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In this paper, we consider the highly ill-posed problem of jointly recovering two real-valued signals from the phaseless measurements of their circular convolution. The problem arises in various imaging modalities such as Fourier…

Image and Video Processing · Electrical Eng. & Systems 2020-03-02 Fahad Shamshad , Ali Ahmed

In the last five decades, iterative phase retrieval methods draw large amount of interest across the research community as a non-interferometric approach to recover quantitative phase distributions from one (or more) intensity measurement.…

Optics · Physics 2020-07-21 Nathaniel Hai , Joseph Rosen

Phase imaging and wavefront reconstruction from noisy observations of complex exponent is a topic of this paper. It is a highly non-linear problem because the exponent is a 2{\pi}-periodic function of phase. The reconstruction of phase and…

Computer Vision and Pattern Recognition · Computer Science 2017-11-02 Vladimir Katkovnik , Mykola Ponomarenko , Karen Egiazarian

Sparse-view computed tomography (CT) can be used to reduce radiation dose greatly but is suffers from severe image artifacts. Recently, the deep learning based method for sparse-view CT reconstruction has attracted a major attention.…

Image and Video Processing · Electrical Eng. & Systems 2022-11-21 Wenjun Xia , Wenxiang Cong , Ge Wang

Many spectral CT applications require accurate material decomposition. Existing material decomposition algorithms are often susceptible to significant noise magnification or, in the case of one-step model-based approaches, hampered by slow…

Medical Physics · Physics 2025-07-22 Xiao Jiang , Grace J. Gang , J. Webster Stayman

Deep neural networks have emerged as effective tools for computational imaging including quantitative phase microscopy of transparent samples. To reconstruct phase from intensity, current approaches rely on supervised learning with training…

Image and Video Processing · Electrical Eng. & Systems 2020-01-28 Emrah Bostan , Reinhard Heckel , Michael Chen , Michael Kellman , Laura Waller

In Part I of this diptych, we outlined the theory and an analysis methodology for quantitative phase recovery from real-space distortions of Fresnel images acquired in the parallel mode of transmission electron microscopy (TEM). In that…

Materials Science · Physics 2021-09-22 G. W. Paterson , G. M. Macauley , S. McVitie , Y. Togawa

Over the past few years, dictionary learning (DL)-based methods have been successfully used in various image reconstruction problems. However, traditional DL-based computed tomography (CT) reconstruction methods are patch-based and ignore…

(This paper was written in November 2011 and never published. It is posted on arXiv.org in its original form in June 2016). Many recent object recognition systems have proposed using a two phase training procedure to learn sparse…

Computer Vision and Pattern Recognition · Computer Science 2016-06-07 Kevin Jarrett , Koray Kvukcuoglu , Karol Gregor , Yann LeCun

Quantitative phase imaging (QPI) has been widely applied in characterizing cells and tissues. Spatial light interference microscopy (SLIM) is a highly sensitive QPI method, due to its partially coherent illumination and common path…

Image and Video Processing · Electrical Eng. & Systems 2024-06-12 Yuheng Jiao , Yuchen R. He , Mikhail E. Kandel , Xiaojun Liu , Wenlong Lu , Gabriel Popescu

We present a variational Bayesian method of joint image reconstruction and point spread function (PSF) estimation when the PSF of the imaging device is only partially known. To solve this semi-blind deconvolution problem, prior…

Data Analysis, Statistics and Probability · Physics 2013-03-18 Se Un Park , Nicolas Dobigeon , Alfred O. Hero

Hyperspectral images (HSIs) play a crucial role in remote sensing but are often degraded by complex noise patterns. Ensuring the physical property of the denoised HSIs is vital for robust HSI denoising, giving the rise of deep…

Image and Video Processing · Electrical Eng. & Systems 2025-12-23 Jin Ye , Jingran Wang , Fengchao Xiong , Jingzhou Chen , Yuntao Qian

With applications ranging from metabolomics to histopathology, quantitative phase microscopy (QPM) is a powerful label-free imaging modality. Despite significant advances in fast multiplexed imaging sensors and deep-learning-based inverse…

Single image inverse problem is a notoriously challenging ill-posed problem that aims to restore the original image from one of its corrupted versions. Recently, this field has been immensely influenced by the emergence of deep-learning…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Qianwei Zhou , Chen Zhou , Haigen Hu , Yuhang Chen , Shengyong Chen , Xiaoxin Li

Recovering sharp images from dual-pixel (DP) pairs with disparity-dependent blur is a challenging task.~Existing blur map-based deblurring methods have demonstrated promising results. In this paper, we propose, to the best of our knowledge,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-22 Hao Yang , Liyuan Pan , Yan Yang , Richard Hartley , Miaomiao Liu

We present a tomographic imaging technique, termed Deep Prior Diffraction Tomography (DP-DT), to reconstruct the 3D refractive index (RI) of thick biological samples at high resolution from a sequence of low-resolution images collected…

Image and Video Processing · Electrical Eng. & Systems 2021-11-18 Kevin C. Zhou , Roarke Horstmeyer

Oversmoothing remains a persistent problem when applying deep learning to off-axis quantitative phase imaging (QPI). End-to-end U-Nets favour low-frequency content and under-represent fine, diagnostic detail. We trace this issue to spectral…

Image and Video Processing · Electrical Eng. & Systems 2025-06-16 Yi Zhang

Images taken under the low-light condition often contain blur and saturated pixels at the same time. Deblurring images with saturated pixels is quite challenging. Because of the limited dynamic range, the saturated pixels are usually…

Computer Vision and Pattern Recognition · Computer Science 2023-08-11 Liang Chen , Jiawei Zhang , Zhenhua Li , Yunxuan Wei , Faming Fang , Jimmy Ren , Jinshan Pan

We propose a new algorithm to learn a dictionary for reconstructing and sparsely encoding signals from measurements without phase. Specifically, we consider the task of estimating a two-dimensional image from squared-magnitude measurements…

Optimization and Control · Mathematics 2016-11-23 Andreas M. Tillmann , Yonina C. Eldar , Julien Mairal

The reconstruction of X-rays CT images from sparse or limited-angle geometries is a highly challenging task. The lack of data typically results in artifacts in the reconstructed image and may even lead to object distortions. For this…

Computer Vision and Pattern Recognition · Computer Science 2026-02-12 Davide Evangelista , Pasquale Cascarano , Elena Loli Piccolomini