Moebius inversion formula and inverting lattice sums

Rick P. Millane

doi:10.1117/12.409278

16 November 2000 M&diaero;bius inversion formula and inverting lattice sums

Rick P. Millane

Proceedings Volume 4123, Image Reconstruction from Incomplete Data; (2000) https://doi.org/10.1117/12.409278
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

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.

Citation Download Citation

Rick P. Millane "M&diaero;bius inversion formula and inverting lattice sums", Proc. SPIE 4123, Image Reconstruction from Incomplete Data, (16 November 2000); https://doi.org/10.1117/12.409278

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