Results 101 to 110 of about 94,284 (293)

On the BIC for determining the number of control points in B-spline surface approximation in case of correlated observations

open access: yesJournal of Geodetic Science, 2020
B-spline curves are a linear combination of control points (CP) and B-spline basis functions. They satisfy the strong convex hull property and have a fine and local shape control as changing one CP affects the curve locally, whereas the total number of ...
Kermarrec Gaël, Alkhatib Hamza
doaj   +1 more source

A subdivision-based implementation of non-uniform local refinement with THB-splines [PDF]

open access: yes
Paper accepted for 15th IMA International Conference on Mathematics on Surfaces, 2017. Abstract: Local refinement of spline basis functions is an important process for spline approximation and local feature modelling in computer aided design (CAD).
Cripps, Robert   +3 more
core  

Robot‐Assisted Doppler Optical Coherence Tomography for Intraoperative Evaluation of Microvascular Anastomoses

open access: yesAdvanced Intelligent Systems, EarlyView.
This work presents a robot‐assisted Doppler optical coherence tomography system for autonomous, wide‐field intraoperative assessment of microvascular anastomoses. Machine‐vision–guided probe positioning and adaptive scan planning enable three‐dimensional structural and hemodynamic imaging over extended vessel segments.
Xiaochen Li   +10 more
wiley   +1 more source

Vibration Analysis of Rectangular Plates with Free Corners Using Spline-Based Differential Quadrature

open access: yesShock and Vibration, 2004
A spline-based differential quadrature method (SDQM) is elaborated and applied to the vibration analysis of rectangular plates with free edges. The sextic B-spline functions are used to construct the pertaining cardinal spline interpolants.
Hongzhi Zhong, Qiang Guo
doaj   +1 more source

Rational-spline approximation with automatic tension adjustment [PDF]

open access: yes
An algorithm for weighted least-squares approximation with rational splines is presented. A rational spline is a cubic function containing a distinct tension parameter for each interval defined by two consecutive knots.
Kerr, P. A., Schiess, J. R.
core   +1 more source

Artificial Intelligence for Multiscale Modeling in Solid‐State Physics and Chemistry: A Comprehensive Review

open access: yesAdvanced Intelligent Systems, EarlyView.
This review explores the transformative impact of artificial intelligence on multiscale modeling in materials research. It highlights advancements such as machine learning force fields and graph neural networks, which enhance predictive capabilities while reducing computational costs in various applications.
Artem Maevskiy   +2 more
wiley   +1 more source

Approximation of Double-dimensional Densities of Probabilities by Orthogonal Bases

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2009
Approach to approximation of double-dimensional densities of probabilities in rectangle areas by the families of double-dimensional orthogonal functions created by multiplication of single-dimensional orthogonal functions is studied. Calculation formulas
l. A. Lyozin
doaj   +1 more source

Copositive Polynomial and Spline Approximation

open access: yesJournal of Approximation Theory, 1995
Here the authors prove that if a function \(f \in \mathbb{C} [0.1]\) changes sign finitely many times then for any \(n\) large enough the degree of copositive approximation to \(f\) by quadratic splines with \(n-1\) equally spaced knots can be estimated by a constant multiple of \(\omega_2 (f,1/n)\).
Hu, Y.K., Leviatan, D., Yu, X.M.
openaire   +1 more source

A Flexible and Energy‐Efficient Compute‐in‐Memory Accelerator for Kolmogorov–Arnold Networks

open access: yesAdvanced Intelligent Systems, EarlyView.
This article presents KA‐CIM, a compute‐in‐memory accelerator for Kolmogorov–Arnold Networks (KANs). It enables flexible and efficient computation of arbitrary nonlinear functions through cross‐layer co‐optimization from algorithm to device. KA‐CIM surpasses CPU, ASIC, VMM‐CIM, and prior KAN accelerators by 1–3 orders of magnitude in energy‐delay ...
Chirag Sudarshan   +6 more
wiley   +1 more source

Hermite bicubic spline collocation method for Poisson's equations

open access: yesJournal of Numerical Analysis and Approximation Theory, 2004
In this paper is presented a bicubic spline collocation method for the numerical approximation of the solution of Dirichlet problem for the Poisson's equation.
Mihaela Puşcaş
doaj   +2 more sources

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