Results 31 to 40 of about 20,661 (163)
An exponential-trigonometric spline minimizing a seminorm in a Hilbert space
Advances in Difference Equations, 2020 In the present paper, using the discrete analogue of the operator d 6 / d x 6 − 1 $\mathrm{d} ^{6}/\mathrm{d} x^{6}-1$ , we construct an interpolation spline that minimizes the quantity ∫ 0 1 ( φ ‴ ( x ) + φ ( x ) ) 2 d x $\int _{0}^{1}(\varphi {'''}(x)+\
Kholmat M. Shadimetov, Aziz K. Boltaev
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Data Interpolation by Near-Optimal Splines with Free Knots Using Linear Programming
Mathematics, 2021 The problem of obtaining an optimal spline with free knots is tantamount to minimizing derivatives of a nonlinear differentiable function over a Banach space on a compact set.
Lakshman S. Thakur, Mikhail A. Bragin
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Model-Free Stochastic Collocation for an Arbitrage-Free Implied Volatility, Part II
Risks, 2019 This paper explores the stochastic collocation technique, applied on a monotonic spline, as an arbitrage-free and model-free interpolation of implied volatilities. We explore various spline formulations, including B-spline representations. We explain how
Fabien Le Floc’h +1 more
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Local structural health monitoring system in aircraft based on fiber Bragg grating array
Results in Optics, 2023 In this study, a structural health monitoring system for aircraft wings based on a fiber-optic grating sensing network was designed, and a three-dimensional position correction algorithm based on fiber Bragg grating (FBG) array test data was developed ...
Zhichao Liu +3 more
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Domain-Informed Spline Interpolation [PDF]
IEEE Transactions on Signal Processing, 2019 Standard interpolation techniques are implicitly based on the assumption that the signal lies on a single homogeneous domain. In contrast, many naturally occurring signals lie on an inhomogeneous domain, such as brain activity associated to different brain tissue.
Hamid Behjat +3 more
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Application of cubic spline interpolation in communication engineering
Dianxin kexue, 2017 In the communication engineering practice,it often needs to estimate the unknown samples which are missing with the limited samples,then the interpolation operation is needed.Based on the research of cubic spline interpolation,the validity was given in ...
ANGDaiji SUO
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IEEE Access, 2020 A new rational bi-quartic spline interpolation scheme is constructed in this study. This rational bi-quartic spline has six free parameters that can be used to refine the final interpolating surface.
Samsul Ariffin Abdul Karim
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About a family of C2 splines with one free generating function [PDF]
Computer Science Journal of Moldova, 2005 The problem of interpolation of discrete set of data on the interval [a, b] representing the function f is investigated. A family of C*C splines with one free generating function is introduced in order to solve this problem.
Igor Verlan
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IEEE Access, 2020 In order to improve the motion stability of a pointing mechanism, the trajectory planning and trajectory optimization were conducted. To obtain better motion stability, the jerk is required continuous.
Jing Sun +5 more
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