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Deep neural networks have been applied successfully to a wide variety of inverse problems arising in computational imaging. These networks are typically trained using a forward model that describes the measurement process to be inverted,…

图像与视频处理 · 电气工程与系统科学 2021-04-14 Davis Gilton , Gregory Ongie , Rebecca Willett

Plug-and-play (PnP) methods are widely used for solving imaging inverse problems by incorporating a denoiser into optimization algorithms. Score-based diffusion models (SBDMs) have recently demonstrated strong generative performance through…

计算机视觉与模式识别 · 计算机科学 2026-04-07 Chicago Y. Park , Edward P. Chandler , Yuyang Hu , Michael T. McCann , Cristina Garcia-Cardona , Brendt Wohlberg , Ulugbek S. Kamilov

The utilisation of Plug-and-Play (PnP) priors in inverse problems has become increasingly prominent in recent years. This preference is based on the mathematical equivalence between the general proximal operator and the regularised…

计算机视觉与模式识别 · 计算机科学 2024-11-12 Yanqi Cheng , Lipei Zhang , Zhenda Shen , Shujun Wang , Lequan Yu , Raymond H. Chan , Carola-Bibiane Schönlieb , Angelica I Aviles-Rivero

Advanced machine learning methods, and more prominently neural networks, have become standard to solve inverse problems over the last years. However, the theoretical recovery guarantees of such methods are still scarce and difficult to…

机器学习 · 计算机科学 2024-03-11 Nathan Buskulic , Jalal Fadili , Yvain Quéau

This paper proposes using a Gaussian mixture model as a prior, for solving two image inverse problems, namely image deblurring and compressive imaging. We capitalize on the fact that variable splitting algorithms, like ADMM, are able to…

计算机视觉与模式识别 · 计算机科学 2016-05-24 Afonso M. Teodoro , José M. Bioucas-Dias , Mário A. T. Figueiredo

Learning a generalized prior for natural image restoration is an important yet challenging task. Early methods mostly involved handcrafted priors including normalized sparsity, l_0 gradients, dark channel priors, etc. Recently, deep neural…

计算机视觉与模式识别 · 计算机科学 2022-08-08 Lin Liu , Lingxi Xie , Xiaopeng Zhang , Shanxin Yuan , Xiangyu Chen , Wengang Zhou , Houqiang Li , Qi Tian

Many interesting tasks in image restoration can be cast as linear inverse problems. A recent family of approaches for solving these problems uses stochastic algorithms that sample from the posterior distribution of natural images given the…

图像与视频处理 · 电气工程与系统科学 2022-10-14 Bahjat Kawar , Michael Elad , Stefano Ermon , Jiaming Song

Many application domains, spanning from computational photography to medical imaging, require recovery of high-fidelity images from noisy, incomplete or partial/compressed measurements. State of the art methods for solving these inverse…

图像与视频处理 · 电气工程与系统科学 2022-07-13 Xinyi Wei , Hans van Gorp , Lizeth Gonzalez Carabarin , Daniel Freedman , Yonina C. Eldar , Ruud J. G. van Sloun

For solving linear inverse problems, particularly of the type that appears in tomographic imaging and compressive sensing, this paper develops two new approaches. The first approach is an iterative algorithm that minimizes a regularized…

信号处理 · 电气工程与系统科学 2023-11-30 Carter Lyons , Raghu G. Raj , Margaret Cheney

Deep learning algorithms have demonstrated state-of-the-art performance in various tasks of image restoration. This was made possible through the ability of CNNs to learn from large exemplar sets. However, the latter becomes an issue for…

计算机视觉与模式识别 · 计算机科学 2019-12-05 Oleksii Sidorov , Jon Yngve Hardeberg

Current spatiotemporal deep learning approaches to Magnetic Resonance Fingerprinting (MRF) build artefact-removal models customised to a particular k-space subsampling pattern which is used for fast (compressed) acquisition. This may not be…

图像与视频处理 · 电气工程与系统科学 2022-02-14 Ketan Fatania , Carolin M. Pirkl , Marion I. Menzel , Peter Hall , Mohammad Golbabaee

Denoiser models have become powerful tools for inverse problems, enabling the use of pretrained networks to approximate the score of a smoothed prior distribution. These models are often used in heuristic iterative schemes aimed at solving…

机器学习 · 计算机科学 2025-11-20 Scott Pesme , Giacomo Meanti , Michael Arbel , Julien Mairal

The importance of regularization has been well established in image reconstruction -- which is the computational inversion of imaging forward model -- with applications including deconvolution for microscopy, tomographic reconstruction,…

图像与视频处理 · 电气工程与系统科学 2021-06-29 Sanjay Viswanath , Manu Ghulyani , Muthuvel Arigovindan

This paper addresses mesh restoration problems, i.e., denoising and completion, by learning self-similarity in an unsupervised manner. For this purpose, the proposed method, which we refer to as Deep Mesh Prior, uses a graph convolutional…

计算机视觉与模式识别 · 计算机科学 2021-11-03 Shota Hattori , Tatsuya Yatagawa , Yutaka Ohtake , Hiromasa Suzuki

State-of-the-art approaches toward image restoration can be classified into model-based and learning-based. The former - best represented by sparse coding techniques - strive to exploit intrinsic prior knowledge about the unknown…

图像与视频处理 · 电气工程与系统科学 2018-11-29 Fangfang Wu , Weisheng Dong , Guangming Shi , Xin Li

Image restoration and enhancement is a process of improving the image quality by removing degradations, such as noise, blur, and resolution degradation. Deep learning (DL) has recently been applied to image restoration and enhancement. Due…

计算机视觉与模式识别 · 计算机科学 2023-07-27 Yunfan Lu , Yiqi Lin , Hao Wu , Yunhao Luo , Xu Zheng , Hui Xiong , Lin Wang

In recent years, Graph Neural Networks (GNNs) have been utilized for various applications ranging from drug discovery to network design and social networks. In many applications, it is impossible to observe some properties of the graph…

机器学习 · 计算机科学 2025-03-12 Moshe Eliasof , Md Shahriar Rahim Siddiqui , Carola-Bibiane Schönlieb , Eldad Haber

The present paper studies so-called deep image prior (DIP) techniques in the context of ill-posed inverse problems. DIP networks have been recently introduced for applications in image processing; also first experimental results for…

机器学习 · 计算机科学 2020-03-19 Sören Dittmer , Tobias Kluth , Peter Maass , Daniel Otero Baguer

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…

计算机视觉与模式识别 · 计算机科学 2019-03-19 Raied Aljadaany , Dipan K. Pal , Marios Savvides

We extend the Deep Image Prior (DIP) framework to one-dimensional signals. DIP is using a randomly initialized convolutional neural network (CNN) to solve linear inverse problems by optimizing over weights to fit the observed measurements.…

机器学习 · 计算机科学 2019-04-19 Sriram Ravula , Alexandros G. Dimakis