Reduced Tolerance Imaging II. Volume 2
Abstract
Reduced tolerance imaging is a concept wherein an imaging system is designed with reduced performance requirements permitting large phase errors in the received signal, and the full performance level is recovered through use of post-detection processing using phase retrieval techniques yielding a diffraction-limited reconstructed image. This report describes an effort to develop reduced-tolerance imaging techniques. An estimation theoretic (Cramer-Rao) lower bound on the error in estimating a coherent image from (1) far-field (Fourier) intensity (squared modulus) measurements and from (2) electromagnetic field measurements with phase errors were derived for the case of additive Gaussian detector noise, Uniqueness of reconstruction from Fourier modulus assuming a support constraint known a priori was proven for a particular class of objects -- sampled objects whose support (the area in which the object has non-zero values) has a convex hull with no parallel sides. A closed-form recursive reconstruction algorithm was developed for reconstructing such objects. Keywords: Phase retrieval; Image reconstruction.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 29, 1988
- Accession Number
- ADA189604
Entities
People
- David L. Neuhoff
- Jack N. Cederquist
- James Fienup
- Richard G. Paxman
- Thomas R. Crimmins