A partition of the unit sphere into regions of equal area and small diameter

Paul Leopardi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

225 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)309-327
Number of pages19
JournalElectronic Transactions on Numerical Analysis
Volume25
Publication statusPublished - 2006
Externally publishedYes

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