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Solving ptychography with a convex relaxation.

Publication ,  Journal Article
Horstmeyer, R; Chen, RY; Ou, X; Ames, B; Tropp, JA; Yang, C
Published in: New journal of physics
May 2015

Ptychography is a powerful computational imaging technique that transforms a collection of low-resolution images into a high-resolution sample reconstruction. Unfortunately, algorithms that currently solve this reconstruction problem lack stability, robustness, and theoretical guarantees. Recently, convex optimization algorithms have improved the accuracy and reliability of several related reconstruction efforts. This paper proposes a convex formulation of the ptychography problem. This formulation has no local minima, it can be solved using a wide range of algorithms, it can incorporate appropriate noise models, and it can include multiple a priori constraints. The paper considers a specific algorithm, based on low-rank factorization, whose runtime and memory usage are near-linear in the size of the output image. Experiments demonstrate that this approach offers a 25% lower background variance on average than alternating projections, the ptychographic reconstruction algorithm that is currently in widespread use.

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Published In

New journal of physics

DOI

EISSN

1367-2630

ISSN

1367-2630

Publication Date

May 2015

Volume

17

Start / End Page

053044

Related Subject Headings

  • Fluids & Plasmas
  • 51 Physical sciences
  • 02 Physical Sciences
 

Citation

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Horstmeyer, R., Chen, R. Y., Ou, X., Ames, B., Tropp, J. A., & Yang, C. (2015). Solving ptychography with a convex relaxation. New Journal of Physics, 17, 053044. https://doi.org/10.1088/1367-2630/17/5/053044
Horstmeyer, Roarke, Richard Y. Chen, Xiaoze Ou, Brendan Ames, Joel A. Tropp, and Changhuei Yang. “Solving ptychography with a convex relaxation.New Journal of Physics 17 (May 2015): 053044. https://doi.org/10.1088/1367-2630/17/5/053044.
Horstmeyer R, Chen RY, Ou X, Ames B, Tropp JA, Yang C. Solving ptychography with a convex relaxation. New journal of physics. 2015 May;17:053044.
Horstmeyer, Roarke, et al. “Solving ptychography with a convex relaxation.New Journal of Physics, vol. 17, May 2015, p. 053044. Epmc, doi:10.1088/1367-2630/17/5/053044.
Horstmeyer R, Chen RY, Ou X, Ames B, Tropp JA, Yang C. Solving ptychography with a convex relaxation. New journal of physics. 2015 May;17:053044.
Journal cover image

Published In

New journal of physics

DOI

EISSN

1367-2630

ISSN

1367-2630

Publication Date

May 2015

Volume

17

Start / End Page

053044

Related Subject Headings

  • Fluids & Plasmas
  • 51 Physical sciences
  • 02 Physical Sciences