Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Penalized-likelihood image reconstruction for digital holography

Not Accessible

Your library or personal account may give you access

Abstract

Conventional numerical reconstruction for digital holography using a filter applied in the spatial-frequency domain to extract the primary image may yield suboptimal image quality because of the loss in high-frequency components and interference from other undesirable terms of a hologram. We propose a new numerical reconstruction approach using a statistical technique. This approach reconstructs the complex field of the object from the real-valued hologram intensity data. Because holographic image reconstruction is an ill-posed problem, our statistical technique is based on penalized-likelihood estimation. We develop a Poisson statistical model for this problem and derive an optimization transfer algorithm that monotonically decreases the cost function at each iteration. Simulation results show that our statistical technique has the potential to improve image quality in digital holography relative to conventional reconstruction techniques.

© 2004 Optical Society of America

Full Article  |  PDF Article
More Like This
Relaxed ordered-subset algorithm for penalized-likelihood image restoration

Saowapak Sotthivirat and Jeffrey A. Fessler
J. Opt. Soc. Am. A 20(3) 439-449 (2003)

ADMM-inspired image reconstruction for terahertz off-axis digital holography

Murielle Kirkove, Yuchen Zhao, Olivier Leblanc, Laurent Jacques, and Marc Georges
J. Opt. Soc. Am. A 41(3) A1-A14 (2024)

Three-dimensional photon counting integral imaging reconstruction using penalized maximum likelihood expectation maximization

Doron Aloni, Adrian Stern, and Bahram Javidi
Opt. Express 19(20) 19681-19687 (2011)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (8)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (106)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved