(Semi) regular tetrahedral tilings

0394630 - ÚGN 2014 RIV CZ eng C - Conference Paper (international conference)
Kolcun, Alexej
(Semi) regular tetrahedral tilings.
WSCG 2013 Communication Papers Proceedings. Plzeň: Union Agency, 2013 - (Skala, V.), s. 145-150. ISBN 978-80-86943-75-6.
[WSCG 2013 - International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision /21./. Plzeň (CZ), 24.06.2013-27.06.2013]
Institutional support: RVO:68145535
Keywords : tetrahedron * regular tessellation * voxel grid * conform decomposition
Subject RIV: BA - General Mathematics
http://wscg.zcu.cz/WSCG2013/!_2013-WSCG-Communications-proceedings.pdf

Triangulation 2D and 3D methods represent an import ant part of numerical modeling process (e.g. FEM). In many applications it is suitable to use triangulati ons with a regular structure. Moreover, decompositi on with a limited number of different types of tetrahedra ena bles to reduce the storage and computational demand s in the whole modeling process. The submitted contribution presents an overview of possible 3D decompositions using one tetrahedron (regular tilings). These decomposit ions are confronted with decompositions using six d ifferent types of tetrahedra (orthogonal structured tilings) . Considering the shape expressivity of particular methods, the paper presents a structure of possible decompositio ns and comparison of storage demands of the used decompositions.
Permanent Link: http://hdl.handle.net/11104/0222849