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Deep neural networks have been successfully applied to problems such as image segmentation, image super-resolution, coloration and image inpainting. In this work we propose the use of convolutional neural networks (CNN) for image inpainting…

Computer Vision and Pattern Recognition · Computer Science 2018-02-13 Pascal Laube , Michael Grunwald , Matthias O. Franz , Georg Umlauf

Image inpainting is a restoration process which has numerous applications. Restoring of scanned old images with scratches, or removing objects in images are some of inpainting applications. Different approaches have been used for…

Image and Video Processing · Electrical Eng. & Systems 2018-01-03 Mehran Motmaen , Majid Mohrekesh , Mojtaba Akbari , Nader Karimi , Shadrokh Samavi

A pivotal step in image super-resolution techniques is interpolation, which aims at generating high resolution images without introducing artifacts such as blurring and ringing. In this paper, we propose a technique that performs…

Image and Video Processing · Electrical Eng. & Systems 2020-03-23 Sobhan Kanti Dhara , Debashis Sen

Effective learning of asymmetric and local features in images and other data observed on multi-dimensional grids is a challenging objective critical for a wide range of image processing applications involving biomedical and natural images.…

Methodology · Statistics 2022-10-06 Meng Li , Li Ma

Digital image inpainting is an interpolation problem, inferring the content in the missing (unknown) region to agree with the known region data such that the interpolated result fulfills some prior knowledge. Low-rank and nonlocal…

Computer Vision and Pattern Recognition · Computer Science 2023-03-23 Shenghai Liao , Xuya Liu , Ruyi Han , Shujun Fu , Yuanfeng Zhou , Yuliang Li

Mathematical methods of image inpainting involve the discretization of given continuous models. We present a method that avoids the standard pointwise discretization by modeling known variational approaches, in particular total variation…

Numerical Analysis · Mathematics 2017-05-24 Florian Boßmann , Tomas Sauer , Nada Sissouno

An algorithm is proposed for the segmentation of image into multiple levels using mean and standard deviation in the wavelet domain. The procedure provides for variable size segmentation with bigger block size around the mean, and having…

Most convolutional network (CNN)-based inpainting methods adopt standard convolution to indistinguishably treat valid pixels and holes, making them limited in handling irregular holes and more likely to generate inpainting results with…

Computer Vision and Pattern Recognition · Computer Science 2019-09-06 Chaohao Xie , Shaohui Liu , Chao Li , Ming-Ming Cheng , Wangmeng Zuo , Xiao Liu , Shilei Wen , Errui Ding

Model-based methods are widely used for reconstruction in compressed sensing (CS) magnetic resonance imaging (MRI), using regularizers to describe the images of interest. The reconstruction process is equivalent to solving a composite…

Optimization and Control · Mathematics 2024-02-27 Tao Hong , Luis Hernandez-Garcia , Jeffrey A. Fessler

Quantitative phase imaging (QPI) has been widely applied in characterizing cells and tissues. Spatial light interference microscopy (SLIM) is a highly sensitive QPI method, due to its partially coherent illumination and common path…

Image and Video Processing · Electrical Eng. & Systems 2024-06-12 Yuheng Jiao , Yuchen R. He , Mikhail E. Kandel , Xiaojun Liu , Wenlong Lu , Gabriel Popescu

Image zooming or upsampling is a widely used tool in image processing and an essential step in many algorithms. Upsampling increases the number of pixels and introduces new information into the image, which can lead to numerical effects…

Numerical Analysis · Mathematics 2023-12-04 Bojan Crnković , Jerko Škifić , Tina Bosner

The use of quaternions as a novel tool for color image representation has yielded impressive results in color image processing. By considering the color image as a unified entity rather than separate color space components, quaternions can…

Image and Video Processing · Electrical Eng. & Systems 2023-05-02 Jifei Miao , Kit Ian Kou , Liqiao Yang , Juan Han

Segmentation, a useful/powerful technique in pattern recognition, is the process of identifying object outlines within images. There are a number of efficient algorithms for segmentation in Euclidean space that depend on the variational…

Computer Vision and Pattern Recognition · Computer Science 2019-11-12 Xiaohao Cai , Christopher G. R. Wallis , Jennifer Y. H. Chan , Jason D. McEwen

Polynomial and spline quasi-interpolants (QIs) are practical and effective approximation operators. Among their remarkable properties, let us cite for example: good shape properties, easy computation and evaluation (no linear system to…

Numerical Analysis · Mathematics 2025-10-20 Paul Sablonniere

In this paper we study a class of fast geometric image inpainting methods based on the idea of filling the inpainting domain in successive shells from its boundary inwards. Image pixels are filled by assigning them a color equal to a…

Numerical Analysis · Mathematics 2017-08-01 L. Robert Hocking , Thomas Holding , Carola-Bibiane Schoenlieb

In this work, we propose a deep learning-based imaging method for addressing the multi-frequency electromagnetic (EM) inverse scattering problem (ISP). By combining deep learning technology with EM physical laws, we have successfully…

Computational Physics · Physics 2025-09-23 Daoqi Liu , Tao Shan , Maokun Li , Fan Yang , Shenheng Xu

Quantitative phase imaging (QPI) is a label-free computational imaging technique used in various fields, including biology and medical research. Modern QPI systems typically rely on digital processing using iterative algorithms for phase…

Optics · Physics 2023-06-28 Yuhang Li , Yi Luo , Deniz Mengu , Bijie Bai , Aydogan Ozcan

Spline functions are smooth piecewise polynomials widely used for interpolation and smoothing, and nonnegative spline smoothing is also studied for nonnegative data. Previous research used sufficient conditions for the nonnegativity of…

Optimization and Control · Mathematics 2026-05-06 Hiroki Arai , Daichi Kitahara

Hyperspectral image (HSI) classification presents significant challenges due to the high dimensionality, spectral redundancy, and limited labeled data typically available in real-world applications. To address these issues and optimize…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Vita V. Vlasova , Vladimir G. Kuzmin , Maria S. Varetsa , Natalia A. Ibragimova , Oleg Y. Rogov , Elena V. Lyapuntsova

Image outpainting aims to generate the content of an input sub-image beyond its original boundaries. It is an important task in content generation yet remains an open problem for generative models. This paper pushes the technical frontier…

Computer Vision and Pattern Recognition · Computer Science 2024-01-30 Shaofeng Zhang , Jinfa Huang , Qiang Zhou , Zhibin Wang , Fan Wang , Jiebo Luo , Junchi Yan