Paper
5 September 2008 Image reconstruction by phase retrieval with transverse translation diversity
Author Affiliations +
Abstract
Measuring a series of far-field intensity patterns from an object, taken after a transverse translation of the object with respect to a known illumination pattern, has been shown to make the problem of image reconstruction by phase retrieval much more robust. However, previously reported reconstruction algorithms [Phys. Rev. Lett. 93, 023903 (2004)] rely on an accurate knowledge of the translations and illumination pattern for a successful reconstruction. We developed a nonlinear optimization algorithm that allows optimization over the translations and illumination pattern, dramatically improving the reconstructions if the system parameters are inaccurately known [Opt. Express 16, 7264 (2008)]. In this paper we compare reconstructions obtained with these algorithms under realistic experimental scenarios.
© (2008) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Manuel Guizar-Sicairos and James R. Fienup "Image reconstruction by phase retrieval with transverse translation diversity", Proc. SPIE 7076, Image Reconstruction from Incomplete Data V, 70760A (5 September 2008); https://doi.org/10.1117/12.792622
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CITATIONS
Cited by 6 scholarly publications.
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KEYWORDS
Reconstruction algorithms

Optimization (mathematics)

Phase retrieval

Diffraction

Image restoration

Error analysis

Fourier transforms

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