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Proceedings Paper

Moebius inversion formula and inverting lattice sums
Author(s): Rick P. Millane
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Paper Abstract

The M&diaero;bius inversion formula is an interesting theorem from number theory that has application to a number inverse problems, particularly lattice problems. Specific inverse problems, however, often require related M&diaero;bius inversion formulae that can be derived from the fundamental formula. Derivation of such formulae is not easy for the non- specialist, however. Examples of the kinds of inversion formulae that can be derived and their application to inverse lattice problems are described.

Paper Details

Date Published: 16 November 2000
PDF: 8 pages
Proc. SPIE 4123, Image Reconstruction from Incomplete Data, (16 November 2000); doi: 10.1117/12.409278
Show Author Affiliations
Rick P. Millane, Univ. of Canterbury (New Zealand)

Published in SPIE Proceedings Vol. 4123:
Image Reconstruction from Incomplete Data
Michael A. Fiddy; Rick P. Millane, Editor(s)

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