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Complex blur such as the mixup of space-variant and space-invariant blur, which is hard to model mathematically, widely exists in real images. In this paper, we propose a novel image deblurring method that does not need to estimate blur…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 Chunzhi Gu , Xuequan Lu , Ying He , Chao Zhang

MRI images of the same subject in different contrasts contain shared information, such as the anatomical structure. Utilizing the redundant information amongst the contrasts to sub-sample and faithfully reconstruct multi-contrast images…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Xinwen Liu , Jing Wang , Fangfang Tang , Shekhar S. Chandra , Feng Liu , Stuart Crozier

With the proliferation of sophisticated cameras in modern society, the demand for accurate and visually pleasing images is increasing. However, the quality of an image captured by a camera may be degraded by noise. Thus, some processing of…

Image and Video Processing · Electrical Eng. & Systems 2024-07-18 Kelum Gajamannage

Deep learning has been widely used for solving image reconstruction tasks but its deployability has been held back due to the shortage of high-quality training data. Unsupervised learning methods, such as the deep image prior (DIP),…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Riccardo Barbano , Javier Antorán , Johannes Leuschner , José Miguel Hernández-Lobato , Bangti Jin , Željko Kereta

Estimating a Gibbs density function given a sample is an important problem in computational statistics and statistical learning. Although the well established maximum likelihood method is commonly used, it requires the computation of the…

Machine Learning · Computer Science 2023-03-14 Eldad Haber , Moshe Eliasof , Luis Tenorio

With the advent of interferometric instruments with 4 telescopes at the VLTI and 6 telescopes at CHARA, the scientific possibility arose to routinely obtain milli-arcsecond scale images of the observed targets. Such an image reconstruction…

Instrumentation and Methods for Astrophysics · Physics 2020-12-22 R. Claes , J. Kluska , H. Van Winckel , M. Min

Ptychography, a special case of the phase retrieval problem, is a popular method in modern imaging. Its measurements are based on the shifts of a locally supported window function. In general, direct recovery of an object from such…

Numerical Analysis · Mathematics 2020-10-28 Anton Forstner , Felix Krahmer , Oleh Melnyk , Nada Sissouno

MAP perturbation models have emerged as a powerful framework for inference in structured prediction. Such models provide a way to efficiently sample from the Gibbs distribution and facilitate predictions that are robust to random noise. In…

Machine Learning · Computer Science 2019-05-28 Asish Ghoshal , Jean Honorio

Image reconstruction including image restoration and denoising is a challenging problem in the field of image computing. We present a new method, called X-GANs, for reconstruction of arbitrary corrupted resource based on a variant of…

Computer Vision and Pattern Recognition · Computer Science 2018-08-15 Longfei Liu , Sheng Li , Yisong Chen , Guoping Wang

Hyperspectral (HS) unmixing is the process of decomposing an HS image into material-specific spectra (endmembers) and their spatial distributions (abundance maps). Existing unmixing methods have two limitations with respect to noise…

Image and Video Processing · Electrical Eng. & Systems 2024-03-20 Kazuki Naganuma , Shunsuke Ono

For lossy image compression systems, we develop an algorithm, iterative refinement, to improve the decoder's reconstruction compared to standard decoding techniques. Specifically, we propose a recurrent neural network approach for…

Computer Vision and Pattern Recognition · Computer Science 2018-11-13 Alexander G. Ororbia , Ankur Mali , Jian Wu , Scott O'Connell , David Miller , C. Lee Giles

Ptychography is a powerful computational imaging technique that transforms a collection of low-resolution images into a high-resolution sample reconstruction. Unfortunately, algorithms that are currently used to solve this reconstruction…

Image reconstruction from corrupted images is crucial across many domains. Most reconstruction networks are trained on post-ISP sRGB images, even though the image-signal-processing pipeline irreversibly mixes colors, clips dynamic range,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Nate Rothschild , Moshe Kimhi , Avi Mendelson , Chaim Baskin

This paper concerns a class of composite image reconstruction models for impluse noise removal, which is rather general and covers existing convex and nonconvex models proposed for reconstructing images with impluse noise. For this…

Optimization and Control · Mathematics 2024-03-27 Bujin Li , Shaohua Pan , Tieyong Zeng

Blind image restoration (IR) is a common yet challenging problem in computer vision. Classical model-based methods and recent deep learning (DL)-based methods represent two different methodologies for this problem, each with their own…

Image and Video Processing · Electrical Eng. & Systems 2024-05-02 Zongsheng Yue , Hongwei Yong , Qian Zhao , Lei Zhang , Deyu Meng , Kwan-Yee K. Wong

We study an approach to solving the phase retrieval problem as it arises in a phase-less imaging modality known as ptychography. In ptychography, small overlapping sections of an unknown sample (or signal, say $x_0\in \mathbb{C}^d$) are…

Numerical Analysis · Mathematics 2019-10-09 Brian Preskitt , Rayan Saab

The reconstruction of an unknown quantity from noisy measurements is a mathematical problem relevant in most applied sciences, for example, in medical imaging, radar inverse scattering, or astronomy. This underlying mathematical problem is…

Optimization and Control · Mathematics 2025-10-14 Nina M. Gottschling , David Iagaru , Jakob Gawlikowski , Ioannis Sgouralis

Denoising images contaminated by the mixture of additive white Gaussian noise (AWGN) and impulse noise (IN) is an essential but challenging problem. The presence of impulsive disturbances inevitably affects the distribution of noises and…

Image and Video Processing · Electrical Eng. & Systems 2020-08-28 Zhou Liu , Lei Yu , Gui-Song Xia , Hong Sun

We consider compressive imaging problems, where images are reconstructed from a reduced number of linear measurements. Our objective is to improve over existing compressive imaging algorithms in terms of both reconstruction error and…

Information Theory · Computer Science 2015-06-19 Jin Tan , Yanting Ma , Dror Baron

We propose a new space-variant regularization term for variational image restoration based on the assumption that the gradient magnitudes of the target image distribute locally according to a half-Generalized Gaussian distribution. This…

Image and Video Processing · Electrical Eng. & Systems 2019-06-27 Alessandro Lanza , Serena Morigi , Monica Pragliola , Fiorella Sgallari