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The sea bottom surface described by Coons pieces

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Języki publikacji
EN
Abstrakty
EN
In this paper, a method of mathematical description of a surface, which can be used for modeling the sea bottom and detecting underwater objects using sonar (a side scan sonar or a front one) or a multibeam echosounder, is presented. The method is based on Coons plates and is described in four steps, which can be used for determination of the sea bottom for spatial presentation and volume calculation. A new sounding vessel and its equipment were used for the collection of geospatial data, and the results of a geospatial model of the sea bottom on the basis of the collected data are shown. The sea bottom is presented using Coons surfaces and a triangulated irregular network.
Rocznik
Strony
187--190
Opis fizyczny
Bibliogr. 25 poz., rys.
Twórcy
autor
  • Polish Naval Academy, Faculty of Navigation and Naval Weapons Institute of Navigation and Maritime Hydrography, 69 Śmidowicza St., 81-103 Gdynia, Poland
Bibliografia
  • 1. Coons, S.A. (1964) Surfaces for Computer-Aided Design of Space Figures. Cambridge, MA, MIT Project MAC, report MAC-M-253.
  • 2. Coons, S.A. (1967) Surfaces for Computer-Aided Design of Space Forms. Cambridge, MA, MIT Project MAC TR-41.
  • 3. Kiciak, P. (2000) Modeling basics of curves and surfaces – usage in computer graphics. Warszawa: Wydawnictwo Naukowo-Techniczne.
  • 4. Makar, A. & Sassais, R. (2011) Methods to Generate Numerical Models of Terrain. Annual of Navigation 18. pp. 69–81.
  • 5. Makar, A. & Zellma, M. (1999) Use of Splines in bathymetry. VIII Conference on Marine Traffic Engineering, Szczecin. pp. 261–270.
  • 6. Makar, A. & Zellma, M. (2000a) Modeling of Dynamic Systems Using B-Splines. VI Conference – Satellite Systems in Navigation, Dęblin.
  • 7. Makar, A. & Zellma, M. (2000b) Dynamic system’s identification on the basis of basic splines of 5th order. New Trends of Development in Aviation, Koszyce, pp.146–154.
  • 8. Makar, A. & Zellma, M. (2001) Modelling of the Dynamic Systems by Means of the Basic Splines. International Carpathian Control Conference, Krynica, pp. 145–150.
  • 9. Makar, A. & Zellma, M. (2003) Regression Function Described by Basic Splines of 1st 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.
  • 10. Makar, A. (2005) Modeling of Sea Bottom Using NURBS Functions. Reports on Geodesy 1(72), Warszawa. pp. 17–24.
  • 11. Makar, A. (2007) Vertical Distribution of Sound Speed in Fresh Water Described by B-Splines. Polish Journal of Environmental Studies 16, 6B. pp. 77–80.
  • 12. Makar, A. (2008) Method of determination of acoustic wave reflection points in geodesic bathymetric surveys. Annual of Navigation 14.
  • 13. Makar, A. (2009a) Description of Vertical Distribution of Sound Speed in Water Using NURBS Functions. Polish Journal of Environmental Studies 18, 5A. pp. 96–100.
  • 14. Makar, A. (2009b) Application of Non-Uniform B-Splines of 2nd Order for Description Vertical Distribution of Sound Speed in Water. Hydroacoustics 12. pp. 133–140.
  • 15. Makar, A. (2010a) Modeling of Sea Bottom Using Bézier Pieces. Hydroacoustics 13. pp. 183–190.
  • 16. Makar, A. (2010b) Modeling of Vertical Distribution of Sound Speed in Water Using Bezier Courves. Hydroacoustics 13. pp. 177–182.
  • 17. Makar, A. (2011a) Modeling of Vertical Distribution of Sound Speed in Water Using Rational Bézier Courves. Hydroacoustics 14. pp. 149–156.
  • 18. Makar, A. (2011b) Modeling of Sea Bottom Using Uniform Rectangular Bézier Pieces. Hydroacoustics 14. pp. 143–148.
  • 19. Makar, A. (2012a) Approximation of Vertical Distribution of the Sound Speed in Water Using Basis Hermite’s Polynomial. Hydroacoustics 15. pp. 131–136.
  • 20. Makar, A. (2012b) Modeling of the Constant Sound Speed Surface in Water Using Bicubic Hermite’s Pieces. Hydroacoustics 15. pp. 137–142.
  • 21. Piegl, L. & Tiller, W. (1997) The NURBS Book. Berlin Heideberg: Springer-Verlag, Germany.
  • 22. Ramesh, J., Rangachar, K. & Schunck, B.G. (1995) Machine vision. McGraw-Hill, Inc.
  • 23. Salomon, D. (2006) Curves and Surfaces for Computer Graphics. Springer Science+Business Media, Inc.
  • 24. Stieczkin, S. & Subbotin, J. (1976) Splines in mathematics. Moscow: Science.
  • 25. Wolter, F.-E., Reuter, M. & Peinecke, N. (2007) Geometric Modeling for Engineering Applications. Encyclopedia of Computational Mechanics. Part 1: Fundamentals. John Wiley & Sons.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-511b6714-36f9-4e8e-bb25-970517798e76
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