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Curves defined by a class of discrete operators: Approximation result and applications
Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2388-2403, 30 January 2025.In approximation theory, classical discrete operators, like generalized sampling, Szász‐Mirak'jan, Baskakov, and Bernstein operators, have been extensively studied for scalar functions. In this paper, we look at the approximation of curves by a class of discrete operators, and we exhibit graphical examples concerning several cases. The topic has useful
Rosario Corso, Gabriele Gucciardi
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The Future of NURBS in CAD: Trends and Innovations [PDF]
MATEC Web of ConferencesNon-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 +2 more
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Linkage and Cam Design with MechDev based on Non-Uniform Rational B-Splines
Machines, 2020 Several software products exist in order to support engineers during the mechanism design process. The software “Mechanism Developer” (abbr. MechDev) is one of these products. MechDev provides many functionalities concerning the kinematic and
Mario Müller +3 more
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Research on the Lightweight Design of an Aircraft Support Based on Lattice-Filled Structures
Mathematics, 2022 This work studied the lightweight design of an aircraft support based on lattice-filled structures. Different from the traditional design process of lattice-filled structures, this work combined several approaches, including topology optimization ...
Zhou Huang, Yong Liu, Xin Huang, Dong Mu
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CONIC SECTIONS - AN INTRODUCTION TO THE RATIONAL SPLINES [PDF]
, 1992 The rational splines have been included in the IGES (International Graphics Exchange Specification) standard for about ten years, but they have been subjects of interest since 1967 [1].
LEDNECZKI, P.
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Ruling Based Design Method of Curved Origami
JAPAN ARCHITECTURAL REVIEW, Volume 8, Issue 1, January–December 2025.ABSTRACT Curved origami attracts the attention of designers in recent years for the potential in the field of building structures for free form curved design. For practical use, the design methods are required to link the mathematically obtained curved surface and the requirements of architectural functions.
Tianhao Zhang, Ken'ichi Kawaguchi
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IGA-based Multi-Index Stochastic Collocation for random PDEs on arbitrary domains
, 2019 This paper proposes an extension of the Multi-Index Stochastic Collocation (MISC) method for forward uncertainty quantification (UQ) problems in computational domains of shape other than a square or cube, by exploiting isogeometric analysis (IGA ...
Beck, Joakim +2 more
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Applied Bionics and Biomechanics, Volume 2025, Issue 1, 2025.Objective This study explores the application of Eurasian eagle‐owl wing characteristics to the design of folding wings for flying cars. By analyzing the aerodynamics of the eagle‐owl wing, we aim to innovate folding wing configurations to improve lift, reduce drag, enhance flight stability, and ultimately increase the overall energy efficiency and ...
Zhengjun Li +3 more
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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 +2 more
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A GEOMETRIC PROCESSING WORKFLOW FOR TRANSFORMING REALITY-BASED 3D MODELS IN VOLUMETRIC MESHES SUITABLE FOR FEA [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2017 Conservation of Cultural Heritage is a key issue and structural changes and damages can influence the mechanical behaviour of artefacts and buildings. The use of Finite Elements Methods (FEM) for mechanical analysis is largely used in modelling stress ...
S. Gonizzi Barsanti, G. Guidi
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