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Original scientific paper

ANALYTICAL SOLUTION OF GLOBAL 2D DESCRIPTION OF SHIP GEOMETRY WITH DISCONTINUITIES USING COMPOSITION OF POLYNOMIAL RADIAL BASIS FUNCTIONS

Dario Ban   ORCID icon orcid.org/0000-0002-8456-879X ; University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture (FESB), R. Boskovica 32, 21000 Split, Croatia
Branko Blagojević   ORCID icon orcid.org/0000-0002-4361-6804 ; University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture (FESB), R. Boskovica 32, 21000 Split, Croatia
Bruno Čalić ; University of Rijeka, Faculty of Engineering, Vukovarska 58, 51000 Rijeka, Croatia

Fulltext: english, pdf (310 KB) pages 1-22 downloads: 605* cite
APA 6th Edition
Ban, D., Blagojević, B. & Čalić, B. (2014). ANALYTICAL SOLUTION OF GLOBAL 2D DESCRIPTION OF SHIP GEOMETRY WITH DISCONTINUITIES USING COMPOSITION OF POLYNOMIAL RADIAL BASIS FUNCTIONS. Brodogradnja, 65 (2), 1-22. Retrieved from https://hrcak.srce.hr/123283
MLA 8th Edition
Ban, Dario, et al. "ANALYTICAL SOLUTION OF GLOBAL 2D DESCRIPTION OF SHIP GEOMETRY WITH DISCONTINUITIES USING COMPOSITION OF POLYNOMIAL RADIAL BASIS FUNCTIONS." Brodogradnja, vol. 65, no. 2, 2014, pp. 1-22. https://hrcak.srce.hr/123283. Accessed 30 Nov. 2021.
Chicago 17th Edition
Ban, Dario, Branko Blagojević and Bruno Čalić. "ANALYTICAL SOLUTION OF GLOBAL 2D DESCRIPTION OF SHIP GEOMETRY WITH DISCONTINUITIES USING COMPOSITION OF POLYNOMIAL RADIAL BASIS FUNCTIONS." Brodogradnja 65, no. 2 (2014): 1-22. https://hrcak.srce.hr/123283
Harvard
Ban, D., Blagojević, B., and Čalić, B. (2014). 'ANALYTICAL SOLUTION OF GLOBAL 2D DESCRIPTION OF SHIP GEOMETRY WITH DISCONTINUITIES USING COMPOSITION OF POLYNOMIAL RADIAL BASIS FUNCTIONS', Brodogradnja, 65(2), pp. 1-22. Available at: https://hrcak.srce.hr/123283 (Accessed 30 November 2021)
Vancouver
Ban D, Blagojević B, Čalić B. ANALYTICAL SOLUTION OF GLOBAL 2D DESCRIPTION OF SHIP GEOMETRY WITH DISCONTINUITIES USING COMPOSITION OF POLYNOMIAL RADIAL BASIS FUNCTIONS. Brodogradnja [Internet]. 2014 [cited 2021 November 30];65(2):1-22. Available from: https://hrcak.srce.hr/123283
IEEE
D. Ban, B. Blagojević and B. Čalić, "ANALYTICAL SOLUTION OF GLOBAL 2D DESCRIPTION OF SHIP GEOMETRY WITH DISCONTINUITIES USING COMPOSITION OF POLYNOMIAL RADIAL BASIS FUNCTIONS", Brodogradnja, vol.65, no. 2, pp. 1-22, 2014. [Online]. Available: https://hrcak.srce.hr/123283. [Accessed: 30 November 2021]

Abstracts
One of the well-known problems in the curves and surfaces reconstruction theory regarding global analytic object description, besides the description of its curvature changes, inflexions and non-bijective parts, is the existence of oscillations near point discontinuities in the middle of the range and at the boundaries of the description. In the ship geometric modelling, ship hull form is usually described globally using parametric methods based on B-spline and NURB-spline, for they have general property of describing discontinuities. Nevertheless, they are not enabling direct, exact calculation of ship's geometric properties, i.e. the calculation of the integrals for determining geometric and other geometry properties or the intersection with water surface. Because of above mentioned, the predominant way of computing geometric properties of the ships is still numerical computation using Simpson integration methods, which also dictates mesh based description of an observed geometry. Analytical solution of global 2D description for ship geometry with discontinuities will be shown in this paper, using the composition of polynomial RBFs, thus solving computational geometry problems, too.

Keywords
ship geometry; meshless; piecewise; discontinuities; Gibbs phenomenon; Runge phenomenon; polynomial RBFs

Hrčak ID: 123283

URI
https://hrcak.srce.hr/123283

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