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We consider the task of image decomposition and we introduce a new model coined directional global three-part decomposition (DG3PD) for solving it. As key ingredients of the DG3PD model, we introduce a discrete multi-directional total…

Computer Vision and Pattern Recognition · Computer Science 2016-04-08 Duy Hoang Thai , Carsten Gottschlich

Verifying an identity claim by fingerprint recognition is a commonplace experience for millions of people in their daily life, e.g. for unlocking a tablet computer or smartphone. The first processing step after fingerprint image acquisition…

Computer Vision and Pattern Recognition · Computer Science 2016-05-16 Duy Hoang Thai , Carsten Gottschlich

Image Inpainting is one of the very popular tasks in the field of image processing with broad applications in computer vision. In various practical applications, images are often deteriorated by noise due to the presence of corrupted, lost,…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Harsh Patel , Amey Kulkarni , Shivam Sahni , Udit Vyas

Cartoon-texture image decomposition is a critical preprocessing problem bottlenecked by the numerical intractability of classical variational or optimization models and the tedious manual tuning of global regularization parameters.We…

Numerical Analysis · Mathematics 2026-01-09 Alessandro Lanza , Serena Morigi , Youwei Wen , Li Yang

This paper is concerned with the analysis of convergent sequential and parallel overlapping domain decomposition methods for the minimization of functionals formed by a discrepancy term with respect to data and a total variation constraint.…

Numerical Analysis · Mathematics 2009-05-15 Massimo Fornasier , Andreas Langer , Carola-Bibiane Schönlieb

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

In this paper, we develop a dual alternating direction method of multipliers (ADMM) for an image decomposition model. In this model, an image is divided into two meaningful components, i.e., a cartoon part and a texture part. The…

Image and Video Processing · Electrical Eng. & Systems 2024-12-20 Qingsong Wang , Chengjing Wang , Peipei Tang , Dunbiao Niu

We address the problem of 3D inconsistency of image inpainting based on diffusion models. We propose a generative model using image pairs that belong to the same scene. To achieve the 3D-consistent and semantically coherent inpainting, we…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Leonid Antsfeld , Boris Chidlovskii

We consider sequential and parallel decomposition methods for a dual problem of a general total variation minimization problem with applications in several image processing tasks, like image inpainting, estimation of optical flow and…

Numerical Analysis · Mathematics 2022-11-02 Stephan Hilb , Andreas Langer

Decomposing an image through Fourier, DCT or wavelet transforms is still a common approach in digital image processing, in number of applications such as denoising. In this context, data-driven dictionaries and in particular exploiting the…

Image and Video Processing · Electrical Eng. & Systems 2021-09-01 Sayantan Dutta , Adrian Basarab , Bertrand Georgeot , Denis Kouamé

This paper concerns with nonuniform sampling and interpolation methods combined with variational models for the solution of a generalized image inpainting problem and the restoration of digital signals. In particular, we discuss the problem…

Numerical Analysis · Mathematics 2007-05-23 Massimo Fornasier

This article describes a fast iterative algorithm for image denoising and deconvolution with signal-dependent observation noise. We use an optimization strategy based on variable splitting that adapts traditional Gaussian noise-based…

Computer Vision and Pattern Recognition · Computer Science 2012-04-16 Ayan Chakrabarti , Todd Zickler

In this paper, we propose a novel image denoising algorithm exploiting features from both spatial as well as transformed domain. We implement intensity-invariance based improved grouping for collaborative support-agnostic sparse…

Computer Vision and Pattern Recognition · Computer Science 2018-05-03 Muzammil Behzad

Most of the classical denoising methods restore clear results by selecting and averaging pixels in the noisy input. Instead of relying on hand-crafted selecting and averaging strategies, we propose to explicitly learn this process with deep…

Computer Vision and Pattern Recognition · Computer Science 2019-04-16 Xiangyu Xu , Muchen Li , Wenxiu Sun

Image denoising is a classical problem in low level computer vision. Model-based optimization methods and deep learning approaches have been the two main strategies for solving the problem. Model-based optimization methods are flexible for…

Computer Vision and Pattern Recognition · Computer Science 2018-12-31 Chang Liu , Zhaowei Shang , Anyong Qin

In recent years, the field of image inpainting has developed rapidly, learning based approaches show impressive results in the task of filling missing parts in an image. But most deep methods are strongly tied to the resolution of the…

Image and Video Processing · Electrical Eng. & Systems 2021-04-29 Andrey Moskalenko , Mikhail Erofeev , Dmitriy Vatolin

Image decomposition is a crucial subject in the field of image processing. It can extract salient features from the source image. We propose a new image decomposition method based on convolutional neural network. This method can be applied…

Computer Vision and Pattern Recognition · Computer Science 2022-08-04 Yu Fu , Xiao-Jun Wu , Josef Kittler

In this paper, we present a novel image inpainting technique using frequency domain information. Prior works on image inpainting predict the missing pixels by training neural networks using only the spatial domain information. However,…

Computer Vision and Pattern Recognition · Computer Science 2021-07-14 Hiya Roy , Subhajit Chaudhury , Toshihiko Yamasaki , Tatsuaki Hashimoto

Dual-energy computed tomography (DECT) has shown great potential and promising applications in advanced imaging fields for its capabilities of material decomposition. However, image reconstructions and decompositions under sparse views…

Medical Physics · Physics 2016-08-01 Lei Li , Ailong Cai , Linyuan Wang , Bin Yan , Hanming Zhang , Zhizhong Zheng , Wenkun Zhang , Wanli Lu , Guoen Hu

In recent years inpainting-based compression methods have been shown to be a viable alternative to classical codecs such as JPEG and JPEG2000. Unlike transform-based codecs, which store coefficients in the transform domain, inpainting-based…

Image and Video Processing · Electrical Eng. & Systems 2024-01-15 Niklas Kämper , Vassillen Chizhov , Joachim Weickert
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