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Related papers: Central Trajectories

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Due to the massively increasing amount of available geospatial data and the need to present it in an understandable way, clustering this data is more important than ever. As clusters might contain a large number of objects, having a…

Machine Learning · Computer Science 2020-12-02 Milutin Brankovic , Kevin Buchin , Koen Klaren , André Nusser , Aleksandr Popov , Sampson Wong

We present a near-linear time approximation algorithm for the subtrajectory cluster problem of $c$-packed trajectories. The problem involves finding $m$ subtrajectories within a given trajectory $T$ such that their Fr\'echet distances are…

Data Structures and Algorithms · Computer Science 2023-07-21 Joachim Gudmundsson , Zijin Huang , André van Renssen , Sampson Wong

Given a trajectory $T$ and a distance $\Delta$, we wish to find a set $C$ of curves of complexity at most $\ell$, such that we can cover $T$ with subcurves that each are within Fr\'echet distance $\Delta$ to at least one curve in $C$. We…

Computational Geometry · Computer Science 2025-05-26 Ivor van der Hoog , Thijs van der Horst , Tim Ophelders

Advancements in Intelligent Traffic Systems (ITS) have made huge amounts of traffic data available through automatic data collection. A big part of this data is stored as trajectories of moving vehicles and road users. Automatic analysis of…

Machine Learning · Computer Science 2021-12-06 Mohsen Rezaie , Nicolas Saunier

Clustering trajectories is a central challenge when faced with large amounts of movement data such as GPS data. We study a clustering problem that can be stated as a geometric set cover problem: Given a polygonal curve of complexity $n$,…

Computational Geometry · Computer Science 2025-02-21 Jacobus Conradi , Anne Driemel

With recent advances in sensing and tracking technology, trajectory data is becoming increasingly pervasive and analysis of trajectory data is becoming exceedingly important. A fundamental problem in analyzing trajectory data is that of…

Computational Geometry · Computer Science 2013-03-08 Swaminathan Sankararaman , Pankaj K. Agarwal , Thomas Mølhave , Arnold P. Boedihardjo

We study subtrajectory clustering under the Fr\'echet distance. Given one or more trajectories, the task is to split the trajectories into several parts, such that the parts have a good clustering structure. We approach this problem via a…

Computational Geometry · Computer Science 2021-12-23 Hugo A. Akitaya , Frederik Brüning , Erin Chambers , Anne Driemel

Motivated by automated junction recognition in tracking data, we study a problem of placing a square or disc of fixed size in an arrangement of lines or line segments in the plane. We let distances among the intersection points of the lines…

Computational Geometry · Computer Science 2016-07-20 Ingo van Duijn , Irina Kostitsyna , Marc van Kreveld , Maarten Löffler

Many application areas collect unstructured trajectory data. In subtrajectory clustering, one is interested to find patterns in this data using a hybrid combination of segmentation and clustering. We analyze two variants of this problem…

Computational Geometry · Computer Science 2025-04-25 Jacobus Conradi , Anne Driemel

This paper comprehensively surveys the development of trajectory clustering. Considering the critical role of trajectory data mining in modern intelligent systems for surveillance security, abnormal behavior detection, crowd behavior…

Computer Vision and Pattern Recognition · Computer Science 2018-02-21 Jiang Bian , Dayong Tian , Yuanyan Tang , Dacheng Tao

The development of autonomous vehicles requires having access to a large amount of data in the concerning driving scenarios. However, manual annotation of such driving scenarios is costly and subject to the errors in the rule-based…

Machine Learning · Computer Science 2020-09-29 Fazeleh S. Hoseini , Sadegh Rahrovani , Morteza Haghir Chehreghani

We study a trajectory analysis problem we call the Trajectory Capture Problem (TCP), in which, for a given input set ${\cal T}$ of trajectories in the plane, and an integer $k\geq 2$, we seek to compute a set of $k$ points (``portals'') to…

Computational Geometry · Computer Science 2020-04-08 Sándor P. Fekete , Alexander Hill , Dominik Krupke , Tyler Mayer , Joseph S. B. Mitchell , Ojas Parekh , Cynthia A. Phillips

We cluster a set of trajectories T using subtrajectories of T. Clustering quality may be measured by the number of clusters, the number of vertices of T that are absent from the clustering, and by the Fr\'{e}chet distance between…

Computational Geometry · Computer Science 2025-03-19 Ivor van der Hoog , Lara Ost , Eva Rotenberg , Daniel Rutschmann

This paper reports on ongoing research investigating more expressive approaches to spatial-temporal trajectory clustering. Spatial-temporal data is increasingly becoming universal as a result of widespread use of GPS and mobile devices,…

Databases · Computer Science 2017-12-12 Ivens Portugal , Paulo Alencar , Donald Cowan

Trajectory clustering is an important operation of knowledge discovery from mobility data. Especially nowadays, the need for performing advanced analytic operations over massively produced data, such as mobility traces, in efficient and…

Databases · Computer Science 2020-03-03 Panagiotis Tampakis , Nikos Pelekis , Christos Doulkeridis , Yannis Theodoridis

Scientists study trajectory data to understand trends in movement patterns, such as human mobility for traffic analysis and urban planning. There is a pressing need for scalable and efficient techniques for analyzing this data and…

Machine Learning · Computer Science 2012-09-03 Nivan Ferreira , James T. Klosowski , Carlos Scheidegger , Claudio Silva

Identifying mobility behaviors in rich trajectory data is of great economic and social interest to various applications including urban planning, marketing and intelligence. Existing work on trajectory clustering often relies on similarity…

Machine Learning · Computer Science 2020-03-04 Mingxuan Yue , Yaguang Li , Haoze Yang , Ritesh Ahuja , Yao-Yi Chiang , Cyrus Shahabi

Clustering is one of the fundamental tasks in data analytics and machine learning. In many situations, different clusterings of the same data set become relevant. For example, different algorithms for the same clustering task may return…

Optimization and Control · Mathematics 2020-04-06 Steffen Borgwardt , Charles Viss

We present a novel clustering approach for moving object trajectories that are constrained by an underlying road network. The approach builds a similarity graph based on these trajectories then uses modularity-optimization hiearchical graph…

Machine Learning · Statistics 2012-10-08 Mohamed Khalil El Mahrsi , Fabrice Rossi

One basic requirement of many studies is the necessity of classifying data. Clustering is a proposed method for summarizing networks. Clustering methods can be divided into two categories named model-based approaches and algorithmic…

Machine Learning · Computer Science 2013-02-19 Raheleh Namayandeh , Farzad Didehvar , Zahra Shojaei
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