Hessian intensity-only diffraction tomography for 3D refractive index reconstruction

IF 3.7 2区工程技术 Q2 OPTICS

Optics and Lasers in Engineering Pub Date : 2025-08-26 DOI:10.1016/j.optlaseng.2025.109285

Lu Zhang , Yuting Wang , Tong Liu , Huijun Wang , Bingwen Zhang , Yuxiang Huang , Chen Fan , Zewen Yang , Hong Zhao , Li Yuan , Cuiping Yao , Lifang Tian

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引用次数: 0

Abstract

Intensity-only optical diffraction tomography (IDT) is a recently developed label-free three-dimensional (3D) refractive index (RI) quantitative imaging technique for biomedical fields. However, its inherent missing cone problem and reliance solely on intensity measurement led to underestimation of RI in 3D space and elongation of RI distribution along the optical axis. In this paper, we propose Hessian Intensity-only diffraction tomography (Hessian-IDT) method to optimize the missing cone problem and the limitations associated with intensity-only measurements. Hessian-IDT iteratively reconstructs the scattering potential of the sample using the 3D extension of the Fourier Ptychographic Microscopy (FPM) algorithm, and Hessian regularization and non-negative constraints are added to the iterative process using the Split Bregman algorithm by incorporating prior knowledge about sample smoothness and positivity. Cell simulation and complex sample simulation demonstrate that Hessian-IDT yields higher-quality 3D RI reconstructions compared to existing IDT methods. Our experiments using microspheres, label-free cheek cells, and transverse sections of Hydra support this conclusion. Hessian-IDT shows potential for advancing applications in biomedical fields.

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仅用于三维折射率重建的Hessian衍射层析成像

光强衍射层析成像（IDT）是近年来发展起来的一种用于生物医学领域的无标记三维（3D）折射率（RI）定量成像技术。然而，其固有的缺失锥问题和仅依赖于强度测量导致了三维空间中RI的低估和沿光轴的RI分布的延伸。在本文中，我们提出了Hessian仅强度衍射层析成像（Hessian- idt）方法来优化缺失锥问题和与仅强度测量相关的局限性。Hessian- idt利用傅里叶平面显微镜（Fourier Ptychographic Microscopy， FPM）算法的三维扩展迭代重建样品的散射势，并利用Split Bregman算法结合关于样品平滑性和正性的先验知识，在迭代过程中加入Hessian正则化和非负约束。细胞模拟和复杂样本模拟表明，与现有的IDT方法相比，Hessian-IDT产生更高质量的3D RI重建。我们使用微球、无标记颊细胞和九头蛇横切面的实验支持这一结论。Hessian-IDT显示了在生物医学领域推进应用的潜力。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Optics and Lasers in Engineering 工程技术-光学

CiteScore

8.90

自引率

8.70%

发文量

384

审稿时长

42 days

期刊介绍： Optics and Lasers in Engineering aims at providing an international forum for the interchange of information on the development of optical techniques and laser technology in engineering. Emphasis is placed on contributions targeted at the practical use of methods and devices, the development and enhancement of solutions and new theoretical concepts for experimental methods. Optics and Lasers in Engineering reflects the main areas in which optical methods are being used and developed for an engineering environment. Manuscripts should offer clear evidence of novelty and significance. Papers focusing on parameter optimization or computational issues are not suitable. Similarly, papers focussed on an application rather than the optical method fall outside the journal''s scope. The scope of the journal is defined to include the following: -Optical Metrology- Optical Methods for 3D visualization and virtual engineering- Optical Techniques for Microsystems- Imaging, Microscopy and Adaptive Optics- Computational Imaging- Laser methods in manufacturing- Integrated optical and photonic sensors- Optics and Photonics in Life Science- Hyperspectral and spectroscopic methods- Infrared and Terahertz techniques