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PANL research project

Nonsmooth methods in phase retrieval


The phase retrieval problem is of paramount importance in various areas of applied physics and engineering. The state of the art for solving this problem in two dimensions relies heavily on the pioneering work of Gerchberg, Saxton, and Fienup almost 3 decades ago. Despite the widespread use of the algorithms proposed by these three researchers, current mathematical theory cannot explain their remarkable success. The goal of this project is to bring into play recent tools developed in nonsmooth and nonconvex analysis to analyze and improve these algorithms.


Participants:

P. L. Combettes,
A. Hero,
D. R. Luke,
P. Marechal.




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