From f334bd832903c90561de6649f8eb09251bbd6fc8 Mon Sep 17 00:00:00 2001 From: init <> Date: Mon, 25 Nov 2024 00:19:23 +0900 Subject: [PATCH] no message --- _projects/6_project.md | 552 ++++++----------------------------------- 1 file changed, 80 insertions(+), 472 deletions(-) diff --git a/_projects/6_project.md b/_projects/6_project.md index 20dfc21..578991f 100644 --- a/_projects/6_project.md +++ b/_projects/6_project.md @@ -1,516 +1,132 @@ --- layout: page -title: Fourier Ptychogrphic Phase Retrieval With Convex Optimization +title: Fourier Ptychographic Phase Retrieval With Convex Optimization description: img: assets/img/smear.jpg importance: 2 category: computational microscopy --- - - - - - - - - - - - - - - - - - - + - - - - - + + + + - - - - - - - -
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- Kyung Chul Lee1,2, - Hyesuk Chae1, - Shiqi Xu2, - Kyungwon Lee1,
- Roarke Horstmeyer2 - Byung-Woo Hong3,✉ - Seung Ah Lee1,✉ - - -​
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-​ 1 Yonsei University -​ 2 Duke University -​ 3 Chung-Ang University -​
-​ ✉ Corresponding Authors
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Abstract

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-​ Fourier ptychography (FP) is a powerful computational imaging technique that provides both super-resolution and quantitative phase imaging capabilities by scanning samples in Fourier space with angle-varying illuminations. However, the image reconstruction in FP is inherently ill-posed, particularly when the measurements are noisy and have insufficient data redundancy in the Fourier space. To improve FP reconstruction in high-throughput imaging scenarios, we propose a regularized FP reconstruction algorithm utilizing anisotropic total variation (TV) and Tikhonov regularizations for the object and the pupil functions, respectively. To solve this regularized FP problem, we formulate a reconstruction algorithm using alternating direction method of multipliers and show that our approach successfully recovers high-quality images with sparsely sampled and/or noisy measurements. The results are quantitatively and qualitatively compared against various FP reconstruction algorithms to analyze the effect of regularization under harsh imaging conditions. In particular, we demonstrate the effectiveness of our method on the real experimental FP microscopy images, where the TV regularizer effectively suppresses the measurement noise while maintaining the edge information in the biological specimen and helps retrieve the correct amplitude and phase images even under insufficient sampling. -​

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What We Contribute?

-​ - derivation of the algorithm for TV-regularized FP reconstruction algorithm via ADMM.
-​ -​ - validation of Tikhonov regularization on the pupil function that ensures a smooth pupil phase profile.
-​ - - demonstration of the performance of our method with extremely low measurement SNR and Fourier-space subsampling for reduced number of measurements.
- - application of our algorithm using real experimental data, which shows the effectiveness of TV-regularizer for both super-resolution and phase imaging of biological specimens under challenging imaging conditions.
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+ 1 Yonsei University + 2 Duke University + 3 Chung-Ang University
+ ✉ Corresponding Authors +
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Abstract

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+ Fourier ptychography (FP) is a powerful computational imaging technique that provides both super-resolution + and quantitative phase imaging capabilities by scanning samples in Fourier space with angle-varying illuminations. + However, the image reconstruction in FP is inherently ill-posed, particularly when the measurements are noisy + and have insufficient data redundancy in the Fourier space. To improve FP reconstruction in high-throughput + imaging scenarios, we propose a regularized FP reconstruction algorithm utilizing anisotropic total variation + (TV) and Tikhonov regularizations for the object and the pupil functions, respectively. Our approach, based on + the alternating direction method of multipliers (ADMM), successfully recovers high-quality images with sparsely + sampled and/or noisy measurements. +

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What We Contribute?

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  • Derivation of the algorithm for TV-regularized FP reconstruction using ADMM.
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  • Validation of Tikhonov regularization on the pupil function to ensure a smooth pupil phase profile.
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  • Demonstration of performance under extremely low measurement SNR and Fourier-space subsampling.
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  • Application to real experimental data, showing the effectiveness of TV-regularizer for biological specimens.
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