DocumentCode
3584956
Title
GPU fast and robust computation for barycentric coordinates and intersection of planes using projective representation
Author
Skala, Vaclav
Author_Institution
Dept. of Comput. Sci. & Eng., Univ. of West Bohemia, Plzen, Czech Republic
fYear
2014
Firstpage
34
Lastpage
38
Abstract
This paper describes algorithms for fast and robust GPU computation of barycentric coordinates and intersection of two planes. The presented algorithms are based on matrix-vector operations which make the algorithms convenient for GPU or SSE based architectures. Also a new formula for finding the closest point of two planes intersection to the given point is given.
Keywords
graphics processing units; mathematics computing; matrix algebra; Barycentric coordinates; GPU based architectures; GPU computation; SSE based architectures; matrix-vector operations; plane intersection; projective representation; robust computation; Equations; Geometry; Graphics processing units; Linear systems; Robustness; Standards; Vectors; GPU; Plücker coordinates; barycentric coordinates; closest point; homogeneous coordinates; projective space; two planes intersection;
fLanguage
English
Publisher
ieee
Conference_Titel
Information and Communication Technologies (WICT), 2014 Fourth World Congress on
Print_ISBN
978-1-4799-8114-4
Type
conf
DOI
10.1109/WICT.2014.7077298
Filename
7077298
Link To Document