A Method of Volume Calculation for 3D Models Described by Bézier Surfaces Using Example Objects of Biomedical Origin

Proceedings of the International Confereces on Computer Graphics, Visualization, Computer Vision and Image Processing 2017 and Big Data Analytics, Data Mining and Computational Intelligence 2017 2017
Aleksandrs Sisojevs, Katrina Boločko, Olga Krutikova

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.

Atslēgas vārdi
Beta Function, Bézier Surfaces, Integral, Volume

Sisojevs, A., Boločko, K., Krutikova, O. A Method of Volume Calculation for 3D Models Described by Bézier Surfaces Using Example Objects of Biomedical Origin. No: Proceedings of the International Confereces on Computer Graphics, Visualization, Computer Vision and Image Processing 2017 and Big Data Analytics, Data Mining and Computational Intelligence 2017, Portugāle, Lisbon, 21.-23. jūlijs, 2017. Lisbon: IADIS Press, 2017, 30.-38.lpp. ISBN 978-989-8533-66-1.

Publikācijas valoda
English (en)