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Modified Gerchberg-Saxton (G-S) Algorithm and Its Application.

Tieyu Zhao1, Yingying Chi1

  • 1Information Science Teaching and Research Section, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China.

Entropy (Basel, Switzerland)
|December 3, 2020
PubMed
Summary
This summary is machine-generated.

Modified Gerchberg-Saxton (G-S) algorithms using Fresnel transforms offer improved phase retrieval. Double-phase retrieval (DPR) and multiple-phase retrieval (MPR) algorithms achieve lossless information recovery and enhance image encryption security.

Keywords:
G-S algorithmdouble-phase retrieval algorithmimage encryptionmultiple-phase retrieval algorithmsingle-phase retrieval algorithm

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Area of Science:

  • Optics and Photonics
  • Information Science
  • Computer Science

Background:

  • The Gerchberg-Saxton (G-S) algorithm is a standard phase retrieval method.
  • The G-S algorithm often yields approximate solutions, limiting its application in precise optical information processing.

Purpose of the Study:

  • To develop modified Gerchberg-Saxton algorithms for improved phase retrieval accuracy.
  • To enhance optical information processing and image encryption security through novel algorithms.

Main Methods:

  • Proposed modified Gerchberg-Saxton algorithms: single-phase retrieval (SPR), double-phase retrieval (DPR), and multiple-phase retrieval (MPR).
  • Algorithms are based on the Fresnel transform domain.
  • Evaluated convergence properties and solution accuracy.

Main Results:

  • SPR algorithm shows improved convergence over G-S but does not guarantee exact solutions.
  • DPR and MPR algorithms demonstrate excellent convergence and achieve lossless information recovery.
  • Proposed algorithms offer security advantages and verification reliability for image encryption.

Conclusions:

  • Modified G-S algorithms, particularly DPR and MPR, provide exact phase retrieval and lossless data recovery.
  • The developed multiple-image encryption scheme significantly enhances system efficiency.
  • These algorithms present new possibilities for phase retrieval applications and optical security.