A flexible and accurate total variation and cascaded denoisers-based image reconstruction algorithm for hyperspectrally compressed ultrafast photography

Authors: Zihan Guo, Jiali Yao, Dalong Qi, Pengpeng Ding, Chengzhi Jin, Ning Xu, Zhiling Zhang, Yunhua Yao, Lianzhong Deng, Zhiyong Wang, Zhenrong Sun, Shian Zhang

arXiv: 2309.02835v1 - DOI (physics.optics)
25 pages, 5 figures and 1 table
License: CC BY 4.0

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Hyperspectrally compressed ultrafast photography (HCUP) is a groundbreaking technique that enables the simultaneous temporal and spectral imaging of non-repeatable or difficult-to-repeat transient events in a single exposure. It achieves an incredibly high frame rate of tens of trillions of frames per second and a sequence depth of several hundred, revolutionizing single-shot ultrafast optical imaging. To address the poor image reconstruction quality caused by the large sequence depth and the limited fidelities of traditional reconstruction algorithms, this study proposes a flexible image reconstruction algorithm called the total variation (TV) and cascaded denoisers (CD) algorithm for HCUP. The algorithm leverages the TV denoising model cascaded with advanced deep learning-based denoising models within the iterative plug-and-play alternating direction method of multipliers framework. This approach preserves image smoothness while utilizing deep denoising networks to obtain more prior information, effectively solving the common sparsity representation problem in local similarity and motion compensation. Both simulation and experimental results demonstrate that the proposed TV-CD algorithm significantly improves the image reconstruction accuracy and quality of HCUP. It overcomes previous restrictions by capturing fine structures in complex transient scenes. This advancement has significant implications for various fields, including capturing high-dimensional complex physical, chemical, and biological ultrafast optical scenes. In conclusion, this study presents a refined image reconstruction algorithm based on TV and cascaded denoisers for hyperspectrally compressed ultrafast photography. The algorithm's effectiveness in improving image reconstruction accuracy and quality paves the way for practical applications of HCUP in diverse scientific domains.
AI-generated keywords: HCUP Ultrafast Photography Total Variation Cascaded Denoisers Image Reconstruction

AI-generated Key Points

  • Hyperspectrally compressed ultrafast photography (HCUP) enables simultaneous temporal and spectral imaging of non-repeatable or difficult-to-repeat transient events in a single exposure
  • HCUP achieves an incredibly high frame rate of tens of trillions of frames per second and a sequence depth of several hundred
  • The study proposes a flexible image reconstruction algorithm called the total variation (TV) and cascaded denoisers (CD) algorithm for HCUP
  • The algorithm leverages TV denoising model cascaded with advanced deep learning-based denoising models within the iterative plug-and-play alternating direction method of multipliers framework
  • The proposed TV-CD algorithm significantly improves image reconstruction accuracy and quality of HCUP, capturing fine structures in complex transient scenes
  • This advancement has significant implications for various fields, including capturing high-dimensional complex physical, chemical, and biological ultrafast optical scenes
  • The refined image reconstruction algorithm based on TV and cascaded denoisers paves the way for practical applications of HCUP in diverse scientific domains.
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Abstract: Hyperspectrally compressed ultrafast photography (HCUP) based on compressed sensing and the time- and spectrum-to-space mappings can simultaneously realize the temporal and spectral imaging of non-repeatable or difficult-to-repeat transient events passively in a single exposure. It possesses an incredibly high frame rate of tens of trillions of frames per second and a sequence depth of several hundred, and plays a revolutionary role in single-shot ultrafast optical imaging. However, due to the ultra-high data compression ratio induced by the extremely large sequence depth as well as the limited fidelities of traditional reconstruction algorithms over the reconstruction process, HCUP suffers from a poor image reconstruction quality and fails to capture fine structures in complex transient scenes. To overcome these restrictions, we propose a flexible image reconstruction algorithm based on the total variation (TV) and cascaded denoisers (CD) for HCUP, named the TV-CD algorithm. It applies the TV denoising model cascaded with several advanced deep learning-based denoising models in the iterative plug-and-play alternating direction method of multipliers framework, which can preserve the image smoothness while utilizing the deep denoising networks to obtain more priori, and thus solving the common sparsity representation problem in local similarity and motion compensation. Both simulation and experimental results show that the proposed TV-CD algorithm can effectively improve the image reconstruction accuracy and quality of HCUP, and further promote the practical applications of HCUP in capturing high-dimensional complex physical, chemical and biological ultrafast optical scenes.

Submitted to arXiv on 06 Sep. 2023

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