Least-squares reconstruction of spatially limited objects using smoothness and non-negativity constraints
- 1 April 1982
- journal article
- Published by Optica Publishing Group in Applied Optics
- Vol. 21 (7) , 1249-1252
- https://doi.org/10.1364/ao.21.001249
Abstract
This paper describes an approach to reconstructing an optical object which has been subjected to low pass spatial-frequency filtering. The object is assumed to be of limited and known spatial extent and is further known to be non-negative and reasonably smooth. The smoothness constraint is incorporated into a regularizing matrix in a novel way. This matrix defines a regularized version of the original imaging equation, which is then solved using least-squares estimation under a non-negativity constraint. Combining constraints in this way can lead to reconstructions of very high quality.Keywords
This publication has 2 references indexed in Scilit:
- Least-squares reconstruction of objects with missing high-frequency componentsJournal of the Optical Society of America, 1982
- Method for continuing Fourier spectra given by the fast Fourier transformJournal of the Optical Society of America, 1981