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Most image labeling problems such as segmentation and image reconstruction are fundamentally ill-posed and suffer from ambiguities and noise. Higher order image priors encode high level structural dependencies between pixels and are key to…

Computer Vision and Pattern Recognition · Computer Science 2011-09-08 Alexander Shekhovtsov , Pushmeet Kohli , Carsten Rother

The data consistency for the physical forward model is crucial in inverse problems, especially in MR imaging reconstruction. The standard way is to unroll an iterative algorithm into a neural network with a forward model embedded. The…

Image and Video Processing · Electrical Eng. & Systems 2023-06-28 Guanxiong Luo , Mengmeng Kuang , Peng Cao

Deep learning, particularly the generative model, has demonstrated tremendous potential to significantly speed up image reconstruction with reduced measurements recently. Rather than the existing generative models that often optimize the…

Image and Video Processing · Electrical Eng. & Systems 2021-02-02 Cong Quan , Jinjie Zhou , Yuanzheng Zhu , Yang Chen , Shanshan Wang , Dong Liang , Qiegen Liu

We introduce the Deep Spectral Prior (DSP), a new framework for unsupervised image reconstruction that operates entirely in the complex frequency domain. Unlike the Deep Image Prior (DIP), which optimises pixel-level errors and is highly…

Computer Vision and Pattern Recognition · Computer Science 2025-11-20 Yanqi Cheng , Xuxiang Zhao , Tieyong Zeng , Pietro Lio , Carola-Bibiane Schönlieb , Angelica I Aviles-Rivero

The high complexity of various inverse problems poses a significant challenge to model-based reconstruction schemes, which in such situations often reach their limits. At the same time, we witness an exceptional success of data-based…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 T. A. Bubba , G. Kutyniok , M. Lassas , M. März , W. Samek , S. Siltanen , V. Srinivasan

Image denoisers have been shown to be powerful priors for solving inverse problems in imaging. In this work, we introduce a generalization of these methods that allows any image restoration network to be used as an implicit prior. The…

Image and Video Processing · Electrical Eng. & Systems 2023-10-03 Yuyang Hu , Mauricio Delbracio , Peyman Milanfar , Ulugbek S. Kamilov

Compressive sensing is a method to recover the original image from undersampled measurements. In order to overcome the ill-posedness of this inverse problem, image priors are used such as sparsity in the wavelet domain, minimum…

Computer Vision and Pattern Recognition · Computer Science 2018-12-20 Magauiya Zhussip , Shakarim Soltanayev , Se Young Chun

Recovering high-resolution images from limited sensory data typically leads to a serious ill-posed inverse problem, demanding inversion algorithms that effectively capture the prior information. Learning a good inverse mapping from training…

Computer Vision and Pattern Recognition · Computer Science 2018-06-12 Morteza Mardani , Qingyun Sun , Shreyas Vasawanala , Vardan Papyan , Hatef Monajemi , John Pauly , David Donoho

Learning-based image super-resolution aims to reconstruct high-frequency (HF) details from the prior model trained by a set of high- and low-resolution image patches. In this paper, HF to be estimated is considered as a combination of two…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Jian Zhang , Chen Zhao , Ruiqin Xiong , Siwei Ma , Debin Zhao

Deep neural networks as image priors have been recently introduced for problems such as denoising, super-resolution and inpainting with promising performance gains over hand-crafted image priors such as sparsity and low-rank. Unlike learned…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Gauri Jagatap , Chinmay Hegde

We propose to leverage denoising autoencoder networks as priors to address image restoration problems. We build on the key observation that the output of an optimal denoising autoencoder is a local mean of the true data density, and the…

Computer Vision and Pattern Recognition · Computer Science 2017-03-30 Siavash Arjomand Bigdeli , Matthias Zwicker

Algorithms for Magnetic Resonance (MR) image reconstruction from undersampled measurements exploit prior information to compensate for missing k-space data. Deep learning (DL) provides a powerful framework for extracting such information…

Computer Vision and Pattern Recognition · Computer Science 2018-12-20 Kerem C. Tezcan , Christian F. Baumgartner , Roger Luechinger , Klaas P. Pruessmann , Ender Konukoglu

Image restoration problems are typically ill-posed requiring the design of suitable priors. These priors are typically hand-designed and are fully instantiated throughout the process. In this paper, we introduce a novel framework for…

Computer Vision and Pattern Recognition · Computer Science 2019-03-19 Raied Aljadaany , Dipan K. Pal , Marios Savvides

Bayesian inference for inverse problems hinges critically on the choice of priors. In the absence of specific prior information, population-level distributions can serve as effective priors for parameters of interest. With the advent of…

Instrumentation and Methods for Astrophysics · Physics 2025-02-11 Gabriel Missael Barco , Alexandre Adam , Connor Stone , Yashar Hezaveh , Laurence Perreault-Levasseur

In this paper, we propose a fully convolutional networks for iterative non-blind deconvolution We decompose the non-blind deconvolution problem into image denoising and image deconvolution. We train a FCNN to remove noises in the gradient…

Computer Vision and Pattern Recognition · Computer Science 2016-11-22 Jiawei Zhang , Jinshan Pan , Wei-Sheng Lai , Rynson Lau , Ming-Hsuan Yang

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

The recent emergence of diffusion models has significantly advanced the precision of learnable priors, presenting innovative avenues for addressing inverse problems. Since inverse problems inherently entail maximum a posteriori estimation,…

Machine Learning · Computer Science 2025-01-22 Jiawei Zhang , Jiaxin Zhuang , Cheng Jin , Gen Li , Yuantao Gu

Supervised learning with a convolutional neural network is recognized as a powerful means of image restoration. However, most such methods have been designed for application to grayscale and/or color images; therefore, they have limited…

Image and Video Processing · Electrical Eng. & Systems 2019-07-02 Ryuji Imamura , Tatsuki Itasaka , Masahiro Okuda

Image denoising is the process of removing noise from noisy images, which is an image domain transferring task, i.e., from a single or several noise level domains to a photo-realistic domain. In this paper, we propose an effective image…

Image and Video Processing · Electrical Eng. & Systems 2019-06-05 Xianxu Hou , Hongming Luo , Jingxin Liu , Bolei Xu , Ke Sun , Yuanhao Gong , Bozhi Liu , Guoping Qiu

Image reconstruction based on indirect, noisy, or incomplete data remains an important yet challenging task. While methods such as compressive sensing have demonstrated high-resolution image recovery in various settings, there remain issues…

Numerical Analysis · Mathematics 2023-03-07 Jan Glaubitz , Anne Gelb , Guohui Song