TY - GEN
T1 - Geometry of the cosmic web
T2 - 7th International Symposium on Voronoi Diagrams in Science and Engineering, ISVD 2010
AU - Aragón-Calvo, Miguel A.
AU - Shandarin, Sergei F.
AU - Szalay, Alexander
PY - 2010
Y1 - 2010
N2 - We present a novel method for computing the Minkowski Functionals from isodensity surfaces extracted directly from the Delaunay tessellation of a point distribution. This is an important step forward compared to the previous cosmological studies when the isodensity surface was built in the field on a uniform cubic grid and therefore having a uniform spatial resolution. The density field representing a particular interest in cosmology is the density of galaxies which is obtained from the highly nonuniform distribution of the galaxy positions. Therefore, the constraints caused by the spatially uniform grid put severe limitations on the studies of the geometry and shapes of the large-scale objects: superclusters and voids of galaxies. Our technique potentially is able to eliminate most of these limitations. The method is tested with some simple geometric models and an application to the density field from an N-body simulation is shown.
AB - We present a novel method for computing the Minkowski Functionals from isodensity surfaces extracted directly from the Delaunay tessellation of a point distribution. This is an important step forward compared to the previous cosmological studies when the isodensity surface was built in the field on a uniform cubic grid and therefore having a uniform spatial resolution. The density field representing a particular interest in cosmology is the density of galaxies which is obtained from the highly nonuniform distribution of the galaxy positions. Therefore, the constraints caused by the spatially uniform grid put severe limitations on the studies of the geometry and shapes of the large-scale objects: superclusters and voids of galaxies. Our technique potentially is able to eliminate most of these limitations. The method is tested with some simple geometric models and an application to the density field from an N-body simulation is shown.
KW - Cosmology
KW - Delaunay tessellations
KW - Minkowski Functionals
UR - http://www.scopus.com/inward/record.url?scp=77955680481&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77955680481&partnerID=8YFLogxK
U2 - 10.1109/ISVD.2010.33
DO - 10.1109/ISVD.2010.33
M3 - Conference contribution
AN - SCOPUS:77955680481
SN - 9780769541129
T3 - ISVD 2010 - 7th International Symposium on Voronoi Diagrams in Science and Engineering
SP - 235
EP - 243
BT - ISVD 2010 - 7th International Symposium on Voronoi Diagrams in Science and Engineering
Y2 - 28 June 2010 through 30 June 2010
ER -