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In this work we provide a new technique to design fast approximation algorithms for graph problems where the points of the graph lie in a metric space. Specifically, we present a sampling approach for such metric graphs that, using a…

Data Structures and Algorithms · Computer Science 2018-07-26 Hossein Esfandiari , Michael Mitzenmacher

One popular strategy for image denoising is to design a generalized regularization term that is capable of exploring the implicit prior underlying data observation. Convolutional neural networks (CNN) have shown the powerful capability to…

Image and Video Processing · Electrical Eng. & Systems 2019-10-22 Peng Liu , Xiaoxiao Zhou , Junyiyang Li , El Basha Mohammad D , Ruogu Fang

Geodesic models are known as an efficient tool for solving various image segmentation problems. Most of existing approaches only exploit local pointwise image features to track geodesic paths for delineating the objective boundaries.…

Computer Vision and Pattern Recognition · Computer Science 2023-09-11 Li Liu , Da Chen , Minglei Shu , Laurent D. Cohen

Representing shapes as level sets of neural networks has been recently proved to be useful for different shape analysis and reconstruction tasks. So far, such representations were computed using either: (i) pre-computed implicit shape…

Machine Learning · Computer Science 2020-07-10 Amos Gropp , Lior Yariv , Niv Haim , Matan Atzmon , Yaron Lipman

We present a scale-invariant, template-based segmentation paradigm that sets up a graph and performs a graph cut to separate an object from the background. Typically graph-based schemes distribute the nodes of the graph uniformly and…

Computer Vision and Pattern Recognition · Computer Science 2012-05-31 Jan Egger , Bernd Freisleben , Christopher Nimsky , Tina Kapur

Energies with high-order non-submodular interactions have been shown to be very useful in vision due to their high modeling power. Optimization of such energies, however, is generally NP-hard. A naive approach that works for small problem…

Computer Vision and Pattern Recognition · Computer Science 2013-10-09 Carl Olsson , Johannes Ulen , Yuri Boykov , Vladimir Kolmogorov

Dose reduction in computed tomography (CT) is essential for decreasing radiation risk in clinical applications. Iterative reconstruction is one of the most promising ways to compensate for the increased noise due to reduction of photon…

Image and Video Processing · Electrical Eng. & Systems 2021-03-24 Zhuonan He , Yikun Zhang , Yu Guan , Shanzhou Niu , Yi Zhang , Yang Chen , Qiegen Liu

Graphs are a natural representation of data from various contexts, such as social connections, the web, road networks, and many more. In the last decades, many of these networks have become enormous, requiring efficient algorithms to cut…

Data Structures and Algorithms · Computer Science 2021-08-11 Alexander Noe

Joint image filters are used to transfer structural details from a guidance picture used as a prior to a target image, in tasks such as enhancing spatial resolution and suppressing noise. Previous methods based on convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Beomjun Kim , Jean Ponce , Bumsub Ham

This paper addresses the problem of document image dewarping, which aims at eliminating the geometric distortion in document images for document digitization. Instead of designing a better neural network to approximate the optical flow…

Image and Video Processing · Electrical Eng. & Systems 2022-04-06 Xiangwei Jiang , Rujiao Long , Nan Xue , Zhibo Yang , Cong Yao , Gui-Song Xia

Introducing explicit constraints on the structural predictions has been an effective way to improve the performance of semantic segmentation models. Existing methods are mainly based on insufficient hand-crafted rules that only partially…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Boxi Wu , Shuai Zhao , Wenqing Chu , Zheng Yang , Deng Cai

Graph Neural Networks (GNNs) have demonstrated significant achievements in processing graph data, yet scalability remains a substantial challenge. To address this, numerous graph coarsening methods have been developed. However, most…

Machine Learning · Computer Science 2024-12-19 Shuyin Xia , Xinjun Ma , Zhiyuan Liu , Cheng Liu , Sen Zhao , Guoyin Wang

Many segmentation tasks for biomedical images can be modeled as the minimization of an energy function and solved by a class of max-flow and min-cut optimization algorithms. However, the segmentation accuracy is sensitive to the contrasting…

Computer Vision and Pattern Recognition · Computer Science 2021-09-03 Yan Shen , Zhanghexuan Ji , Mingchen Gao

Graph-structured data arise in wide applications, such as computer vision, bioinformatics, and social networks. Quantifying similarities among graphs is a fundamental problem. In this paper, we develop a framework for computing graph…

Machine Learning · Statistics 2018-09-11 Zhen Zhang , Mianzhi Wang , Yijian Xiang , Yan Huang , Arye Nehorai

Image retargeting, which resizes images to one with a prescribed aspect ratio by determining an optimal warping map, has gained substantial interest in imaging science. Despite significant advances, existing methods often fail to ensure…

Numerical Analysis · Mathematics 2025-10-16 Chengyang Liu , Michael K. Ng

Probabilistic relaxations of graph cuts offer a differentiable alternative to spectral clustering, enabling end-to-end and online learning without eigendecompositions, yet prior work centered on RatioCut and lacked general guarantees and…

Machine Learning · Computer Science 2026-04-02 Ayoub Ghriss

Image segmentation has come a long way since the early days of computer vision, and still remains a challenging task. Modern variations of the classical (purely bottom-up) approach, involve, e.g., some form of user assistance (interactive…

Computer Vision and Pattern Recognition · Computer Science 2017-07-19 Eyasu Zemene , Leulseged Tesfaye Alemu , Marcello Pelillo

The same type of objects in different images may vary in their shapes because of rigid and non-rigid shape deformations, occluding foreground as well as cluttered background. The problem concerned in this work is the shape extraction in…

Computer Vision and Pattern Recognition · Computer Science 2014-12-30 Junyan Wang , Kap-Luk Chan

Image segmentation is a fundamental task in computer vision. Data annotation for training supervised methods can be labor-intensive, motivating unsupervised methods. Current approaches often rely on extracting deep features from pre-trained…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Amit Aflalo , Shai Bagon , Tamar Kashti , Yonina Eldar

The aim of this paper is to establish a nonlinear variational approach to the reconstruction of moving density images from indirect dynamic measurements. Our approach is to model the dynamics as a hyperelastic deformation of an initial…

Numerical Analysis · Mathematics 2015-12-01 Martin Burger , Jan Modersitzki , Sebastian Suhr