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Natural images are often the superposition of various parts of different geometric characteristics. For instance, an image might be a mixture of cartoon and texture structures. In addition, images are often given with missing data. In this…

Functional Analysis · Mathematics 2021-07-08 Van Tiep Do , Ron Levie , Gitta Kutyniok

Deep neural networks trained to inpaint partially occluded images show a deep understanding of image composition and have even been shown to remove objects from images convincingly. In this work, we investigate how this implicit knowledge…

Computer Vision and Pattern Recognition · Computer Science 2020-03-03 Steffen Wolf , Fred A. Hamprecht , Jan Funke

Image foreground extraction is a classical problem in image processing and vision, with a large range of applications. In this dissertation, we focus on the extraction of text and graphics in mixed-content images, and design novel…

Computer Vision and Pattern Recognition · Computer Science 2018-04-10 Shervin Minaee

This work observed the problem of fingerprint image recognition in the case of missing pixels from the original image. The possibility of missing pixels recovery is tested by applying the Compressive Sensing approach. Namely, different…

Computer Vision and Pattern Recognition · Computer Science 2019-02-15 Dejan Brajovic , Kristina Tomovic , Jovan Radonjic

Inpainting-based compression represents images in terms of a sparse subset of its pixel data. Storing the carefully optimised positions of known data creates a lossless compression problem on sparse and often scattered binary images. This…

Image and Video Processing · Electrical Eng. & Systems 2021-08-03 Rahul Mohideen Kaja Mohideen , Pascal Peter , Joachim Weickert

This paper investigates the possibility of reconstruction of images considering that they are sparse in the DCT transformation domain. Two approaches are considered. One when the image is pre-processed in the DCT domain, using 8x8 blocks.…

Computer Vision and Pattern Recognition · Computer Science 2014-07-15 Isidora Stanković

Image inpainting technology can patch images with missing pixels. Existing methods propose convolutional neural networks to repair corrupted images. The networks focus on the valid pixels around the missing pixels, use the encoder-decoder…

Computer Vision and Pattern Recognition · Computer Science 2020-02-06 Zhenghang Wu , Yidong Cui

We propose a compressive sensing algorithm that exploits geometric properties of images to recover images of high quality from few measurements. The image reconstruction is done by iterating the two following steps: 1) estimation of normal…

Computer Vision and Pattern Recognition · Computer Science 2015-06-11 Virginia Estellers , Jean-Philippe Thiran , Xavier Bresson

Recently, great attention was intended toward overcomplete dictionaries and the sparse representations they can provide. In a wide variety of signal processing problems, sparsity serves a crucial property leading to high performance.…

Multimedia · Computer Science 2008-12-15 SeyyedMajid Valiollahzadeh , Mohammad Nazari , Massoud Babaie-Zadeh , Christian Jutten

Scientific and commercial data is often incomplete. Recovery of the missing information is an important pre-processing step in data analysis. Real-world data can in many cases be represented as a superposition of two or more different types…

Functional Analysis · Mathematics 2017-05-31 Emily J. King , James M. Murphy

We study image segmentation from an information-theoretic perspective, proposing a novel adversarial method that performs unsupervised segmentation by partitioning images into maximally independent sets. More specifically, we group image…

Computer Vision and Pattern Recognition · Computer Science 2021-06-30 Pedro Savarese , Sunnie S. Y. Kim , Michael Maire , Greg Shakhnarovich , David McAllester

Image data are often composed of two or more geometrically distinct constituents; in galaxy catalogs, for instance, one sees a mixture of pointlike structures (galaxy superclusters) and curvelike structures (filaments). It would be ideal to…

Functional Analysis · Mathematics 2010-04-20 David L. Donoho , Gitta Kutyniok

Some recent methods for lossy signal and image compression store only a few selected pixels and fill in the missing structures by inpainting with a partial differential equation (PDE). Suitable operators include the Laplacian, the…

Computer Vision and Pattern Recognition · Computer Science 2015-06-16 Laurent Hoeltgen , Markus Mainberger , Sebastian Hoffmann , Joachim Weickert , Ching Hoo Tang , Simon Setzer , Daniel Johannsen , Frank Neumann , Benjamin Doerr

Intrinsic image decomposition, which is an essential task in computer vision, aims to infer the reflectance and shading of the scene. It is challenging since it needs to separate one image into two components. To tackle this, conventional…

Computer Vision and Pattern Recognition · Computer Science 2020-05-28 Yunfei Liu , Yu Li , Shaodi You , Feng Lu

This paper addresses the problem of simultaneous signal recovery and dictionary learning based on compressive measurements. Multiple signals are analyzed jointly, with multiple sensing matrices, under the assumption that the unknown signals…

Information Theory · Computer Science 2015-03-19 Jorge Silva , Minhua Chen , Yonina C. Eldar , Guillermo Sapiro , Lawrence Carin

We present several domain decomposition algorithms for sequential and parallel minimization of functionals formed by a discrepancy term with respect to data and total variation constraints. The convergence properties of the algorithms are…

Numerical Analysis · Mathematics 2009-02-03 Massimo Fornasier , Andreas Langer , Carola-Bibiane Schönlieb

Inpainting-based image compression is a promising alternative to classical transform-based lossy codecs. Typically it stores a carefully selected subset of all pixel locations and their colour values. In the decoding phase the missing…

Image and Video Processing · Electrical Eng. & Systems 2023-05-16 Ferdinand Jost , Vassillen Chizhov , Joachim Weickert

Sparse decomposition has been widely used for different applications, such as source separation, image classification and image denoising. This paper presents a new algorithm for segmentation of an image into background and foreground text…

Computer Vision and Pattern Recognition · Computer Science 2016-12-22 Shervin Minaee , Yao Wang

Supervised training for real-world denoising presents challenges due to the difficulty of collecting large datasets of paired noisy and clean images. Recent methods have attempted to address this by utilizing unpaired datasets of clean and…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Hamadi Chihaoui , Paolo Favaro

Recently, compressed sensing techniques in combination with both wavelet and directional representation systems have been very effectively applied to the problem of image inpainting. However, a mathematical analysis of these techniques…

Functional Analysis · Mathematics 2012-11-29 Emily J. King , Gitta Kutyniok , Xiaosheng Zhuang
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