Solving non-negative linear inverse problems with the NeAREst method
Publication
, Journal Article
Sun, X; Pitsianis, NP
Published in: Proceedings of SPIE - The International Society for Optical Engineering
December 17, 2008
This paper introduces the theoretical development of a numerical method, named NeAREst, for solving non-negative linear inverse problems, which arise often from physical or probabilistic models, especially, in image estimation with limited and indirect measurements. The Richardson-Lucy (RL) iteration is omnipresent in conventional methods that are based on probabilistic assumptions, arguments and techniques. Without resorting to probabilistic assumptions, NeAREst retains many appealing properties of the RL iteration by utilizing it as the substrate process and provides much needed mechanisms for acceleration as well as for selection of a target solution when many admissible ones exist.
Duke Scholars
Published In
Proceedings of SPIE - The International Society for Optical Engineering
DOI
ISSN
0277-786X
Publication Date
December 17, 2008
Volume
7074
Related Subject Headings
- 5102 Atomic, molecular and optical physics
- 4009 Electronics, sensors and digital hardware
- 4006 Communications engineering
Citation
APA
Chicago
ICMJE
MLA
NLM
Sun, X., & Pitsianis, N. P. (2008). Solving non-negative linear inverse problems with the NeAREst method. Proceedings of SPIE - The International Society for Optical Engineering, 7074. https://doi.org/10.1117/12.795479
Sun, X., and N. P. Pitsianis. “Solving non-negative linear inverse problems with the NeAREst method.” Proceedings of SPIE - The International Society for Optical Engineering 7074 (December 17, 2008). https://doi.org/10.1117/12.795479.
Sun X, Pitsianis NP. Solving non-negative linear inverse problems with the NeAREst method. Proceedings of SPIE - The International Society for Optical Engineering. 2008 Dec 17;7074.
Sun, X., and N. P. Pitsianis. “Solving non-negative linear inverse problems with the NeAREst method.” Proceedings of SPIE - The International Society for Optical Engineering, vol. 7074, Dec. 2008. Scopus, doi:10.1117/12.795479.
Sun X, Pitsianis NP. Solving non-negative linear inverse problems with the NeAREst method. Proceedings of SPIE - The International Society for Optical Engineering. 2008 Dec 17;7074.
Published In
Proceedings of SPIE - The International Society for Optical Engineering
DOI
ISSN
0277-786X
Publication Date
December 17, 2008
Volume
7074
Related Subject Headings
- 5102 Atomic, molecular and optical physics
- 4009 Electronics, sensors and digital hardware
- 4006 Communications engineering