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Related papers: GraCT: A Grammar-based Compressed Index for Trajec…

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We present a compressed data structure to store free trajectories of moving objects (ships over the sea, for example) allowing spatio-temporal queries. Our method, GraCT, uses a $k^2$-tree to store the absolute positions of all objects at…

Data Structures and Algorithms · Computer Science 2016-12-13 Nieves R. Brisaboa , Adrián Gómez-Brandón , Gonzalo Navarro , José R. Paramá

Much research has been published about trajectory management on the ground or at the sea, but compression or indexing of flight trajectories have usually been less explored. However, air traffic management is a challenge because airspace is…

Data Structures and Algorithms · Computer Science 2018-12-31 Nieves R. Brisaboa , Adrián Gómez-Brandón , Miguel A. Martínez-Prieto , José R. Paramá

We propose a data structure that stores, in a compressed way, object trajectories, which at the same time, allow to efficiently response queries without the need to decompress the data. We use a data structure, called $k^{2}$-tree, to store…

Data Structures and Algorithms · Computer Science 2016-11-18 Guillermo de Bernardo , Ramón Casares , Adrián Gómez-Brandón , José R. Paramá

We present a new compressed representation of free trajectories of moving objects. It combines a partial-sums-based structure that retrieves in constant time the position of the object at any instant, with a hierarchical…

Data Structures and Algorithms · Computer Science 2017-10-06 Nieves R. Brisaboa , Travis Gagie , Adrián Gómez-Brandón , Gonzalo Navarro , José R. Paramá

In this paper, we present a compressed data structure for moving object trajectories in a road network, which are represented as sequences of road edges. Unlike existing compression methods for trajectories in a network, our method supports…

Data Structures and Algorithms · Computer Science 2017-10-02 Satoshi Koide , Yukihiro Tadokoro , Chuan Xiao , Yoshiharu Ishikawa

We present RCT, a new compact data structure to represent trajectories of objects. It is based on a relative compression technique called Relative Lempel-Ziv (RLZ), which compresses sequences by applying an LZ77 encoding with respect to an…

Data Structures and Algorithms · Computer Science 2018-10-16 Nieves R. Brisaboa , Travis Gagie , Adrián Gómez-Brandón , Gonzalo Navarro , José R. Paramá

We present a new graph compressor that works by recursively detecting repeated substructures and representing them through grammar rules. We show that for a large number of graphs the compressor obtains smaller representations than other…

Data Structures and Algorithms · Computer Science 2017-04-19 Sebastian Maneth , Fabian Peternek

We describe an algorithm for compressing a partially ordered set, or \emph{poset}, so that it occupies space matching the information theory lower bound (to within lower order terms), in the worst case. Using this algorithm, we design a…

Data Structures and Algorithms · Computer Science 2012-04-24 J. Ian Munro , Patrick K. Nicholson

Computing over compressed data combines the space saving of data compression with efficient support for queries directly on the compressed representation. Such data structures are widely applied in text indexing and have been successfully…

Data Structures and Algorithms · Computer Science 2025-06-27 Ziad Ismaili Alaoui , Namrata , Sebastian Wild

Representing the movements of objects (trips) over a network in a compact way while retaining the capability of exploiting such data effectively is an important challenge of real applications. We present a new Compact Trip Representation…

Data Structures and Algorithms · Computer Science 2019-01-01 Nieves R. Brisaboa , Antonio Fariña , Daniil Galaktionov , M. Andrea Rodriguez

Gaussian Processes (GPs) are expressive models for capturing signal statistics and expressing prediction uncertainty. As a result, the robotics community has gathered interest in leveraging these methods for inference, planning, and…

Robotics · Computer Science 2023-08-29 Francesco Crocetti , Jeffrey Mao , Alessandro Saviolo , Gabriele Costante , Giuseppe Loianno

We address aggregate queries over GIS data and moving object data, where non-spatial data are stored in a data warehouse. We propose a formal data model and query language to express complex aggregate queries. Next, we study the compression…

Databases · Computer Science 2007-08-22 Leticia Gomez , Bart Kuijpers , Alejandro Vaisman

Efficient spatial indexing is crucial for processing large-scale spatial data. Traditional spatial indexes, such as STR-Tree and Quad-Tree, organize spatial objects based on coarse approximations, such as their minimum bounding rectangles…

Databases · Computer Science 2026-03-10 Xiangyang Yang , Xuefeng Guan , Lanxue Dang , Yi Xie , Qingyang Xu , Huayi Wu , Jiayao Wang

Location data becomes more and more important. In this paper, we focus on the trajectory data, and propose a new framework, namely PRESS (Paralleled Road-Network-Based Trajectory Compression), to effectively compress trajectory data under…

Databases · Computer Science 2014-02-10 Renchu Song , Weiwei Sun , Baihua Zheng , Yu Zheng

The tremendous expanse of search engines, dictionary and thesaurus storage, and other text mining applications, combined with the popularity of readily available scanning devices and optical character recognition tools, has necessitated…

Databases · Computer Science 2012-07-04 Sourav Dutta , Arnab Bhattacharya

Tucker decomposition has been widely used in a variety of applications to obtain latent factors of tensor data. In these applications, a common need is to compute Tucker decomposition for a given time range. Furthermore, real-world tensor…

Data Structures and Algorithms · Computer Science 2025-01-14 Ruizhong Qiu , Jun-Gi Jang , Xiao Lin , Lihui Liu , Hanghang Tong

We present a compact data structure to represent both the duration and length of homogeneous segments of trajectories from moving objects in a way that, as a data warehouse, it allows us to efficiently answer cumulative queries. The…

Data Structures and Algorithms · Computer Science 2020-03-02 Nieves R. Brisaboa , Antonio Fariña , Gonzalo Navarro , Tirso V. Rodeiro

Sequence representations supporting not only direct access to their symbols, but also rank/select operations, are a fundamental building block in many compressed data structures. Several recent applications need to represent highly…

Data Structures and Algorithms · Computer Science 2019-11-25 Alberto Ordóñez , Gonzalo Navarro , Nieves R. Brisaboa

Text indexing is a classical algorithmic problem that has been studied for over four decades: given a text $T$, pre-process it off-line so that, later, we can quickly count and locate the occurrences of any string (the query pattern) in $T$…

Data Structures and Algorithms · Computer Science 2020-12-15 Nicola Prezza

Graphs of Convex Sets (GCS) is a recent method for synthesizing smooth trajectories by decomposing the planning space into convex sets, forming a graph to encode the adjacency relationships within the decomposition, and then simultaneously…

Robotics · Computer Science 2024-10-14 Ramkumar Natarajan , Chaoqi Liu , Howie Choset , Maxim Likhachev
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