An Improved Extrapolated Collocation Technique for Singularly Perturbed Problems using Cubic B-Spline Functions
Sign Up to like & getrecommendations! Published in 2021 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-021-01738-0
Abstract: In this paper, an improved extrapolated collocation method with cubic B-spline as basis functions is presented. This method is applied to a class of self-adjoint singularly perturbed boundary value problems, with the equispaced discretization of… read more here.
Keywords: cubic spline; extrapolated collocation; singularly perturbed; collocation ... See more keywords
A new two-level implicit scheme based on cubic spline approximations for the 1D time-dependent quasilinear biharmonic problems
Sign Up to like & getrecommendations! Published in 2019 at "Engineering with Computers"
DOI: 10.1007/s00366-019-00778-1
Abstract: In this article, we present a new two-level implicit cubic spline numerical method of accuracy 2 in time and 4 in spatial direction for the numerical solution of 1D time-dependent quasilinear biharmonic equation subject to… read more here.
Keywords: cubic spline; two level; new two; time ... See more keywords
Designing planar cubic B-spline curves with monotonic curvature for curve interpolation
Sign Up to like & getrecommendations! Published in 2020 at "Computational Visual Media"
DOI: 10.1007/s41095-020-0182-8
Abstract: This paper analyzes the curvature distributions of cubic B-spline curves. Firstly, a sufficient geometric condition is presented to guarantee that the curvature of a B-spline curve is monotonic. Then, a design algorithm is developed for… read more here.
Keywords: cubic spline; curves monotonic; monotonic curvature; spline curves ... See more keywords
Fully automated estimation of arch forms in cone-beam CT with cubic B-spline approximation: Evaluation of digital dental models with missing teeth
Sign Up to like & getrecommendations! Published in 2021 at "Computers in biology and medicine"
DOI: 10.1016/j.compbiomed.2021.104256
Abstract: BACKGROUND AND OBJECTIVE To evaluate the automatic determination method for the arch form in cone-beam computed tomography (CBCT) images with cubic B-spline approximation on digital dental models using various types of missing teeth. METHODS The… read more here.
Keywords: cubic spline; spline approximation; missing teeth; arch ... See more keywords
Forecasting the yield curve using a dynamic natural cubic spline model
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DOI: 10.1016/j.econlet.2018.04.009
Abstract: We propose a dynamic natural cubic spline model with a two-step procedure for the forecasting of the entire yield curve. We apply our method to the monthly Chinese yield-curve data and evaluate the out-of-sample forecast… read more here.
Keywords: cubic spline; dynamic natural; yield curve; yield ... See more keywords
Low-dose CBCT reconstruction via joint non-local total variation denoising and cubic B-spline interpolation
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DOI: 10.1038/s41598-021-83266-1
Abstract: This study develops an improved Feldkamp–Davis–Kress (FDK) reconstruction algorithm using non-local total variation (NLTV) denoising and a cubic B-spline interpolation-based backprojector to enhance the image quality of low-dose cone-beam computed tomography (CBCT). The NLTV objective… read more here.
Keywords: reconstruction; cubic spline; low dose; local total ... See more keywords
A cubic B-spline quasi-interpolation method for solving hyperbolic partial differential equations
Sign Up to like & getrecommendations! Published in 2023 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2023.2205963
Abstract: This work presents a numerical algorithm based on the cubic B-spline quasi-interpolation method for the simulation of one and two-dimensional hyperbolic partial differential equations. In this method, cubic B-spline quasi-interpolation method is used for the… read more here.
Keywords: interpolation method; spline quasi; quasi interpolation; cubic spline ... See more keywords
Solving the Boundary Value Problem of Curves With Prescribed Geodesic Curvature Based on a Cubic B-Spline Element Method
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DOI: 10.1109/access.2021.3104909
Abstract: Composite manufacturing processes such as automated tape placement (ATP) and filament winding process (FW) put forward specific requirements for the geodesic curvature along the layup paths of the composite tows and tapes. In this paper,… read more here.
Keywords: cubic spline; element method; spline element; method ... See more keywords
Curvature Constrained Cubic Spline Impact Angle Guidance for Intercepting Stationary Targets
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Aerospace and Electronic Systems"
DOI: 10.1109/taes.2018.2801396
Abstract: In this paper, a cubic spline guidance law is proposed for intercepting a stationary target at a desired impact angle in surface-to-surface engagement scenarios. An inverse method is used, which represents the altitude as a… read more here.
Keywords: cubic spline; impact angle; curvature constrained; guidance law ... See more keywords
Towards Emerging Cubic Spline Patterns with a Mobile Robotics Swarm System
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Cognitive and Developmental Systems"
DOI: 10.1109/tcds.2021.3054997
Abstract: This work is based upon a collaboration work supported by the King Abdullah University of Science and Technology (KAUST) Office of Sponsored Research (OSR) under Award No: OSR-2019-CRG7-3800, the Ecole Superieure en Informatique, 08 Mai… read more here.
Keywords: patterns mobile; robotics; towards emerging; emerging cubic ... See more keywords
Adaptation of the Novel Cubic B-Spline Algorithm for Dealing with Conformable Systems of Differential Boundary Value Problems concerning Two Points and Two Fractional Parameters
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Function Spaces"
DOI: 10.1155/2023/5322092
Abstract: Recently, conformable calculus has appeared in many abstract uses in mathematics and several practical applications in engineering and science. In addition, many methods and numerical algorithms have been adapted to it. In this paper, we… read more here.
Keywords: spline; conformable systems; systems differential; differential boundary ... See more keywords