Smoothing and interpolating noisy gps data with smoothing splines

被引:0
|
作者
Early, Jeffrey J. [1 ]
Sykulski, Adam M. [2 ]
机构
[1] NorthWest Research Associates, Redmond,WA, United States
[2] Data Science Institute, and Department of Mathematics and Statistics, Lancaster University, Lancaster, United Kingdom
来源
关键词
A comprehensive method is provided for smoothing noisy; irregularly sampled data with non-Gaussian noise using smoothing splines. We demonstrate how the spline order and tension parameter can be chosen a priori from physical reasoning. We also show how to allow for non-Gaussian noise and outliers that are typical in global positioning system (GPS) signals. We demonstrate the effectiveness of our methods on GPS trajectory data obtained from oceanographic floating instruments known as drifters. © 2020 American Meteorological Society;
D O I
暂无
中图分类号
学科分类号
摘要
引用
收藏
页码:449 / 465
相关论文
共 50 条
  • [1] Smoothing and Interpolating Noisy GPS Data with Smoothing Splines
    Early, Jeffrey J.
    Sykulski, Adam M.
    JOURNAL OF ATMOSPHERIC AND OCEANIC TECHNOLOGY, 2020, 37 (03) : 449 - 465
  • [2] MULTIVARIATE SMOOTHING AND INTERPOLATING SPLINES
    NIELSON, GM
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1974, 11 (02) : 435 - 446
  • [3] Explicit forms of interpolating cubic splines and data smoothing
    Torok, Csaba
    Hudak, Juraj
    Pristas, Viktor
    Antoni, Lubomir
    APPLIED MATHEMATICS AND COMPUTATION, 2025, 500
  • [4] Optimal smoothing and interpolating splines with constraints
    Kano, Hiroyuki
    Fujioka, Hiroyuki
    Martin, Clyde F.
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (05) : 1831 - 1844
  • [5] Optimal smoothing and interpolating splines with constraints
    Kano, Hiroyuki
    Fujioka, Hiroyuki
    Martin, Clyde
    PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2007, : 1796 - 1801
  • [6] Constrained Smoothing of Noisy Data Using Splines in Tension
    Nicholas A. Teanby
    Mathematical Geology, 2007, 39 : 419 - 434
  • [7] Approximation by smoothing variational vector splines for noisy data
    Kouibia, A.
    Pasadas, M.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 211 (02) : 213 - 222
  • [8] Constrained smoothing of noisy data using splines in tension
    Teanby, Nicholas A.
    MATHEMATICAL GEOLOGY, 2007, 39 (04): : 419 - 434
  • [9] PROCEDURES FOR COMPUTING SMOOTHING AND INTERPOLATING NATURAL SPLINES
    LYCHE, T
    SCHUMAKER, LL
    COMMUNICATIONS OF THE ACM, 1974, 17 (08) : 463 - 467
  • [10] Mixed interpolating-smoothing splines and the ν-spline
    Kersey, Scott N.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 322 (01) : 28 - 40