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This review presents various image segmentation methods using complex networks. Image segmentation is one of the important steps in image analysis as it helps analyze and understand complex images. At first, it has been tried to classify…

Computer Vision and Pattern Recognition · Computer Science 2024-01-08 Amin Rezaei , Fatemeh Asadi

Complex networks have been widely used in science and technology because of their ability to represent several systems. One of these systems is found in Biochemistry, in which the synthesis of new nanoparticles is a hot topic. However, the…

This article discusses how concepts and methods of complex networks can be applied to real-time imaging and computer vision. After a brief introduction of complex networks basic concepts, their use as means to represent and characterize…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Luciano da Fontoura Costa

With the recent advances in complex networks theory, graph-based techniques for image segmentation has attracted great attention recently. In order to segment the image into meaningful connected components, this paper proposes an image…

Computer Vision and Pattern Recognition · Computer Science 2019-07-12 Youssef Mourchid , Mohammed El Hassouni , Hocine Cherifi

Latent Euclidean embedding models a given network by representing each node in a Euclidean space, where the probability of two nodes sharing an edge is a function of the distances between the nodes. This implies that for two nodes to share…

Social and Information Networks · Computer Science 2019-09-19 Clifford Anderson-Bergman , Phan Nguyen , Jose Cadena Pico

Edges of an image are considered a crucial type of information. These can be extracted by applying edge detectors with different methodology. Edge detection is a vital step in computer vision tasks, because it is an essential issue for…

Computer Vision and Pattern Recognition · Computer Science 2016-08-10 Osvaldo Pereira , Esley Torre , Yasel Garcés , Roberto Rodríguez

One important issue implied by the finite nature of real-world networks regards the identification of their more external (border) and internal nodes. The present work proposes a formal and objective definition of these properties, founded…

Physics and Society · Physics 2015-05-13 Bruno A. N. Travencolo , Matheus P. Viana , Luciano da F. Costa

What is the dimension of a network? Here, we view it as the smallest dimension of Euclidean space into which nodes can be embedded so that pairwise distances accurately reflect the connectivity structure. We show that a recently proposed…

Social and Information Networks · Computer Science 2023-06-27 Peter Grindrod , Desmond John Higham , Henry-Louis de Kergorlay

Classifying large scale networks into several categories and distinguishing them according to their fine structures is of great importance with several applications in real life. However, most studies of complex networks focus on properties…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Ruyue Xin , Jiang Zhang , Yitong Shao

This work describes how the formalization of complex network concepts in terms of discrete mathematics, especially mathematical morphology, allows a series of generalizations and important results ranging from new measurements of the…

Statistical Mechanics · Physics 2007-09-19 Luciano da Fontoura Costa , Luis Enrique C. da Rocha

The current article shows how concepts from the areas of random walks, Markov chains, complex networks and image analysis can be naturally combined in order to provide a unified and biologically plausible model relating saliency and visual…

Medical Physics · Physics 2007-07-04 Luciano da Fontoura Costa

The study of complex networks is a significant development in modern science, and has enriched the social sciences, biology, physics, and computer science. Models and algorithms for such networks are pervasive in our society, and impact…

Machine Learning · Computer Science 2022-06-08 C. Seshadhri , Aneesh Sharma , Andrew Stolman , Ashish Goel

The complexity of visual stimuli plays an important role in many cognitive phenomena, including attention, engagement, memorability, time perception and aesthetic evaluation. Despite its importance, complexity is poorly understood and…

Computer Vision and Pattern Recognition · Computer Science 2024-05-07 Tingke Shen , Surabhi S Nath , Aenne Brielmann , Peter Dayan

When network and graph theory are used in the study of complex systems, a typically finite set of nodes of the network under consideration is frequently either explicitly or implicitly considered representative of a much larger finite or…

Data Analysis, Statistics and Probability · Physics 2015-03-18 Jobst Heitzig , Jonathan F. Donges , Yong Zou , Norbert Marwan , Jürgen Kurths

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

The increasing interest in complex networks research has been a consequence of several intrinsic features of this area, such as the generality of the approach to represent and model virtually any discrete system, and the incorporation of…

In recent years, network embedding methods have garnered increasing attention because of their effectiveness in various information retrieval tasks. The goal is to learn low-dimensional representations of vertexes in an information network…

Social and Information Networks · Computer Science 2017-11-02 Chih-Ming Chen , Yi-Hsuan Yang , Yian Chen , Ming-Feng Tsai

Superpixel segmentation consists of partitioning images into regions composed of similar and connected pixels. Its methods have been widely used in many computer vision applications since it allows for reducing the workload, removing…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 I. B. Barcelos , F. de C. Belém , L. de M. João , Z. K. G. do Patrocínio , A. X. Falcão , S. J. F. Guimarães

Particle competition and cooperation (PCC) is a graph-based semi-supervised learning approach. When PCC is applied to interactive image segmentation tasks, pixels are converted into network nodes, and each node is connected to its k-nearest…

Computer Vision and Pattern Recognition · Computer Science 2020-02-17 Fabricio Breve

Graphs are a useful abstraction of image content. Not only can graphs represent details about individual objects in a scene but they can capture the interactions between pairs of objects. We present a method for training a convolutional…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Alejandro Newell , Jia Deng
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