Bandwidth-optimized regularization for low-frequency recovery in quantitative phase imaging

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Authors: Alejandro Silva, Julia Alonso
Cited by: 3
References: 26

Abstract

We propose the expanded matrix solution of the transport of intensity equation (EMS-TIE), introducing a tunable parameter ( th ) to the Tikhonov regularization term. This design addresses the limitation of conventional Tikhonov solvers, where the filter’s bandwidth is strictly coupled to the cutoff frequency. By decoupling these parameters, the proposed design allows for tuning the filter shape to optimize signal recovery. Simulations and experiments demonstrate that increasing passband width significantly reduces retrieval error and enhances low-frequency phase recovery, outperforming standard Tikhonov-based methods.

Fields of Study & Subjects

Digital Holography and Microscopy Adaptive optics and wavefront sensing Advanced X-ray Imaging Techniques

Publication details

Journal / source
Journal of the Optical Society of America A
Publisher
Optica Publishing Group
Volume
43
Issue
4
Pages
A1–A1
Publication date
10 February 2026
Language
EN