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Diameter bounds for equal area partitions of the unit sphere

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Date

2009

Authors

Leopardi, Paul

Journal Title

Journal ISSN

Volume Title

Publisher

Kent State University

Abstract

The recursive zonal equal area (EQ) sphere partitioning algorithm is a practical algorithm for partitioning higher dimensional spheres into regions of equal area and small diameter. Another such construction is due to Feige and Schechtman. This paper gives a proof for the bounds on the diameter of regions for each of these partitions.

Description

Keywords

Keywords: Area; Area partition; Diameter partition; Higher-dimensional; Partitioning algorithms; Practical algorithms; Small-diameter; Spheres Area; Diameter; Partition; Sphere; Zone

Citation

URI

http://hdl.handle.net/1885/30526

Collections

ANU Research Publications

Source

Electronic Transactions on Numerical Analysis

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

Restricted until

2037-12-31

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01_Leopardi_Diameter_bounds_for_equal_area_2009.pdf (180.65 KB)

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