Title:	A METHOD OF VOLUME CALCULATION FOR 3D MODELS DESCRIBED BY BÉZIER SURFACES USING EXAMPLE OBJECTS OF BIOMEDICAL ORIGIN
Author(s):	Aleksandrs Sisojevs, Katrina Bolo?ko and Olga Krutikova
ISBN:	978-989-8533-66-1
Editors:	Yingcai Xiao and Ajith P. Abraham
Year:	2017
Edition:	Single
Keywords:	Beta Function, Bézier Surfaces, Integral, Volume
Type:	Full Paper
First Page:	30
Last Page:	38
Language:	English
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Paper Abstract:	This paper describes a method of computing volume for 3D objects bounded by Bézier surfaces using example models of biomedical origin. The authors present three different theorems for volume calculation, based, based on different properties of researched models, acquired by projection of surface vertices on coordinate system origin point, axis and plane. The proposed approach is based on using methods of differential geometry: surface integrals of scalar fields, Euler integral of the first kind and Beta functions. Experimental results prove the accuracy of presented theorems. The proposed method can be successfully used to calculate the volume of different 3D models, including objects of biomedical origin.
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