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Updated: May 13, 2026
10:16
Digital Inline Holographic Microscopy (DIHM) of Weakly-scattering Subjects
Published on: February 8, 2014
A practical inverse-problem approach to digital holographic reconstruction
Aurélien Bourquard1, Nicolas Pavillon, Emrah Bostan
1Biomedical Imaging Group, E´cole polytechnique fe´de´rale de Lausanne, Switzerland. aurelien.bourquard@epfl.ch
Optics Express
|March 14, 2013
Summary
This study introduces a novel digital holography reconstruction method using total-variation regularization. The technique enables high-quality imaging with fewer measurements, improving efficiency in holographic data acquisition.
Area of Science:
- Optics and Photonics
- Computational Imaging
- Digital Holography
Background:
- Digital holography enables 3D reconstruction of microscopic objects.
- Current reconstruction methods often require extensive data acquisition.
- Minimizing energy functionals is a key approach in inverse problems.
Purpose of the Study:
- To develop a new technique for high-quality reconstruction from single digital holographic acquisitions.
- To reduce the number of measurements needed for accurate holographic reconstruction.
- To improve the efficiency and practicality of digital holography.
Main Methods:
- Proposed a nonlinear inverse problem approach for complex object field reconstruction.
- Utilized total-variation (TV) regularization terms for amplitude and phase constraints.
- Developed an algorithm that tolerates downsampling of holographic data.
Main Results:
- Achieved high-quality reconstruction from single digital holographic acquisitions.
- Demonstrated effective reconstruction with substantially fewer measurements than state-of-the-art methods.
- Validated the technique using simulated and real off-axis holograms.
Conclusions:
- The proposed TV-regularized nonlinear inverse problem offers a robust method for digital holography.
- The algorithm's tolerance to downsampling significantly reduces data acquisition requirements.
- This technique enhances the efficiency and applicability of single-shot holographic imaging.
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