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

Paul Leopardi

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 journal › Article › peer-review

245 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 language	English
Pages (from-to)	309-327
Number of pages	19
Journal	Electronic Transactions on Numerical Analysis
Volume	25
Publication status	Published - 2006
Externally published	Yes

Cite this

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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.",

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KW - Zone

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JO - Electronic Transactions on Numerical Analysis

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

Abstract

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