ANALYTICAL SOLUTION OF BASIC SHIP HYDROSTATICS INTEGRALS USING POLYNOMIAL RADIAL BASIS FUNCTIONS

One of the main tasks of ship's computational geometry is calculation of basic integrals of ship's hydrostatics. In order to enable direct computation of those integrals it is necessary to describe geometry using analytical methods, like description using radial basis functions (RBF) with...

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Main Authors: Dario Ban, Josip Bašić
Format: Article
Language:English
Published: Faculty of Mechanical Engineering and Naval Architecture 2015-09-01
Series:Brodogradnja
Subjects:
Online Access:http://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=215161
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author Dario Ban
Josip Bašić
author_facet Dario Ban
Josip Bašić
author_sort Dario Ban
collection DOAJ
description One of the main tasks of ship's computational geometry is calculation of basic integrals of ship's hydrostatics. In order to enable direct computation of those integrals it is necessary to describe geometry using analytical methods, like description using radial basis functions (RBF) with L1 norm. Moreover, using the composition of cubic and linear Polynomial radial basis functions, it is possible to give analytical solution of general global 2D description of ship geometry with discontinuities in the form of polynomials, thus enabling direct calculation of basic integrals of ship hydrostatics.
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spelling doaj.art-d944d04983a2418eb9545ffe6222f4a22022-12-22T02:11:42ZengFaculty of Mechanical Engineering and Naval ArchitectureBrodogradnja1845-58590007-215X2015-09-016631537ANALYTICAL SOLUTION OF BASIC SHIP HYDROSTATICS INTEGRALS USING POLYNOMIAL RADIAL BASIS FUNCTIONSDario Ban0Josip Bašić1University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture (FESB), R. Boskovica 32, 21000 Split, CroatiaUniversity of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture (FESB), R. Boskovica 32, 21000 Split, CroatiaOne of the main tasks of ship's computational geometry is calculation of basic integrals of ship's hydrostatics. In order to enable direct computation of those integrals it is necessary to describe geometry using analytical methods, like description using radial basis functions (RBF) with L1 norm. Moreover, using the composition of cubic and linear Polynomial radial basis functions, it is possible to give analytical solution of general global 2D description of ship geometry with discontinuities in the form of polynomials, thus enabling direct calculation of basic integrals of ship hydrostatics.http://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=215161analyticalsolutionintegralsintersectionshiphydrostaticspolynomialRBFL1 norm
spellingShingle Dario Ban
Josip Bašić
ANALYTICAL SOLUTION OF BASIC SHIP HYDROSTATICS INTEGRALS USING POLYNOMIAL RADIAL BASIS FUNCTIONS
Brodogradnja
analytical
solution
integrals
intersection
ship
hydrostatics
polynomial
RBF
L1 norm
title ANALYTICAL SOLUTION OF BASIC SHIP HYDROSTATICS INTEGRALS USING POLYNOMIAL RADIAL BASIS FUNCTIONS
title_full ANALYTICAL SOLUTION OF BASIC SHIP HYDROSTATICS INTEGRALS USING POLYNOMIAL RADIAL BASIS FUNCTIONS
title_fullStr ANALYTICAL SOLUTION OF BASIC SHIP HYDROSTATICS INTEGRALS USING POLYNOMIAL RADIAL BASIS FUNCTIONS
title_full_unstemmed ANALYTICAL SOLUTION OF BASIC SHIP HYDROSTATICS INTEGRALS USING POLYNOMIAL RADIAL BASIS FUNCTIONS
title_short ANALYTICAL SOLUTION OF BASIC SHIP HYDROSTATICS INTEGRALS USING POLYNOMIAL RADIAL BASIS FUNCTIONS
title_sort analytical solution of basic ship hydrostatics integrals using polynomial radial basis functions
topic analytical
solution
integrals
intersection
ship
hydrostatics
polynomial
RBF
L1 norm
url http://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=215161
work_keys_str_mv AT darioban analyticalsolutionofbasicshiphydrostaticsintegralsusingpolynomialradialbasisfunctions
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