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  1. 1

    V-Spline: An Adaptive Smoothing Spline for Trajectory Reconstruction by Cao, Zhanglong, Bryant, David, Molteno, Timothy CA, Fox, Colin, Parry, Matthew

    Published 2021
    “…In this paper, we propose a smoothing spline—which we name the V-spline—that incorporates position and velocity information and a penalty term that controls acceleration. …”
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  2. 2

    Bicubic B-Spline And Thin Plate Spline On Surface Appoximation by Liew, Khang Jie

    Published 2017
    “…It is important for the approximation methods to preserve the shape and features of the model in the presence of any noise. B-spline and thin plate spline approximation are being studied in this thesis. …”
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  3. 3

    Gaussian quadrature for splines via homotopy continuation: Rules for C2 cubic splines by Barton, M., Calo, Victor

    Published 2016
    “…We introduce a new concept for generating optimal quadrature rules for splines. To generate an optimal quadrature rule in a given (target) spline space, we build an associated source space with known optimal quadrature and transfer the rule from the source space to the target one, while preserving the number of quadrature points and therefore optimality. …”
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  4. 4

    V-Splines and Bayes Estimate by Cao, Zhanglong, Bryant, David, Parry, Matthew

    Published 2018
    “…Smoothing splines can be thought of as the posterior mean of a Gaussian process regression in a certain limit. …”
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  5. 5

    Convolution Operators With Spline Kernels by Osman, Rohaizan

    Published 1994
    “…In this project, we shall derive the asymptotic formulas for convolution operators with spline kernels for higher order differentiable functions. …”
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  6. 6

    Adaptive Smoothing Spline for Trajectory Reconstruction by Cao, Zhanglong, Bryant, David, Molteno, Tim, Fox, Colin, Parry, Matthew

    Published 2018
    “…In this paper, we propose a smoothing spline -- which we name the V-spline -- that incorporates position and velocity information and a penalty term that controls acceleration. …”
    Get full text
    Get full text
  7. 7

    Cubic spline interpolations in CNC machining by Wan Ruslan, Wan Yusoff, Ismayuzri, Ishak, Fadhlur Rahman, Mohd Romlay

    Published 2022
    “…A cubic spline polynomial is applied to control the machine tool movements defined by the spline. …”
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    Chebyshev approximation of discrete polynomials and splines by Che Seman, Fauziahanim

    Published 2004
    “…This work is concerned with the approximation of discrete data using polynomials and splines based on the Chebyshev approximation criterion. …”
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  10. 10

    Chebyshev approximation of discrete polynomials and splines by Che Seman, Fauziahanim

    Published 2004
    “…This work is concerned with the approximation of discrete data using polynomials and splines based on the Chebyshev approximation criterion. …”
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  11. 11

    Joint Surface Modeling with Thin-Plate Splines by Boyd, S., Ronsky, J., Lichti, Derek, Salkauskas, D., Chapman, M.

    Published 1999
    Subjects: “…digital photogrammetry - joint surface - thin plate spline…”
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    Data Visualization Using Rational Trigonometric Spline by Bashir, Uzma, Md. Ali, Jamaludin

    Published 2013
    “…This paper describes the use of trigonometric spline to visualize the given planar data. The goal of this work is to determine the smoothest possible curve that passes through its data points while simultaneously satisfying the shape preserving features of the data. …”
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  14. 14

    Constrained Interpolation By Parametric Rational Cubic Splines by Lau, Bee Fang

    Published 2010
    “…In this dissertation, we discuss constrained interpolation using rational cubic splines introduced in (Goodman et aI, 1991). There are two curve modification methods suggested and the one which involves modification of the weights a ,fJ associated with the end points of the curve segments is discussed in this dissertation. …”
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  15. 15

    Splines For Two-Dimensional Partial Differential Equations by Abd Hamid, Nur Nadiah

    Published 2016
    “…The methods are Bicubic B-spline Interpolation Method (BCBIM) and Bicubic Trigonometric B-spline Interpolation Method (BCTBIM). …”
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    B-splines for initial and boundary value problems by Goh, Joan Yah Ru

    Published 2013
    “…In this work, interpolation methods based on cubic B-spline and extended cubic B-spline were considered for solving linear two-point boundary value problems of order two. …”
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  19. 19

    Representative fretting fatigue testing and prediction for splined couplings by Houghton, Dean

    Published 2009
    “…Spline couplings are a compact and efficient means for transferring torque between shafts in gas turbine aeroengines. …”
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  20. 20

    Planar B-Spline Curve Interpolation with Various Parameterizations by Ng, Zhi Siang

    Published 2015
    “…The aim of the project is to interpolate the set of data points with B-Spline polynomial with different parameterization method such as chord length, centripetal and equal spaced parameterization. …”
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