PHASE PROBLEMS FOR PERIODIC IMAGES - EFFECTS OF SUPPORT AND SYMMETRY

Authors
MILLANE RP
Citation
Rp. Millane, PHASE PROBLEMS FOR PERIODIC IMAGES - EFFECTS OF SUPPORT AND SYMMETRY, Journal of the Optical Society of America. A: Optics and image science, 10(5), 1993, pp. 1037-1045
Citations number
23
Categorie Soggetti
Optics
Journal title
Journal of the Optical Society of America. A: Optics and image science
ISSN journal
07403232 → ACNP
Volume
10
Issue
5
Year of publication
1993
Pages
1037 - 1045
Database
ISI
SICI code
1084-7529(1993)10:5<1037:PPFPI->2.0.ZU;2-3
Abstract
Aspects of phase problems for two-dimensional periodic images that occ ur in crystallography are examined. It is shown that such problems do not have unique solutions in general, but are underdetermined. The pre sence of a priori information constrains the solution, and an error me tric is described that quantifies this effect. Explicit forms for the error metric are derived that describe the effects of a restricted sup port and symmetry in the image, and examples are presented.