Modeling of vertical distribution of sound speed in water using rational Bézier courves

• Autorzy: Makar A.
• Języki publikacji: EN

Abstrakty

EN

Modeling of one variable and two variables functions can be used in hydroacoustics and hydrography i.e. for modeling the vertical distribution of the sound speed in water (one variable functions) or sea bottom (two variable functions). 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 rational Bézier functions have been shown.

• Wydawca: Polskie Towarzystwo Akustyczne. Oddział Gdański
• Czasopismo: Hydroacoustics
• Rocznik: 2011
• Tom: Vol. 14
• Strony: 149--156
• Opis fizyczny: Bibliogr. 18 poz., rys.

Twórcy

autor

Makar A.

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

Bibliografia

• [1] Brekhovskikh L. M., Lysanov Yu. P., Fundamentals of Ocean Acoustics, Springer, Verlag, New York – Berlin – Heidelberg 2001.
• [2] Kiciak P., Modeling basics of curves and surfaces – usage in computer graphics, Scientific and Technical Publicatio, Warsaw 2000.
• [3] Makar A., Method of Determination of Acoustic Wave Reflection Points in Geodesic Bathymetric Surveys, Annual of Navigation, No 14, 2008.
• [4] Makar A., Zellma M., Using of B-splines In Bathymetry (in Polish), VIII International Scientific Conference on Sea Traffic Engineering, Szczecin 1999, pp. 261–270.
• [5] Makar A., Zellma M., Modeling of Dynamic Systems Using Basis Spline Functions (in Polish), VI Conference on Satellite Systems in Navigation, Dęblin 2000.
• [6] Makar A., Zellma M., 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] Makar A., Zellma M., Modelling of the Dynamic Systems by Means of the Basic Splines, International Carpathian Control Conference, Krynica 2001, pp. 145–150.
• [8] Makar A., Influence of the Vertical Distribution of the Sound Speed on the Accuracy of Depth Measurement, Reports on Geodesy, 5 (60), (2001), 31–34.
• [9] Makar A., Vertical Distribution of the Sound Speed and its Mean Value in Depth Measurements Using a Singlebeam Echosounder, Reports on Geodesy, 2 (62), (2002), 79–85.
• [10] Makar A., Modeling of Vertical Distribution of Sound Speed in Water Using Bézier Courves, Hydroacoustics, 13, (2010), 177–182.
• [11] Makar A., Modeling of Sea Bottom Using Uniform Bézier Pieces, Hydroacoustics, 13, (2010), 183–190.
• [12] Makar A., Zellma M., 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.
• [13] A. Makar, Modeling of Sea Bottom Using NURBS Functions, Reports on Geodesy, 1(72), (2005), 17–24.
• [14] Makar A., Vertical Distribution of Sound Speed in Fresh Water Described by B-Splines, Polish Journal of Environmental Studies, Vol. 16, No 6B, (2007), 77–80.
• [15] Makar A., Method of determination of acoustic wave reflection points in geodesic bathymetric surveys, Annual of Navigation, No 14, 2008.
• [16] Makar A., Description of Vertical Distribution of Sound Speed in Water Using NURBS Functions, Polish Journal of Environmental Studies, Vol. 18, No 5A, (2009), 96–100.
• [17] Stieczkin S., Subbotin J., Splines in mathematics, Science, Moscow 1976.
• [18] Piegl L., Tiller W., The NURBS Book, Springer-Verlag, Berlin – Heideberg 1997.