Paper Info
Title
Hypergraph Grammar based Adaptive Linear Computational Cost Projection Solvers for Two and Three Dimensional Modeling of Brain.
Abstract
In this paper we present a hypergraph grammar model for transformation of two and three dimensional grids. The hypergraph grammar concerns the proces of generation of uniform grids with two or three dimensional rectangular or hexahedral elements, followed by the proces of h refinements, namely breaking selected elements into four or eight son elements, in two or three dimensions, respectively. The hypergraph grammar presented in this paper expresses also the two solver algorithms. The first one is the projection based interpolation solver algorithm used for computing H1 or L2 projections of MRI scan of human head, in two and three dimensions. The second one is the multi-frontal direct solver utilized in the loop of the Euler scheme for solving the non-stationary problem modeling the three dimensional heat transport in the human head generated by the cellphone usage.
Year
DOI
Venue
2014
10.1016/j.procs.2014.05.090
Procedia Computer Science
Keywords
Field
DocType
hypergraph grammar,projection solver,MRI scan,non-stationary heat transfer,brain heating by cellphone
Hexahedron,Mathematical optimization,Computer science,Interpolation,Hypergraph,Dimensional modeling,Grammar,Euler scheme,Artificial intelligence,Solver,Machine learning,Human head
Conference
Volume
ISSN
Citations 
29
1877-0509
0
PageRank 
References 
Authors
0.34
10
5
Name
Order
Citations
PageRank
Damian Goik1182.27
Marcin Sieniek2296.39
M. Wozniak3277.48
Anna Paszyńska412517.77
Maciej Paszynski519336.89