Results 91 to 100 of about 59,698 (230)
Register‐Efficient Linear‐Time Evaluation in the Bernstein Basis
Computer Graphics Forum, EarlyView.Abstract We investigate the evaluation of points and derivatives of Bézier curves and surfaces on modern architectures, focusing on performance and guided by numerical error bounds. While the de Casteljau algorithm remains the reference for numerical robustness, its linear working‐set size imposes substantial register pressure on GPUs.
Gábor Valasek, Anna Lili Horváth
wiley +1 more source
Combined Shepard operators with Chebyshev nodes
Journal of Numerical Analysis and Approximation Theory, 2004 In this paper we study combined Shepard-Lagrange univariate interpolation operator\[S_{n,\mu}^{L,m}(Y;f,x):=S_{n,\mu}^{L,m}(f,x)=\frac{\sum\limits_{k=0}^{n+1}\left\vert x-y_{n,k}\right\vert ^{-\mu}(L_{m}f)(x,y_{n,k})}{\sum\limits_{k=0}^{n+1}\left\vert x ...
Cristina O. Oşan, Radu T. Trîmbitaş
doaj +2 more sources
Establishing Shape Correspondences: A Survey
Computer Graphics Forum, EarlyView.Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley +1 more source
Orthopaedic Surgery, Volume 17, Issue 5, Page 1464-1477, May 2025.This study compares the biomechanical effects of three anterior fixation systems in thoracolumbar surgery—HXTL, NHXTL, and Medtronic's CD Horizon ANTERIOR. Finite element analysis evaluates stress and displacement across vertebral bodies and support structures under varying load conditions. Results indicate the HXTL system minimizes nail–rod stress yet
Xuehai Jia +7 more
wiley +1 more source
A hierarchical access control scheme based on Lagrange interpolation for mobile agents
International Journal of Distributed Sensor Networks, 2018 The mobile agent is functioning as an information exchanger with hosts. In order to reduce the communication time that the host sent to the members of a large system.
Tsung-Chih Hsiao +4 more
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The Journal of Physiology, EarlyView.Abstract figure legend Traditional planar imaging approaches of the left atrium do not capture complex geometry. Four‐dimensional imaging allows the acquisition of 3D data + time to visualize left atrial geometry and kinematics. We designed an advanced analysis technique to investigate left atrial biomechanics in a model of pressure overload and ...
John P. Salvas +3 more
wiley +1 more source
Transfinite Elements Using Bernstein Polynomials
AxiomsTransfinite interpolation, originally proposed in the early 1970s as a global interpolation method, was first implemented using Lagrange polynomials and cubic Hermite splines.
Christopher Provatidis
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Separation cutoffs for random walk on irreducible representations
, 2007 Random walk on the irreducible representations of the symmetric and general linear groups is studied. A separation distance cutoff is proved and the exact separation distance asymptotics are determined.
Fulman, Jason
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A Novel Mixed‐Hybrid, Higher‐Order Accurate Formulation for Kirchhoff–Love Shells
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT This paper presents a novel mixed‐hybrid finite element formulation for Kirchhoff–Love shells, designed to enable the use of standard C0$C^0$‐continuous higher‐order Lagrange elements. This is possible by introducing the components of the moment tensor as a primary unknown alongside the displacement vector, circumventing the need for C1$C^1 ...
Jonas Neumeyer, Thomas‐Peter Fries
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International Journal of Applied Sciences and Smart TechnologiesLife Expectancy (AHH) is a measurement of the average human lifespan accepted and used to assess the quality of health and welfare of a country's population.
Syamsul Maarip +5 more
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