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In this paper we focus on learning optimized partial differential equation (PDE) models for image filtering. In this approach, the grey-scaled images are represented by a vector field of two real-valued functions and the image restoration…

数值分析 · 数学 2019-07-12 Sílvia Barbeiro , Diogo Lobo

Reconstruction of images corrupted by noise is an important problem in Image Analysis. In the standard Bayesian approach the unknown original image is assumed to be a realization of a Markov random field on a finite two dimensional finite…

统计理论 · 数学 2007-07-02 Pablo A. Ferrari , Marco D. Gubitoso , E. Jordao Neves

We address the denoising of images contaminated with multiplicative noise, e.g. speckle noise. Classical ways to solve such problems are filtering, statistical (Bayesian) methods, variational methods, and methods that convert the…

最优化与控制 · 数学 2008-12-10 Sylvain Durand , Jalal Fadili , Mila Nikolova

One of the key approximations to range simulation is downscaling the image, dictated by the natural trigonometric relationships that arise due to long-distance viewing. It is well-known that standard downsampling applied to an image without…

信号处理 · 电气工程与系统科学 2025-05-12 Suayb S. Arslan , Lukas Vogelsang , Michal Fux , Pawan Sinha

A learning-based framework for representation of domain-specific images is proposed where joint compression and denoising can be done using a VQ-based multi-layer network. While it learns to compress the images from a training set, the…

计算机视觉与模式识别 · 计算机科学 2017-07-10 Sohrab Ferdowsi , Slava Voloshynovskiy , Dimche Kostadinov

Processing of digital images is continuously gaining in volume and relevance, with concomitant demands on data storage, transmission and processing power. Encoding the image information in quantum-mechanical systems instead of classical…

Quanta Image Sensor (QIS) is a binary imaging device envisioned to be the next generation image sensor after CCD and CMOS. Equipped with a massive number of single photon detectors, the sensor has a threshold $q$ above which the number of…

计算机视觉与模式识别 · 计算机科学 2019-03-22 Omar A. Elgendy , Stanley H. Chan

Cameras capture sensor RAW images and transform them into pleasant RGB images, suitable for the human eyes, using their integrated Image Signal Processor (ISP). Numerous low-level vision tasks operate in the RAW domain (e.g. image…

When capturing and storing images, devices inevitably introduce noise. Reducing this noise is a critical task called image denoising. Deep learning has become the de facto method for image denoising, especially with the emergence of…

计算机视觉与模式识别 · 计算机科学 2023-03-24 Haoyu Chen , Jinjin Gu , Yihao Liu , Salma Abdel Magid , Chao Dong , Qiong Wang , Hanspeter Pfister , Lei Zhu

In the field of quantitative imaging, the image information at a pixel or voxel in an underlying domain entails crucial information about the imaged matter. This is particularly important in medical imaging applications, such as…

Image de-blurring is important in many cases of imaging a real scene or object by a camera. This project focuses on de-blurring an image distorted by an out-of-focus blur through a simulation study. A pseudo-inverse filter is first explored…

计算机视觉与模式识别 · 计算机科学 2017-11-03 Yuzhen Lu

Modeling statistics of image priors is useful for image super-resolution, but little attention has been paid from the massive works of deep learning-based methods. In this work, we propose a Bayesian image restoration framework, where…

图像与视频处理 · 电气工程与系统科学 2022-04-05 Shangqi Gao , Xiahai Zhuang

Image restoration has been an extensively researched topic in numerous fields. With the advent of deep learning, a lot of the current algorithms were replaced by algorithms that are more flexible and robust. Deep networks have demonstrated…

计算机视觉与模式识别 · 计算机科学 2019-04-30 Rohit Jena

Natural images tend to mostly consist of smooth regions with individual pixels having highly correlated spectra. This information can be exploited to recover hyperspectral images of natural scenes from their incomplete and noisy…

计算机视觉与模式识别 · 计算机科学 2016-11-03 Reza Arablouei , Frank de Hoog

The bilateral filter is a useful nonlinear filter which without smoothing edges, it does spatial averaging. In the literature, the effectiveness of this method for image denoising is shown. In this paper, an extension of this method is…

计算机视觉与模式识别 · 计算机科学 2017-02-07 Seyede Mahya Hazavei , Hamid Reza Shahdoosti

Reconstructing cosmological initial conditions (ICs) from late-time observations is a difficult task, which relies on the use of computationally expensive simulators alongside sophisticated statistical methods to navigate multi-million…

宇宙学与河外天体物理 · 物理学 2024-10-22 Oleg Savchenko , Florian List , Guillermo Franco Abellán , Noemi Anau Montel , Christoph Weniger

Synthetic aperture sonar (SAS) image resolution is constrained by waveform bandwidth and array geometry. Specifically, the waveform bandwidth determines a point spread function (PSF) that blurs the locations of point scatterers in the…

计算机视觉与模式识别 · 计算机科学 2021-12-17 Albert Reed , Thomas Blanford , Daniel C. Brown , Suren Jayasuriya

Quantum Image Processing (QIP)is an exciting new field showing a lot of promise as a powerful addition to the arsenal of Image Processing techniques. Representing image pixel by pixel using classical information requires an enormous amount…

计算机视觉与模式识别 · 计算机科学 2019-02-13 Aditya Dendukuri , Khoa Luu

A general quantum channel consisting of a decohering and a filtering element carries one qubit of an entangled photon pair. As we apply a local filter to the other qubit, some mutual quantum information between the two qubits is restored…

Multiple approaches to use deep learning for image restoration have recently been proposed. Training such approaches requires well registered pairs of high and low quality images. While this is easily achievable for many imaging modalities,…

计算机视觉与模式识别 · 计算机科学 2024-10-30 Tim-Oliver Buchholz , Mareike Jordan , Gaia Pigino , Florian Jug