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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 4, Iss. 1 — Jan. 1, 1987
  • pp: 135–147

Testing for support irreducibility

B. J. Brames  »View Author Affiliations


JOSA A, Vol. 4, Issue 1, pp. 135-147 (1987)
http://dx.doi.org/10.1364/JOSAA.4.000135


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Abstract

An irreducible support is one that ensures a unique solution to the phase problem without requiring that it be explicitly imposed as a reconstruction constraint. However, the only nontrivial support that has been shown to be irreducible is Eisenstein’s support. Herein a general description of support irreducibility is developed for discrete functions, both over positive, real and over complex numbers. In addition, a method of testing an arbitrary support of finite extent for irreducibility is introduced, and a number of simple irreducible supports are presented that are not of the Eisenstein type.

© 1987 Optical Society of America

History
Original Manuscript: December 11, 1985
Manuscript Accepted: September 2, 1986
Published: January 1, 1987

Citation
B. J. Brames, "Testing for support irreducibility," J. Opt. Soc. Am. A 4, 135-147 (1987)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-4-1-135

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