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In this article, we consider a non-linear hyperbolic-parabolic coupled system based on telegraph diffusion framework applied to image despeckling. A separate equation is used to calculate the edge variable, which improves the quality of the…

偏微分方程分析 · 数学 2019-08-14 Sudeb Majee , Rajendra K. Ray , Ananta K. Majee

Conditional diffusion probabilistic models can model the distribution of natural images and can generate diverse and realistic samples based on given conditions. However, oftentimes their results can be unrealistic with observable color…

计算机视觉与模式识别 · 计算机科学 2022-12-15 Kangfu Mei , Nithin Gopalakrishnan Nair , Vishal M. Patel

Point Spread Function (PSF) for imaging through inhomogeneous refractive medium, such as atmospheric turbulence is bounded by three constraints [Charnotskii, Opt. Eng., 52, 04600, (2013)]. PSF is non-negative, band-limited, and the third…

光学 · 物理学 2022-07-06 Mikhail Charnotskii

We consider the reaction diffusion problem and present efficient ways to discretize and precondition in the singular perturbed case when the reaction term dominates the equation. Using the concepts of optimal test norm and saddle point…

数值分析 · 数学 2021-04-26 Constantin Bacuta , Daniel Hayes , Jacob Jacavage

Sparsifying transforms became in the last decades widely known tools for finding structured sparse representations of signals in certain transform domains. Despite the popularity of classical transforms such as DCT and Wavelet, learning…

数值分析 · 数学 2024-03-06 Andrei Pătraşcu , Cristian Rusu , Paul Irofti

Model-based material decomposition is a statisticaliterative reconstruction framework where basis material densityimages are estimated directly from spectral CT data. This methoduses a physical model for polyenergetic x-ray transmission…

医学物理 · 物理学 2020-10-06 Matthew Tivnan , Wenying Wang , J. Webster Stayman

Since LIC has made rapid progress recently compared to traditional methods, this paper attempts to discuss the question about 'Where is the boundary of Learned Image Compression(LIC)?'. Thus this paper splits the above problem into two…

图像与视频处理 · 电气工程与系统科学 2024-08-05 Jixiang Luo

Orthogonal Matching Pursuit and Basis Pursuit are popular reconstruction algorithms for recovery of sparse signals. The exact recovery property of both the methods has a relation with the coherence of the underlying redundant dictionary,…

最优化与控制 · 数学 2021-06-10 Pradip Sasmal , Prasad Theeda , Phanindra Jampana , C. S. Sastry

In the first part of this paper, we study RBSDEs in the case where the filtration is not quasi-left continuous and the lower obstacle is given by a predictable process. We prove the existence and uniqueness by using some results of optimal…

概率论 · 数学 2018-12-03 S. Bouhadou , Y. Ouknine

Accurate reconstruction and relighting of glossy objects remains a longstanding challenge, as object shape, material properties, and illumination are inherently difficult to disentangle. Existing neural rendering approaches often rely on…

图形学 · 计算机科学 2025-12-15 Georgios Kouros , Minye Wu , Tinne Tuytelaars

We present a novel BSSRDF for rendering translucent materials. Angular effects lacking in previous BSSRDF models are incorporated by using a dual-beam formulation. We employ a Placzek's Lemma interpretation of the method of images and…

图形学 · 计算机科学 2021-02-19 Eugene d'Eon

Estimating optical flows is one of the most interesting problems in computer vision, which estimates the essential information about pixel-wise displacements between two consecutive images. This work introduces an efficient dual…

最优化与控制 · 数学 2021-10-05 Hongpeng Sun , Xue-Cheng Tai , Jing Yuan

Deep neural networks are highly vulnerable to adversarial examples, which imposes severe security issues for these state-of-the-art models. Many defense methods have been proposed to mitigate this problem. However, a lot of them depend on…

计算机视觉与模式识别 · 计算机科学 2019-10-02 Nader Asadi , AmirMohammad Sarfi , Mehrdad Hosseinzadeh , Sahba Tahsini , Mahdi Eftekhari

We investigate the utility of meta-optical encoders for generalizable image compression by leveraging their intrinsic shift-invariant point spread functions (PSFs). Compared with purely digital approaches, such optical encoders offer…

光学 · 物理学 2026-02-23 Yubo Zhang , Rui Chen , Zhihao Zhou , Arka Majumdar

We show that a cylindrical lensing system composed of two metasurfaces with suitably tailored non-Hermitian (i.e., with distributed gain and loss) and nonlocal (i.e., spatially dispersive) properties can perform magnified imaging with…

In this second paper in a series dedicated to developing efficient numerical techniques for the deblurring Cosmic Microwave Background (CMB) maps, we consider the case of asymmetric point spread functions (PSF). Although conceptually this…

天体物理学 · 物理学 2009-11-10 R. Vio , J. G. Nagy , L. Tenorio , P. Andreani , C. Baccigalupi , W. Wamsteker

In a recent article the authors showed that the radiative Transfer equations with multiple frequencies and scattering can be formulated as a nonlinear integral system. In the present article, the formulation is extended to handle reflective…

数值分析 · 数学 2023-06-12 Olivier Pironneau , Pierre-Henri Tournier

While burst LR images are useful for improving the SR image quality compared with a single LR image, prior SR networks accepting the burst LR images are trained in a deterministic manner, which is known to produce a blurry SR image. In…

计算机视觉与模式识别 · 计算机科学 2024-04-09 Kyotaro Tokoro , Kazutoshi Akita , Norimichi Ukita

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

Since acquiring large amounts of realistic blurry-sharp image pairs is difficult and expensive, learning blind image deblurring from unpaired data is a more practical and promising solution. Unfortunately, dominant approaches rely heavily…

计算机视觉与模式识别 · 计算机科学 2025-07-21 Chengxu Liu , Lu Qi , Jinshan Pan , Xueming Qian , Ming-Hsuan Yang