Modeling of vertical distribution of sound speed in water using bézier courves

• Autorzy: Makar A.
• Języki publikacji: EN

Abstrakty

EN

Modeling of the vertical distribution of the sound speed in water is essential problem of hydroacoustics. There are many mathematics methods of modeling one variable functions. In the paper modeling of the one variable function for the vertical distribution of the sound speed in water using Bezier functions have been shown.

• Wydawca: Polskie Towarzystwo Akustyczne. Oddział Gdański
• Czasopismo: Hydroacoustics
• Rocznik: 2010
• Tom: Vol. 13
• Strony: 177--182
• Opis fizyczny: Bibliogr. 17 poz., rys.

Twórcy

autor

Makar A.

• Polish Naval Academy 69, Śmidowicza St., 81-103 Gdynia, Poland,

Bibliografia

• [1] L.M. Brekhovskikh, Yu.P. Lysanov. Fundamentals of Ocean Acoustics. Springer-Verlag, New York Berlin Heidelberg, 2001.
• [2] P. Kiciak, Modeling basics of curves and surfaces – usage in computer graphics, Wydawnictwo Naukowo – Techniczne, Warszawa 2000.
• [3] A. Makar, Method of Determination of Acoustic Wave Reflection Points in Geodesic Bathymetric Surveys. Annual of Navigation, No 14, 2008.
• [4] A. Makar, M. Zallma, Wykorzystanie funkcji sklejanych w batymetrii, VIII Konferencja Naukowo- Techniczna Inżynierii Ruchu Morskiego, Szczecin 1999, str. 261-270.
• [5] A. Makar, M. Zallma, Modelowanie układów dynamicznych za pomocą bazowych funkcji sklejanych, VI Konferencja Systemy Satelitarne w Nawigacji, Dęblin 2000.
• [6] A. Makar, M. Zallma, Dynamic system’s identification on the basis of basic splines of 5-th order, New Trends of Development in Aviation, Koszyce 2000, pp.146-154.
• [7] A. Makar, M. Zallma, Modelling of the Dynamic Systems by Means of the Basic Splines, International Carpathian Control Conference, Krynica 2001, pp. 145-150.
• [8] A. Makar, Influence of the Vertical Distribution of the Sound Speed on the Accuracy of Depth Measurement, Reports on Geodesy, 5 (60), Warszawa 2001, pp. 31-34.
• [9] A. Makar, Shallow Water Goedesy: Surveys Errors During Seabed Determination, Reports on Geodesy, 2 (62), Warszawa 2002, pp. 71-78.
• [10] A. Makar, Vertical Distribution of the Sound Speed and its Mean Value in Depth Measurements Using a Singlebeam Echosounder, Reports on Geodesy, 2 (62), Warszawa 2002, pp. 79-85.
• [11] A. Makar, M. Zallma, 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 2003, pp. 175-187.
• [12] A. Makar, Modeling of Sea Bottom Using NURBS Functions, Reports on Geodesy, 1(72), Warszawa 2005, pp. 17-24.
• [13] 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.
• [14] A. Makar, Method of determination of acoustic wave reflection points in geodesic bathymetric surveys. Annual of Navigation, No 14, 2008.
• [15] A. Makar, Description of Vertical Distribution of Sound Speed in Water Using NURBS Functions, Polish Journal of Environmental Studies, Vol. 18, No. 5A, 2009, pp. 96-100.
• [16] S. Stieczkin, J. Subbotin, Splines in mathematics, Science, Moscow, 1976.
• [17] L. Piegl, W. Tiller, The NURBS Book. Springer – Verlag Berlin Heideberg, Germany 1997.