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Beamforming is an essential step in the ultrasound image formation pipeline and has recently attracted growing interest. An important goal of beamforming is to increase the image spatial resolution, or in other words to narrow down the…

Image and Video Processing · Electrical Eng. & Systems 2022-09-01 Sobhan Goudarzi , Adrian Basarab , Hassan Rivaz

We present a novel approach to denoising and inpainting problems for surface meshes. The purpose of these problems is to remove noise or fill in missing parts while preserving important features such as sharp edges. A discrete variant of…

Numerical Analysis · Mathematics 2025-02-03 Lukas Baumgärtner , Ronny Bergmann , Roland Herzog , Stephan Schmidt , José Vidal-Núñez , Manuel Weiß

Thresholding iterative methods are recently successfully applied to image deblurring problems. In this paper, we investigate the modified linearized Bregman algorithm (MLBA) used in image deblurring problems, with a proper treatment of the…

Numerical Analysis · Mathematics 2020-09-07 Yuantao Cai , Marco Donatelli , Davide Bianchi , Ting-Zhu Huang

This article details a general numerical framework to approximate so-lutions to linear programs related to optimal transport. The general idea is to introduce an entropic regularization of the initial linear program. This regularized…

Numerical Analysis · Mathematics 2014-12-17 Jean-David Benamou , Guillaume Carlier , Marco Cuturi , Luca Nenna , Gabriel Peyré

In this work we present a novel optimization strategy for image reconstruction tasks under analysis-based image regularization, which promotes sparse and/or low-rank solutions in some learned transform domain. We parameterize such…

Computer Vision and Pattern Recognition · Computer Science 2023-08-11 Iaroslav Koshelev , Stamatios Lefkimmiatis

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

The inherent ill-posed nature of image reconstruction problems, due to limitations in the physical acquisition process, is typically addressed by introducing a regularisation term that incorporates prior knowledge about the underlying…

Image and Video Processing · Electrical Eng. & Systems 2025-03-11 Naïl Khelifa , Ferdia Sherry , Carola-Bibiane Schönlieb

Time-of-flight neutron imaging offers complementary attenuation contrast to X-ray computed tomography (CT), coupled with the ability to extract additional information from the variation in attenuation as a function of neutron energy (time…

In this paper, the traditional model based variational method and learning based algorithms are naturally integrated to address mixed noise removal problem. To be different from single type noise (e.g. Gaussian) removal, it is a challenge…

Computer Vision and Pattern Recognition · Computer Science 2018-05-22 Faqiang Wang , Haiyang Huang , Jun Liu

Image rescaling is a commonly used bidirectional operation, which first downscales high-resolution images to fit various display screens or to be storage- and bandwidth-friendly, and afterward upscales the corresponding low-resolution…

Image and Video Processing · Electrical Eng. & Systems 2022-10-11 Mingqing Xiao , Shuxin Zheng , Chang Liu , Zhouchen Lin , Tie-Yan Liu

A novel approach is presented to recover an image degraded by atmospheric turbulence. Given a sequence of frames affected by turbulence, we construct a variational model to characterize the static image. The optimization problem is solved…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Yu Mao , Jerome Gilles

Aggregation equations are broadly used to model population dynamics with nonlocal interactions, characterized by a potential in the equation. This paper considers the inverse problem of identifying the potential from a single noisy…

Numerical Analysis · Mathematics 2022-10-12 Yuchen He , Sung Ha Kang , Wenjing Liao , Hao Liu , Yingjie Liu

The performance of image segmentation highly relies on the original inputting image. When the image is contaminated by some noises or blurs, we can not obtain the efficient segmentation result by using direct segmentation methods. In order…

Optimization and Control · Mathematics 2016-05-31 Baoli Shi , Zhi-Feng Pang , Jing Xu

A crucial problem in learning disentangled image representations is controlling the degree of disentanglement during image editing, while preserving the identity of objects. In this work, we propose a simple yet effective model with the…

Machine Learning · Computer Science 2019-12-30 Zengjie Song , Oluwasanmi Koyejo , Jiangshe Zhang

In this paper we address the problem of recovering a matrix, with inherent low rank structure, from its lower dimensional projections. This problem is frequently encountered in wide range of areas including pattern recognition, wireless…

Numerical Analysis · Computer Science 2013-12-25 Anupriya Gogna , Ankita Shukla , Angshul Majumdar

Regularisation is commonly used in iterative methods for solving imaging inverse problems. Many algorithms involve the evaluation of the proximal operator of the regularisation term in every iteration, leading to a significant computational…

Numerical Analysis · Mathematics 2024-11-04 Evangelos Papoutsellis , Zeljko Kereta , Kostas Papafitsoros

Image reconstruction of EIT mathematically is a typical nonlinear and severely ill-posed inverse problem. Appropriate priors or penalties are required to enable the reconstruction. The commonly used L2-norm can enforce the stability to…

Numerical Analysis · Mathematics 2018-03-13 Jing Wang , Bo Han , Wei Wang

We present an adaptive regularization scheme for optimizing composite energy functionals arising in image analysis problems. The scheme automatically trades off data fidelity and regularization depending on the current data fit during the…

Computer Vision and Pattern Recognition · Computer Science 2017-05-10 Byung-Woo Hong , Ja-Keoung Koo , Martin Burger , Stefano Soatto

Image segmentation is an important median level vision topic. Accurate and efficient multiphase segmentation for images with intensity inhomogeneity is still a great challenge. We present a new two-stage multiphase segmentation method…

Optimization and Control · Mathematics 2020-09-15 Xueyan Guo , Yunhua Xue , Chunlin Wu

Various problems in computer vision and medical imaging can be cast as inverse problems. A frequent method for solving inverse problems is the variational approach, which amounts to minimizing an energy composed of a data fidelity term and…

Computer Vision and Pattern Recognition · Computer Science 2020-06-17 Erich Kobler , Alexander Effland , Karl Kunisch , Thomas Pock
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