A partition of the unit sphere into regions of equal area and small diameter
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 309-327
The recursive zonal equal area sphere partitioning algorithm is a practical algorithm for partitioning higher dimensional spheres into regions of equal area and small diameter. This paper describes the partition algorithm and its implementation in Matlab, provides numerical results and gives a sketch of the proof of the bounds on the diameter of regions. A companion paper gives details of the proof.
Classification :
11K38, 31-04, 51M15, 52C99, 74G65
Keywords: sphere, partition, area, diameter, zone
Keywords: sphere, partition, area, diameter, zone
@article{ETNA_2006__25__a11,
author = {Leopardi, Paul},
title = {A partition of the unit sphere into regions of equal area and small diameter},
journal = {Electronic transactions on numerical analysis},
pages = {309--327},
year = {2006},
volume = {25},
zbl = {1160.51304},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_2006__25__a11/}
}
Leopardi, Paul. A partition of the unit sphere into regions of equal area and small diameter. Electronic transactions on numerical analysis, Tome 25 (2006), pp. 309-327. http://geodesic.mathdoc.fr/item/ETNA_2006__25__a11/