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   Articles with "cubic spline" as a keyword



An Improved Extrapolated Collocation Technique for Singularly Perturbed Problems using Cubic B-Spline Functions

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recommendations! 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

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recommendations! 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
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Designing planar cubic B-spline curves with monotonic curvature for curve interpolation

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recommendations! 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

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recommendations! 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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recommendations! Published in 2018 at "Economics Letters"

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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recommendations! Published in 2021 at "Scientific Reports"

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

Numerical subgrid Bi-cubic methods of partial differential equations in image segmentation

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recommendations! Published in 2024 at "Scientific Reports"

DOI: 10.1038/s41598-024-54855-7

Abstract: Image segmentation is a core research in the image processing and computer vision. In this paper, we suggest a Bi-cubic spline phase transition potential and elaborate a Bi-Cubic spline phase transition potential development. In the… read more here.

Keywords: image; segmentation; image segmentation; cubic spline ... See more keywords

A comprehensive methodological framework for 3D head anthropometric shape modeling of a small dataset.

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recommendations! Published in 2025 at "Ergonomics"

DOI: 10.1080/00140139.2025.2518306

Abstract: Efficient data analytics methods are essential to characterise occupation-specific anthropometric head shapes for developing well-fitted head-mounted devices. However, classifying and modelling 3D head shapes for small population groups remains challenging due to limited data and… read more here.

Keywords: head shapes; framework; shape; comprehensive methodological ... See more keywords
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A cubic B-spline quasi-interpolation method for solving hyperbolic partial differential equations

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recommendations! 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
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Solving the Boundary Value Problem of Curves With Prescribed Geodesic Curvature Based on a Cubic B-Spline Element Method

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recommendations! Published in 2021 at "IEEE Access"

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

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recommendations! 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