Alexander H. Barnett, Charles L. Epstein, Leslie Greengard, Jeremy Magland

Geometry of the Phase Retrieval Problem (eBook, PDF)

Graveyard of Algorithms

• Format: PDF

Produktbeschreibung

This book provides a theoretical foundation and conceptual framework for the problem of recovering the phase of the Fourier transform.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 5. Mai 2022
• Englisch
• ISBN-13: 9781009008556
• Artikelnr.: 70909216

Autorenporträt

Alexander H. Barnett is Group Leader for Numerical Analysis at the Center for Computational Mathematics in the Flatiron Institute. He has published around 60 papers on partial differential equations, waves, fast algorithms, integral equations, neuroscience, imaging, signal processing, inverse problems, and physics, and received several research grants from the National Science Foundation.

Inhaltsangabe

Part I. Theoretical Foundations: 1. The geometry near an intersection
2. Well posedness
3. Uniqueness and the non-negativity constraint
4. Some preliminary conclusions
Part II. Analysis of Algorithms for Phase Retrieval: 6. Introduction to Part II
7. Algorithms for Phase Retrieval
8. Discrete classical phase retrieval
9. The non-negativity constraint
10. Asymptotics of hybrid iterative maps
Part III. Further Properties of Hybrid Iterative Algorithms and Suggestions for Improvement: 11. Introduction to Part III
12. Statistics of algorithms
13. Suggestions for improvements
14. Concluding Remarks
15. Notational conventions.