Phase retrieval from local correlation measurements with fixed shift length

Oleh Melnyk; Frank Filbir; Felix Krahmer

Phase retrieval from local correlation measurements with fixed shift length

Oleh Melnyk, Frank Filbir, Felix Krahmer

Associate Professorship of Optimization and Data Analysis

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Motivated by applications in ptychography, we generalize a recent method for phase retrieval from local correlation measurements with unit length shifts to any fixed length. Our algorithm is complemented by recovery guarantees.

Original language	English
Title of host publication	Mathematics in Imaging, MATH 2019
Publisher	Optica Publishing Group (formerly OSA)
ISBN (Print)	9781943580637
State	Published - 2019
Event	Mathematics in Imaging, MATH 2019 - Munich, Germany Duration: 24 Jun 2019 → 27 Jun 2019

Publication series

Name	Optics InfoBase Conference Papers
Volume	Part F158-MATH 2019
ISSN (Electronic)	2162-2701

Conference

Conference	Mathematics in Imaging, MATH 2019
Country/Territory	Germany
City	Munich
Period	24/06/19 → 27/06/19

Cite this

@inproceedings{52eae33ebbd8439f951fb5203e255020,

title = "Phase retrieval from local correlation measurements with fixed shift length",

abstract = "Motivated by applications in ptychography, we generalize a recent method for phase retrieval from local correlation measurements with unit length shifts to any fixed length. Our algorithm is complemented by recovery guarantees.",

author = "Oleh Melnyk and Frank Filbir and Felix Krahmer",

note = "Publisher Copyright: {\textcopyright} 2019 The Author(s).; Mathematics in Imaging, MATH 2019 ; Conference date: 24-06-2019 Through 27-06-2019",

year = "2019",

language = "English",

isbn = "9781943580637",

series = "Optics InfoBase Conference Papers",

publisher = "Optica Publishing Group (formerly OSA)",

booktitle = "Mathematics in Imaging, MATH 2019",

}

Phase retrieval from local correlation measurements with fixed shift length. / Melnyk, Oleh; Filbir, Frank; Krahmer, Felix.
Mathematics in Imaging, MATH 2019. Optica Publishing Group (formerly OSA), 2019. (Optics InfoBase Conference Papers; Vol. Part F158-MATH 2019).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Phase retrieval from local correlation measurements with fixed shift length

AU - Melnyk, Oleh

AU - Filbir, Frank

AU - Krahmer, Felix

PY - 2019

Y1 - 2019

N2 - Motivated by applications in ptychography, we generalize a recent method for phase retrieval from local correlation measurements with unit length shifts to any fixed length. Our algorithm is complemented by recovery guarantees.

AB - Motivated by applications in ptychography, we generalize a recent method for phase retrieval from local correlation measurements with unit length shifts to any fixed length. Our algorithm is complemented by recovery guarantees.

UR - http://www.scopus.com/inward/record.url?scp=85085627964&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85085627964

SN - 9781943580637

T3 - Optics InfoBase Conference Papers

BT - Mathematics in Imaging, MATH 2019

PB - Optica Publishing Group (formerly OSA)

T2 - Mathematics in Imaging, MATH 2019

Y2 - 24 June 2019 through 27 June 2019

ER -

Phase retrieval from local correlation measurements with fixed shift length

Abstract

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Conference

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