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Application of non-uniform B-Splines of 2-nd order for description vertical distribution of sound speed in water

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EN
Abstrakty
EN
Modeling of the vertical distribution of the sound speed in water is useful during determination of the depth on the basis of the acoustic method, modeling refraction phenomena and determination the trajectory of the acoustic wave. For modeling 1D functions (vertical distribution of the sound speed) and 2D (surface of the sea bottom for hydrography) uniform B-Splines was used. In this paper description of uniform B-Splines and description and application of non-uniform B-Splines have been presented.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
133--140
Opis fizyczny
Bibliogr. 17 poz., rys., wykr.
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autor
Bibliografia
  • [1] L.M. Brekhovskikh, Yu.P. Lysanov, Fundamentals of Ocean Acoustics. Springer-Verlag, New York Berlin Heidelberg, 2001.
  • [2] J. Dera, Sea physics, Scientific publication of PWN, Warsaw, 2003.
  • [3] Z. Klusek, Propagation Conditions of the Sound Speed in the Southern Baltic, Polish Academy of Science, 1990.
  • [4] A. Makar, Influence of the Vertical Distribution of the Sound Speed on the Accuracy of Depth Measurement, Reports on Geodesy, 5 (60), Warsaw, pp. 31-34, 2001.
  • [5] A. Makar, Shallow Water Geodesy: Surveys Errors During Seabed Determination, Reports on Geodesy, 2 (62), Warsaw, pp. 71-78, 2002.
  • [6] A. Makar, Vertical Distribution of the Sound Speed and its Mean Value in Depth Measurements Using a Single-beam Echosounder, Reports on Geodesy, 2 (62), Warsaw, pp. 79-85, 2002.
  • [7] A. Makar, Methods of Movement Disruptions Compensation of Sounding Vessel, Reports on Geodesy, 1 (68), Warsaw, pp. 27-34, 2004.
  • [8] A. Makar, Vertical Distribution of Sound Speed in Fresh Water Described by B-Splines. Polish Journal of Environmental Studies, vol. 16, No. 6B, 2007, pp. 77-80, 2007.
  • [9] A. Makar, WGS-84 Ellipsoid as Vertical Reference System for Hydrographic Surveys. Reports on Geodesy, 2(83), 2007, pp. 95-102, 2007.
  • [10] A. Makar, M. Zellma, Application of splined functions in bathymetry (in Polish only – original title: Wykorzystanie funkcji sklejanych w batymetrii), VII Scientific-Technical Conference of Marine Traffic Engineering, Szczecin, pp. 261-270, 1999.
  • [11] A. Makar, M. Zellma, Dynamic system’s identification on the basis of basic splines of 5-th order, New Trends of Development in Aviation, Koszyce, pp. 146-154, 2000.
  • [12] A. Makar, M. Zellma, Regression Function Described by Basic Splines of 1-st Order for Determination of Vertical Distribution of Sound Speed in Water, X International Scientific and Technical Conference on Sea Traffic Engineering, Szczecin, pp. 175-187, 2003.
  • [13] L. Piegl, W. Tiller, The NURBS Book. Springer – Verlag Berlin Heideberg, Germany, 1997.
  • [14] S. Stieczkin, J. Subbotin, Splines in mathematics, Science, Moscow, 1976.
  • [15] J. Zawiałow, B. Kwasow, Splines methods, Science, Moscow, 1980.
  • [16] M. Zellma, A. Makar, Modelling of dynamic systems by means of basic splined functions (in Polish only – original title: Modelowanie układów dynamicznych za pomocą bazowych funkcji sklejanych), VI Conference of Satallite Systems in Navigation, Deblin, 2000.
  • [17] M. Zellma, A. Makar, Modelling of the Dynamic Systems by Means of the Basic Splines, International Carpathian Control Conference, Krynica, 2001.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWMA-0017-0017
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