Automatic Focusing of Off-Axis Digital Holographic Microscopy by Combining the Discrete Cosine Transform Sparse Dictionary with the Edge Preservation Index

Automatic focusing is a crucial research issue for achieving high-quality reconstructed images in digital holographic microscopy. This paper proposes an automatic focusing method that combines the discrete cosine transform (DCT) sparse dictionary with edge preservation index (EPI) criteria for off-a...

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Main Authors: Zhaoliang Liu, Peizhen Qiu, Yupei Zhang
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Optics
Subjects:
Online Access:https://www.mdpi.com/2673-3269/6/2/17
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author Zhaoliang Liu
Peizhen Qiu
Yupei Zhang
author_facet Zhaoliang Liu
Peizhen Qiu
Yupei Zhang
author_sort Zhaoliang Liu
collection DOAJ
description Automatic focusing is a crucial research issue for achieving high-quality reconstructed images in digital holographic microscopy. This paper proposes an automatic focusing method that combines the discrete cosine transform (DCT) sparse dictionary with edge preservation index (EPI) criteria for off-axis digital holographic microscopy. Specifically, within a predefined search range, Fresnel transform is utilized to reconstruct the off-axis digital hologram, yielding reconstruction images at various reconstruction distances. Synchronously, the DCT sparse dictionary is employed to reduce speckle noise, and the EPI is calculated between the denoised image and original image. The value of EPI is used as an indicator for assessing the focal position. A single-peak focusing curve is obtained within the search range 10 mm, with a step size of 0.1 mm. Once the optimal focus position is determined, a focused and noise-reduced reconstructed image can be simultaneously achieved.
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series Optics
spelling doaj-art-9c5f9929710846a59efab09e6208ab5f2025-08-20T03:16:35ZengMDPI AGOptics2673-32692025-05-01621710.3390/opt6020017Automatic Focusing of Off-Axis Digital Holographic Microscopy by Combining the Discrete Cosine Transform Sparse Dictionary with the Edge Preservation IndexZhaoliang Liu0Peizhen Qiu1Yupei Zhang2Department of Applied Physics, Huzhou University, Huzhou 313000, ChinaDepartment of Applied Physics, Huzhou University, Huzhou 313000, ChinaZhejiang Provincial Key Laboratory of Energy and Environmental Protection on Measurement and Detection, Zhejiang Institute of Quality Sciences, Hangzhou 310000, ChinaAutomatic focusing is a crucial research issue for achieving high-quality reconstructed images in digital holographic microscopy. This paper proposes an automatic focusing method that combines the discrete cosine transform (DCT) sparse dictionary with edge preservation index (EPI) criteria for off-axis digital holographic microscopy. Specifically, within a predefined search range, Fresnel transform is utilized to reconstruct the off-axis digital hologram, yielding reconstruction images at various reconstruction distances. Synchronously, the DCT sparse dictionary is employed to reduce speckle noise, and the EPI is calculated between the denoised image and original image. The value of EPI is used as an indicator for assessing the focal position. A single-peak focusing curve is obtained within the search range 10 mm, with a step size of 0.1 mm. Once the optimal focus position is determined, a focused and noise-reduced reconstructed image can be simultaneously achieved.https://www.mdpi.com/2673-3269/6/2/17digital holographic microscopyautomatic focusingdiscrete cosine transform sparse dictionaryedge preservation index
spellingShingle Zhaoliang Liu
Peizhen Qiu
Yupei Zhang
Automatic Focusing of Off-Axis Digital Holographic Microscopy by Combining the Discrete Cosine Transform Sparse Dictionary with the Edge Preservation Index
Optics
digital holographic microscopy
automatic focusing
discrete cosine transform sparse dictionary
edge preservation index
title Automatic Focusing of Off-Axis Digital Holographic Microscopy by Combining the Discrete Cosine Transform Sparse Dictionary with the Edge Preservation Index
title_full Automatic Focusing of Off-Axis Digital Holographic Microscopy by Combining the Discrete Cosine Transform Sparse Dictionary with the Edge Preservation Index
title_fullStr Automatic Focusing of Off-Axis Digital Holographic Microscopy by Combining the Discrete Cosine Transform Sparse Dictionary with the Edge Preservation Index
title_full_unstemmed Automatic Focusing of Off-Axis Digital Holographic Microscopy by Combining the Discrete Cosine Transform Sparse Dictionary with the Edge Preservation Index
title_short Automatic Focusing of Off-Axis Digital Holographic Microscopy by Combining the Discrete Cosine Transform Sparse Dictionary with the Edge Preservation Index
title_sort automatic focusing of off axis digital holographic microscopy by combining the discrete cosine transform sparse dictionary with the edge preservation index
topic digital holographic microscopy
automatic focusing
discrete cosine transform sparse dictionary
edge preservation index
url https://www.mdpi.com/2673-3269/6/2/17
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