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Generating an Equidistributed Net on a Sphere Using Random Rotations

Generating an Equidistributed Net on a Sphere Using Random Rotations

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2613412513

Generating an Equidistributed Net on a Sphere Using Random Rotations

About this item

Full title

Generating an Equidistributed Net on a Sphere Using Random Rotations

Publisher

New York: Springer US

Journal title

Discrete & computational geometry, 2022-01, Vol.67 (1), p.231-257

Language

English

Formats

Publication information

Publisher

New York: Springer US

More information

Scope and Contents

Contents

We develop a randomized algorithm (that succeeds with high probability) for generating an
ϵ
-net in a sphere of dimension 
n
. The basic scheme is to pick an alphabet consisting of
O
(
n
ln
(
1
/
ϵ
)
+
ln
(
1
/
δ
)
)
random rotations, form all possible words of length
O
(
n<...

Alternative Titles

Full title

Generating an Equidistributed Net on a Sphere Using Random Rotations

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2613412513

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2613412513

Other Identifiers

ISSN

0179-5376

E-ISSN

1432-0444

DOI

10.1007/s00454-021-00333-0

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