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TF_rIDT

Python implementation of paper: Transfer-Function Approach to Substrate-Enhanced Diffraction Tomography.

Citation

If you find this project is useful in your research, please consider citing our papers:

  1. Tongyu Li, Yi Shen, Dashan Dong, Danchen Jia, Jianpeng Ao, Ji-Xin Cheng, Lei Tian, "Transfer-Function Approach to Substrate-Enhanced Diffraction Tomography", Optica, (2026)

  2. Tongyu Li, Jiabei Zhu, Yi Shen, Lei Tian, "Reflection-mode diffraction tomography of multiple-scattering samples on a reflective substrate from intensity images", Optica, 12 (3), 406-417, (2025)

Abstract

Forward and backward scattering provide complementary volumetric and interfacial information, yet conventional three-dimensional (3D) imaging typically accesses only one. We present a substrate-enhanced diffraction tomography approach that simultaneously recovers both channels under multi-angle epi-illumination. This geometry captures one forward- and two backward-scattering bands in axially symmetric Fourier regions, where their complementary coverage enables phase–absorption separation in a non-Hermitian spectrum. Explicit 3D transfer functions are derived for both channels, and an axial Kramers–Kronig relation is established to incorporate substrate-induced boundary conditions in a unified framework. Our results establish a label-free, high-resolution 3D imaging modality that surpasses the limits of existing methods.

Results Visualization

Download dataset

You can download dataset from here.

How to start

After download the dataset, put it under "./main/Data/" directory and run "mainCell_rIDT_linear_SimRecon.py" or "mainCelegans_rIDT_linear_Crop.py".

Requirements

Python 3.11

NumPy 1.26

PyTorch 2.3

SciPy 1.13

License

This project is licensed under the terms of the MIT license. see the LICENSE file for details

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Python implementation of paper: Transfer-Function Approach to Substrate-Enhanced Diffraction Tomography

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