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Hierarchical image segmentation provides region-oriented scalespace, i.e., a set of image segmentations at different detail levels in which the segmentations at finer levels are nested with respect to those at coarser levels. Most image…

Computer Vision and Pattern Recognition · Computer Science 2012-06-14 Silvio Jamil F. Guimarães , Jean Cousty , Yukiko Kenmochi , Laurent Najman

The efficacy of segmentation algorithms is frequently compromised by topological errors like overlapping regions, disrupted connections, and voids. To tackle this problem, we introduce a novel loss function, namely Topology-Aware Focal Loss…

Image and Video Processing · Electrical Eng. & Systems 2023-04-28 Andac Demir , Elie Massaad , Bulent Kiziltan

Graphs are a basic tool for the representation of modern data. The richness of the topological information contained in a graph goes far beyond its mere interpretation as a one-dimensional simplicial complex. We show how topological…

Combinatorics · Mathematics 2018-10-11 Mattia G. Bergomi , Massimo Ferri , Lorenzo Zuffi

We propose a new approach, named PolyMapper, to circumvent the conventional pixel-wise segmentation of (aerial) images and predict objects in a vector representation directly. PolyMapper directly extracts the topological map of a city from…

Computer Vision and Pattern Recognition · Computer Science 2019-12-02 Zuoyue Li , Jan Dirk Wegner , Aurélien Lucchi

While conventional computer vision emphasizes pixel-level and feature-based objectives, medical image analysis of intricate biological structures necessitates explicit representation of their complex topological properties. Despite their…

Image and Video Processing · Electrical Eng. & Systems 2024-12-31 Yousef Yeganeh , Rui Xiao , Goktug Guvercin , Nassir Navab , Azade Farshad

Learning a graph topology to reveal the underlying relationship between data entities plays an important role in various machine learning and data analysis tasks. Under the assumption that structured data vary smoothly over a graph, the…

Machine Learning · Statistics 2023-08-23 Xingyue Pu , Tianyue Cao , Xiaoyun Zhang , Xiaowen Dong , Siheng Chen

This paper proposes a novel algorithm for the problem of structural image segmentation through an interactive model-based approach. Interaction is expressed in the model creation, which is done according to user traces drawn over a given…

Computer Vision and Pattern Recognition · Computer Science 2008-05-16 Alexandre Noma , Ana B. V. Graciano , Luis Augusto Consularo , Roberto M. Cesar-Jr , Isabelle Bloch

This paper presents the first approach to visualize the importance of topological features that define classes of data. Topological features, with their ability to abstract the fundamental structure of complex data, are an integral…

Machine Learning · Computer Science 2023-09-26 Yu Qin , Brittany Terese Fasy , Carola Wenk , Brian Summa

Network topology inference is a cornerstone problem in statistical analyses of complex systems. In this context, the fresh look advocated here permeates benefits from convex optimization and graph signal processing, to identify the…

Social and Information Networks · Computer Science 2016-04-12 Santiago Segarra , Antonio G. Marques , Gonzalo Mateos , Alejandro Ribeiro

Accurate and reliable image segmentation is an essential part of biomedical image analysis. In this paper, we consider the problem of biomedical image segmentation using deep convolutional neural networks. We propose a new end-to-end…

Computer Vision and Pattern Recognition · Computer Science 2018-10-02 Amirhossein Dadashzadeh , Alireza Tavakoli Targhi

Link prediction is an important learning task for graph-structured data. In this paper, we propose a novel topological approach to characterize interactions between two nodes. Our topological feature, based on the extended persistent…

Machine Learning · Computer Science 2021-06-15 Zuoyu Yan , Tengfei Ma , Liangcai Gao , Zhi Tang , Chao Chen

With the remarkable success of representation learning for prediction problems, we have witnessed a rapid expansion of the use of machine learning and deep learning for the analysis of digital pathology and biopsy image patches. However,…

Machine Learning · Computer Science 2024-03-06 David Ahmedt-Aristizabal , Mohammad Ali Armin , Simon Denman , Clinton Fookes , Lars Petersson

Semantic segmentation aims to robustly predict coherent class labels for entire regions of an image. It is a scene understanding task that powers real-world applications (e.g., autonomous navigation). One important application, the use of…

Computer Vision and Pattern Recognition · Computer Science 2023-02-16 Yuxiang Zhang , Sachin Mehta , Anat Caspi

Over the past few decades, a significant rise of camera-based applications for traffic monitoring has occurred. Governments and local administrations are increasingly relying on the data collected from these cameras to enhance road safety…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Giacomo D'Amicantonio , Egor Bondarev , Peter H. N. De With

Reconstructing 3D objects from 2D images is both challenging for our brains and machine learning algorithms. To support this spatial reasoning task, contextual information about the overall shape of an object is critical. However, such…

Computer Vision and Pattern Recognition · Computer Science 2022-09-19 Dominik J. E. Waibel , Scott Atwell , Matthias Meier , Carsten Marr , Bastian Rieck

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

This paper presents a new probabilistic generative model for image segmentation, i.e. the task of partitioning an image into homogeneous regions. Our model is grounded on a mid-level image representation, called a region tree, in which…

Machine Learning · Statistics 2015-06-15 Shell X. Hu , Christopher K. I. Williams , Sinisa Todorovic

We study finite-sum nonlinear programs with localized variable coupling encoded by a (hyper)graph. We introduce a graph-compliant decomposition framework that brings message passing into continuous optimization in a rigorous, implementable,…

Optimization and Control · Mathematics 2026-01-19 Kuangyu Ding , Marie Maros , Gesualdo Scutari

We address the challenging problem of image captioning by revisiting the representation of image scene graph. At the core of our method lies the decomposition of a scene graph into a set of sub-graphs, with each sub-graph capturing a…

Computer Vision and Pattern Recognition · Computer Science 2020-07-24 Yiwu Zhong , Liwei Wang , Jianshu Chen , Dong Yu , Yin Li

Network centrality measures play a crucial role in understanding graph structures, assessing the importance of nodes, paths, or cycles based on directed or reciprocal interactions encoded by vertices and edges. Estrada and Ross extended…

Computational Geometry · Computer Science 2024-04-26 John Rick D. Manzanares , Paul Samuel P. Ignacio
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