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The colorful appearance of a physical painting is determined by the distribution of paint pigments across the canvas, which we model as a per-pixel mixture of a small number of pigments with multispectral absorption and scattering…

Graphics · Computer Science 2018-07-23 Jianchao Tan , Stephen DiVerdi , Jingwan Lu , Yotam Gingold

Inpainting is the technique of reconstructing unknown or damaged portions of an image in a visually plausible way. Inpainting algorithm automatically fills the damaged region in an image using the information available in undamaged region.…

Computer Vision and Pattern Recognition · Computer Science 2012-09-14 S. Padmavathi , B. Priyalakshmi. Dr. K. P. Soman

In many applications sampled data are collected in irregular fashion or are partly lost or unavailable. In these cases it is required to convert irregularly sampled signals to regularly sampled ones or to restore missing data. In this…

This work addresses the recovery and demixing problem of signals that are sparse in some general dictionary. Involved applications include source separation, image inpainting, super-resolution, and restoration of signals corrupted by…

Information Theory · Computer Science 2017-03-24 Fei Wen , Lasith Adhikari , Ling Pei , Roummel F. Marcia , Peilin Liu , Robert C. Qiu

Image interpolation is a special case of image super-resolution, where the low-resolution image is directly down-sampled from its high-resolution counterpart without blurring and noise. Therefore, assumptions adopted in super-resolution…

Image and Video Processing · Electrical Eng. & Systems 2020-10-28 Junchao Zhang

Inpainting based image compression approaches, especially linear and non-linear diffusion models, are an active research topic for lossy image compression. The major challenge in these compression models is to find a small set of…

Computer Vision and Pattern Recognition · Computer Science 2014-05-12 Yunjin Chen , René Ranftl , Thomas Pock

Interpolation and internal painting are one of the basic approaches in image internal painting, which is used to eliminate undesirable parts that occur in digital images or to enhance faulty parts. This study was designed to compare the…

Computer Vision and Pattern Recognition · Computer Science 2021-02-15 Mustafa Zor , Erkan Bostanci , Mehmet Serdar Guzel , Erinc Karatas

In many image processing tasks it occurs that pixels or blocks of pixels are missing or lost in only some channels. For example during defective transmissions of RGB images, it may happen that one or more blocks in one color channel are…

Image and Video Processing · Electrical Eng. & Systems 2022-09-19 Frank Sippel , Jürgen Seiler , André Kaup

This paper is concerned with the inverse problem of reconstructing an inhomogeneous medium from the acoustic far-field data at a fixed frequency in two dimensions. This inverse problem is severely ill-posed (and also strongly nonlinear),…

Numerical Analysis · Mathematics 2023-09-21 Kai Li , Bo Zhang , Haiwen Zhang

The restoration of nonlinearly distorted audio signals, alongside the identification of the applied memoryless nonlinear operation, is studied. The paper focuses on the difficult but practically important case in which both the nonlinearity…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-13 Michal Švento , Eloi Moliner , Lauri Juvela , Alec Wright , Vesa Välimäki

Image restoration problems are typically ill-posed in the sense that each degraded image can be restored in infinitely many valid ways. To accommodate this, many works generate a diverse set of outputs by attempting to randomly sample from…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Noa Cohen , Hila Manor , Yuval Bahat , Tomer Michaeli

Image forensics, aiming to ensure the authenticity of the image, has made great progress in dealing with common image manipulation such as copy-move, splicing, and inpainting in the past decades. However, only a few researchers pay…

Computer Vision and Pattern Recognition · Computer Science 2022-04-26 Yushu Zhang , Nuo Chen , Shuren Qi , Mingfu Xue , Xiaochun Cao

We consider the inverse scattering problem for sparse scatterers. An image reconstruction algorithm is proposed that is based on a nonlinear generalization of iterative hard thresholding. The convergence and error of the method was analyzed…

Numerical Analysis · Mathematics 2019-03-27 Anna C. Gilbert , Howard W. Levinson , John C. Schotland

Reconstructing a complete object from its parts is a fundamental problem in many scientific domains. The purpose of this article is to provide a systematic survey on this topic. The reassembly problem requires understanding the attributes…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Jiaxin Lu , Yongqing Liang , Huijun Han , Jiacheng Hua , Junfeng Jiang , Xin Li , Qixing Huang

Signal recovery from nonlinear measurements involves solving an iterative optimization problem. In this paper, we present a framework to optimize the sensing parameters to improve the quality of the signal recovered by the given iterative…

Image and Video Processing · Electrical Eng. & Systems 2020-06-09 Zikui Cai , Rakib Hyder , M. Salman Asif

Nonlinear lens distortion rectification is a common first step in image processing applications where the assumption of a linear camera model is essential. For rectifying the lens distortion, forward distortion model needs to be known.…

Computer Vision and Pattern Recognition · Computer Science 2017-07-05 Burak Benligiray , Cihan Topal

Image restoration is a classic low-level problem aimed at recovering high-quality images from low-quality images with various degradations such as blur, noise, rain, haze, etc. However, due to the inherent complexity and non-uniqueness of…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Yuhong Zhang , Hengsheng Zhang , Xinning Chai , Zhengxue Cheng , Rong Xie , Li Song , Wenjun Zhang

We study the task of image inpainting, which is to fill in the missing region of an incomplete image with plausible contents. To this end, we propose a learning-based approach to generate visually coherent completion given a high-resolution…

Computer Vision and Pattern Recognition · Computer Science 2018-07-27 Yuhang Song , Chao Yang , Zhe Lin , Xiaofeng Liu , Qin Huang , Hao Li , C. -C. Jay Kuo

Diffusion models can be used as learned priors for solving various inverse problems. However, most existing approaches are restricted to linear inverse problems, limiting their applicability to more general cases. In this paper, we build…

Image and Video Processing · Electrical Eng. & Systems 2022-11-28 Bahjat Kawar , Jiaming Song , Stefano Ermon , Michael Elad

Image inpainting, the task of reconstructing missing segments in corrupted images using available data, faces challenges in ensuring consistency and fidelity, especially under information-scarce conditions. Traditional evaluation methods,…

Computer Vision and Pattern Recognition · Computer Science 2024-05-28 Tianyi Chen , Jianfu Zhang , Yan Hong , Yiyi Zhang , Liqing Zhang