Optical Transfer Function Reconstruction in Incoherent Fourier Ptychography

Xie, Zongliang; Qi, Bo; Ma, Haotong; Ren, Guanghui; Tan, Yufeng; He, Bin; Zeng, Hengliang; Jiang, Chuan

doi:10.1088/0256-307x/33/4/044206

Cited by 7 publications

(5 citation statements)

References 8 publications

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“…As such, many algorithmic extensions of FP are also applicable in piFP. 26,27 Notably, because of the ability to blindly recover an unknown illumination pattern, piFP is also considered a type of blind SIM technique. 9,28,29 To date, piFP has found applications in distinct fields, including computational photography, 25 fluorescence imaging, 24,[30][31][32] and optical synthetic aperture imaging.…”

Section: Article Pubsaiporg/aip/appmentioning

confidence: 99%

Toward robust super-resolution imaging: A low-rank approximation approach for pattern-illuminated Fourier ptychography

Zhang,

Wei,

Yang

et al. 2024

APL Photonics

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Pattern-illuminated Fourier ptychography (piFP) is an elegant combination of structured illumination imaging and a Fourier ptychographic algorithm with the ability to image beyond the diffraction limit of the employed optics. Artifact-free piFP super-resolution reconstruction requires a high level of stability in the illumination pattern. However, unpredictable pattern variation occurs in the presence of environment perturbation, intensity fluctuation, and pointing instability at the source, leading to declines in image reconstruction quality. To address this issue, we present an efficient and robust piFP algorithm based on low-rank approximation (LRA-piFP), which relaxes the requirement for the stability of illumination patterns. This LRA-piFP method can model frame-wise pattern variation during a full scan, thus improve the reconstruction quality significantly. We take numerical simulations and proof-of-principle experiments with both long-range imaging and microscopy for demonstrations. Results show that the LRA-piFP method can handle different kinds of pattern variation and outperforms other state-of-the-art techniques in terms of reconstruction quality and resolution improvement. Our method provides effective experimental robustness to piFP with a natural algorithmic extension, paving the way for its application in both macroscopic and microscopic imaging.

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Section: Article Pubsaiporg/aip/appmentioning

confidence: 99%

Toward robust super-resolution imaging: A low-rank approximation approach for pattern-illuminated Fourier ptychography

Zhang,

Wei,

Yang

et al. 2024

APL Photonics

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“…In 1980, Namias first put forward the definition and properties of fractional Fourier transform. [46,47] In 1987, Mcbride and others perfected the concept of Namias, and they gave a strict mathematical definition of the fractional Fourier transform. [48] The integral form of the fractional Fourier transform of the function f (x) is…”

Section: Fractional Fourier Transform (Frft)mentioning

confidence: 99%

Optical image encryption algorithm based on a new four-dimensional memristive hyperchaotic system and compressed sensing

Long

Jiang

et al. 2023

Chinese Phys. B

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Some existing image encryption schemes use simple low-dimensional chaotic systems, which makes the algorithms insecure and vulnerable to brute force attacks and cracking. Some algorithms have issues such as weak correlation with plaintext images, poor image reconstruction quality, and low efficiency in transmission and storage. To solve these issues, this paper proposes an optical image encryption algorithm based on a new four-dimensional memristive hyperchaotic system (4-D MHS) and compressed sensing (CS). Firstly, this paper proposes a new 4-D MHS, which has larger key space, richer dynamic behavior and more complex hyperchaotic characteristics. The introduction of CS can reduce the image size and the transmission burden of hardware devices. The introduction of double random phase encoding (DRPE) enables this algorithm has the ability of parallel data processing and multi-dimensional coding space, and the hyperchaotic characteristics of 4-D MHS make up for the nonlinear deficiency of DRPE. Secondly, a construction method of the deterministic chaotic measurement matrix (DCMM) is proposed. Using DCMM can not only save a lot of transmission bandwidth and storage space, but also ensure good quality of reconstructed images. Thirdly, the confusion method and diffusion method proposed are related to plaintext images, which require both four hyperchaotic sequences of 4-D MHS and row and column keys based on plaintext images. The generation process of hyperchaotic sequences is closely related to the hash value of plaintext images. Therefore, this algorithm has high sensitivity to plaintext images. The experimental testing and comparative analysis results show that proposed algorithm has good security and effectiveness.

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“…The optical transfer function OTF of the collection imaging system and the motion vector of the unknown pattern light are prior knowledge. Note that, subsequent works complemented the IFP [13], [19]. The OTF could be updated with the reconstruction processing [13] and the motion vector could be calculated by the raw images [19].…”

Section: Incoherent Fourier Ptychographymentioning

confidence: 99%

“…Note that, subsequent works complemented the IFP [13], [19]. The OTF could be updated with the reconstruction processing [13] and the motion vector could be calculated by the raw images [19]. 2) For the n th iteration, generate a target image I t n by multiplying the sample estimate O n−1 and with the illumination P n−1 as follows:…”

Section: Incoherent Fourier Ptychographymentioning

confidence: 99%

Momentum-Accelerated Incoherent Fourier Ptychographic Photography

Wei

Xie

et al. 2020

IEEE Photonics J.

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Incoherent Fourier Ptychography (IFP) is a super-resolution imaging method, which requires lots of iteration time to recover the high-resolution object image from raw images. To improve the convergence rate of the IFP, we propose an improved algorithm, termed momentum-accelerated Incoherent Fourier Ptychography (mIFP). Based on the IFP algorithm, the mIFP adds momentum that is commonly used to accelerate the training of weights in a neural network. During the update process, the current vector is updated based on the downward trend of the objective function during several updates and the previous vector. The updated vector is then added to the objective function. We demonstrate the proposed approach by both simulations and experiments. By reducing the recovery time, mIFP may accelerate the applications of IFP.

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Optical Transfer Function Reconstruction in Incoherent Fourier Ptychography

Cited by 7 publications

References 8 publications

Toward robust super-resolution imaging: A low-rank approximation approach for pattern-illuminated Fourier ptychography

Toward robust super-resolution imaging: A low-rank approximation approach for pattern-illuminated Fourier ptychography

Optical image encryption algorithm based on a new four-dimensional memristive hyperchaotic system and compressed sensing

Momentum-Accelerated Incoherent Fourier Ptychographic Photography

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