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Related papers: Next Generation Multicuts for Semi-Planar Graphs

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Multicuts enable to conveniently represent discrete graphical models for unsupervised and supervised image segmentation, in the case of local energy functions that exhibit symmetries. The basic Potts model and natural extensions thereof to…

Computer Vision and Pattern Recognition · Computer Science 2015-11-17 Joerg Hendrik Kappes , Markus Speth , Gerhard Reinelt , Christoph Schnoerr

In this paper, we propose and study a new semi-random model for graph partitioning problems. We believe that it captures many properties of real--world instances. The model is more flexible than the semi-random model of Feige and Kilian and…

Data Structures and Algorithms · Computer Science 2015-03-20 Konstantin Makarychev , Yury Makarychev , Aravindan Vijayaraghavan

We study the problem of hierarchical clustering on planar graphs. We formulate this in terms of an LP relaxation of ultrametric rounding. To solve this LP efficiently we introduce a dual cutting plane scheme that uses minimum cost perfect…

Data Structures and Algorithms · Computer Science 2015-09-11 Julian Yarkony , Charless C. Fowlkes

We propose a novel abstraction of the image segmentation task in the form of a combinatorial optimization problem that we call the multi-separator problem. Feasible solutions indicate for every pixel whether it belongs to a segment or a…

Computer Vision and Pattern Recognition · Computer Science 2023-07-11 Jannik Irmai , Shengxian Zhao , Jannik Presberger , Bjoern Andres

Spectral graph theory is well known and widely used in computer vision. In this paper, we analyze image segmentation algorithms that are based on spectral graph theory, e.g., normalized cut, and show that there is a natural connection…

Computer Vision and Pattern Recognition · Computer Science 2016-11-09 Chengxi Ye , Yuxu Lin , Mingli Song , Chun Chen , David W. Jacobs

Given an undirected, edge-weighted graph G together with pairs of vertices, called pairs of terminals, the minimum multicut problem asks for a minimum-weight set of edges such that, after deleting these edges, the two terminals of each pair…

Data Structures and Algorithms · Computer Science 2016-11-24 Éric Colin de Verdière

We give an improved branch-and-bound solver for the multiterminal cut problem, based on the recent work of Henzinger et al.. We contribute new, highly effective data reduction rules to transform the graph into a smaller equivalent instance.…

Data Structures and Algorithms · Computer Science 2020-04-27 Monika Henzinger , Alexander Noe , Christian Schulz

The throughput of electron microscopes has increased significantly in recent years, enabling detailed analysis of cell morphology and ultrastructure. Analysis of neural circuits at single-synapse resolution remains the flagship target of…

Computer Vision and Pattern Recognition · Computer Science 2019-08-07 Constantin Pape , Alex Matskevych , Adrian Wolny , Julian Hennies , Giula Mizzon , Marion Louveaux , Jacob Musser , Alexis Maizel , Detlev Arendt , Anna Kreshuk

Cell nuclei segmentation is one of the most important tasks in the analysis of biomedical images. With ever-growing sizes and amounts of three-dimensional images to be processed, there is a need for better and faster segmentation methods.…

Computer Vision and Pattern Recognition · Computer Science 2017-02-20 Julian Arz , Peter Sanders , Johannes Stegmaier , Ralf Mikut

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

We tackle the problem of graph partitioning for image segmentation using correlation clustering (CC), which we treat as an integer linear program (ILP). We reformulate optimization in the ILP so as to admit efficient optimization via…

Computer Vision and Pattern Recognition · Computer Science 2019-08-05 Margret Keuper , Jovita Lukasik , Maneesh Singh , Julian Yarkony

This paper proposes a novel algorithm for semisupervised learning. This algorithm learns graph cuts that maximize the margin with respect to the labels induced by the harmonic function solution. We motivate the approach, compare it to…

Machine Learning · Computer Science 2026-04-30 Branislav Kveton , Michal Valko , Ali Rahimi , Ling Huang

Piecewise constant image approximations of sequential number of segments or clusters of disconnected pixels are treated. The method of majorizing of optimal approximation sequence by hierarchical sequence of image approximations is…

Computer Vision and Pattern Recognition · Computer Science 2013-10-02 M. Kharinov

The multicut problem is an NP-hard combinatorial optimization problem with diverse applications in fields such as bioinformatics, data mining and computer vision. Graph neural networks have been defined for the multicut problem but can be…

Machine Learning · Computer Science 2026-05-14 Jannik Irmai , Lucas Fabian Naumann , Bjoern Andres

Image segmentation, the process of partitioning an image into meaningful regions, plays a pivotal role in computer vision and medical imaging applications. Unsupervised segmentation, particularly in the absence of labeled data, remains a…

Computer Vision and Pattern Recognition · Computer Science 2024-05-13 Kovvuri Sai Gopal Reddy , Bodduluri Saran , A. Mudit Adityaja , Saurabh J. Shigwan , Nitin Kumar

Interactive image segmentation is a topic of many studies in image processing. In a conventional approach, a user marks some pixels of the object(s) of interest and background, and an algorithm propagates these labels to the rest of the…

Computer Vision and Pattern Recognition · Computer Science 2019-01-10 Fabricio Aparecido Breve

Traditional supervised medical image segmentation models require large amounts of labeled data for training; however, obtaining such large-scale labeled datasets in the real world is extremely challenging. Recent semi-supervised…

Computer Vision and Pattern Recognition · Computer Science 2025-05-26 Yunyao Lu , Yihang Wu , Reem Kateb , Ahmad Chaddad

Visual segmentation seeks to partition images, video frames, or point clouds into multiple segments or groups. This technique has numerous real-world applications, such as autonomous driving, image editing, robot sensing, and medical…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Xiangtai Li , Henghui Ding , Haobo Yuan , Wenwei Zhang , Jiangmiao Pang , Guangliang Cheng , Kai Chen , Ziwei Liu , Chen Change Loy

In this paper we introduce a novel method for segmentation that can benefit from general semantics of Convolutional Neural Network (CNN). Our segmentation proposes visually and semantically coherent image segments. We use binary encoding of…

Computer Vision and Pattern Recognition · Computer Science 2016-11-22 Mahdyar Ravanbakhsh , Hossein Mousavi , Moin Nabi , Lucio Marcenaro , Carlo Regazzoni

We present a scalable approach for semi-supervised learning on graph-structured data that is based on an efficient variant of convolutional neural networks which operate directly on graphs. We motivate the choice of our convolutional…

Machine Learning · Computer Science 2017-02-23 Thomas N. Kipf , Max Welling
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