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VOLUME OF A PENTAHEDRON REVISITED.

Authors :
Choudhury, Shouvik Datta
Dey, Santu
Bhattacharyya, Arindam
Source :
Palestine Journal of Mathematics; 2019, Vol. 8 Issue 2, p275-278, 4p
Publication Year :
2019

Abstract

The volume of a pentahedron is calculated in terms of dihedral angles, sides, face angles of component tetrahedrons (3-simplex) using an exact computation technique (known as signed simplex decomposition). Here the signed simplex decomposition means an established technique to subdivide a polyhedra (a simplicial complex or more strictly CW complex) to component tetrahedral (3-simplex) which is used in computer graphics where meshes with pyramids, prisms or hexahedra must be subdivided into tetrahedral to use efficient algorithms for volume-rendering, iso-contouring and particle advect. Moreover we attempt to give a tensorial notation of the volume of the pentahedron. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
22195688
Volume :
8
Issue :
2
Database :
Complementary Index
Journal :
Palestine Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
136715793