jian Zhang, Rongchun Zhang   +4 more
wiley   +1 more source

An optimization method for radial NURBS surfaces [PDF]

, 2014
We study the use of non-uniform rational B-splines (NURBS) for describing axially symmetric surfaces in the design of imaging optical systems. We suggest a representation using a base sphere with an additional NURBS curve.
Werner, Jürgen, Hillenbrand, Matthias, Sinzinger, Stefan, Zhao, Mingcheng   +3 more
core  

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

Simulation of flow through dam foundation by isogeometric method

Engineering Science and Technology, an International Journal, 2015
This research introduces a numerical approach called IsoGeometric Analysis (IGA) to solve the Laplace equation. Non-Uniform Rational B-Splines (NURBS) basis function is applied for approximation of the anisotropic saturated porous media of dam foundation
Mehrdad Shahrbanozadeh, Gholam-Abbas Barani, Saeed Shojaee   +2 more
doaj   +1 more source

Proposal of a Parameterized Methodology for the Hydrodynamic Design of High‐Efficiency Pelton Rotors Validated by Multiphase CFD Simulations

International Journal of Rotating Machinery, Volume 2026, Issue 1, 2026.
This work presents and validates a direct analytical methodology for the parametric hydrodynamic design of Pelton rotors. The proposed approach combines a one‐dimensional theoretical framework for defining global geometric rotor parameters with an inductive method for generating bucket geometry, formalized from a comprehensive mapping of a high ...
Daniel O. Silva, Ramiro Gustavo Ramirez Camacho, Celso Antonio B. Sales Junior, Angie Lizeth Espinosa Sarmiento, Pramita Mishra   +4 more
wiley   +1 more source

Evolutionary Design via Indirect Encoding of Non-Uniform Rational Basis Splines

, 2015
A novel approach to produce 2D designs by adapting the HyperNEAT algorithm to evolve non-uniform rational basis splines (NURBS) is presented. This representation is proposed as an alternative to previous pixel-based approaches primarily motivated by ...
Gaier, Adam
core   +2 more sources

Comparing cranial biomechanics between Barbourofelis fricki and Smilodon fatalis: Is there a universal killing‐bite among saber‐toothed predators?

The Anatomical Record, Volume 308, Issue 11, Page 2962-2975, November 2025.
Abstract Saber‐tooths, extinct apex predators with long and blade‐like upper canines, have appeared iteratively at least five times in the evolutionary history of vertebrates. Although saber‐tooths exhibit a relatively diverse range of morphologies, it is widely accepted that all killed their prey using the same predatory behavior. In this study, we CT‐
Borja Figueirido, Shane Tucker, Stephan Lautenschlager   +2 more
wiley   +1 more source

Comparative Study on the Interest in Non-Uniform Rational B-Splines Representation versus Polynomial Surface Description in a Freeform Three-Mirror Anastigmat

Photonics
Novel freeform optical design methods can be classified in two categories, depending on whether they focus on the generation of a starting point or the development of new optimization tools.
Clément Freslier, Guillaume Druart, Alice Fontbonne, Thierry Lépine, Christophe Buisset, Tibor Agocs, Arnaud Heliere, Fanny Keller, Jean-Baptiste Volatier, Stéphane Beaussier, Paul Jougla   +10 more
doaj   +1 more source