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Updated: Jul 7, 2026

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques
Published on: December 3, 2013
Phase retrieval with Fourier-weighted projections.
Manuel Guizar-Sicairos1, James R Fienup
1Department of Physics, University of Arkansas, Arkansas 72701, USA.
Image sidelobes in coherent lensless imaging are a challenge for phase retrieval. A new iterative algorithm with weighted projections enables analytic continuation, achieving full-resolution reconstructions without sidelobe reduction windows.
Area of Science:
- Optics and Photonics
- Computational Imaging
Background:
- Coherent lensless imaging suffers from image sidelobes due to finite detector arrays.
- These sidelobes pose convergence issues for phase retrieval algorithms using object support constraints.
Purpose of the Study:
- To address the challenge of truncated far-field measurements in coherent lensless imaging.
- To develop a novel method for mitigating image sidelobes and improving phase retrieval accuracy.
Main Methods:
- Proposed a controlled analytic continuation technique.
- Employed an iterative transform algorithm with weighted projections.
- Tested the approach to avoid sidelobe reduction windows.
Main Results:
- Successfully mitigated the problem of truncated far-field measurements.
- Achieved full-resolution image reconstructions.
- Demonstrated the effectiveness of the iterative transform algorithm with weighted projections.
Conclusions:
- The proposed iterative transform algorithm with weighted projections effectively overcomes sidelobe issues in coherent lensless imaging.
- This method allows for accurate phase retrieval and full-resolution reconstructions.
- It offers an alternative to traditional sidelobe reduction techniques.
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