Alternating projection, ptychographic imaging and phase synchronization
Publication
, Journal Article
Marchesini, S; Tu, YC; Wu, HT
Published in: Applied and Computational Harmonic Analysis
November 1, 2016
We demonstrate necessary and sufficient conditions of the local convergence of the alternating projection algorithm to a unique solution up to a global phase factor. Additionally, for the ptychography imaging problem, we discuss phase synchronization and graph connection Laplacian, and show how to construct an accurate initial guess to accelerate convergence speed to handle the big imaging data in the coming new light source era.
Duke Scholars
Altmetric Attention Stats
Dimensions Citation Stats
Published In
Applied and Computational Harmonic Analysis
DOI
EISSN
1096-603X
ISSN
1063-5203
Publication Date
November 1, 2016
Volume
41
Issue
3
Start / End Page
815 / 851
Related Subject Headings
- Numerical & Computational Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Marchesini, S., Tu, Y. C., & Wu, H. T. (2016). Alternating projection, ptychographic imaging and phase synchronization. Applied and Computational Harmonic Analysis, 41(3), 815–851. https://doi.org/10.1016/j.acha.2015.06.005
Marchesini, S., Y. C. Tu, and H. T. Wu. “Alternating projection, ptychographic imaging and phase synchronization.” Applied and Computational Harmonic Analysis 41, no. 3 (November 1, 2016): 815–51. https://doi.org/10.1016/j.acha.2015.06.005.
Marchesini S, Tu YC, Wu HT. Alternating projection, ptychographic imaging and phase synchronization. Applied and Computational Harmonic Analysis. 2016 Nov 1;41(3):815–51.
Marchesini, S., et al. “Alternating projection, ptychographic imaging and phase synchronization.” Applied and Computational Harmonic Analysis, vol. 41, no. 3, Nov. 2016, pp. 815–51. Scopus, doi:10.1016/j.acha.2015.06.005.
Marchesini S, Tu YC, Wu HT. Alternating projection, ptychographic imaging and phase synchronization. Applied and Computational Harmonic Analysis. 2016 Nov 1;41(3):815–851.
Published In
Applied and Computational Harmonic Analysis
DOI
EISSN
1096-603X
ISSN
1063-5203
Publication Date
November 1, 2016
Volume
41
Issue
3
Start / End Page
815 / 851
Related Subject Headings
- Numerical & Computational Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics