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Given a collection of points in R^3, KD-Tree and R-Tree are well-known nearest neighbor search (NNS) algorithms that rely on space partitioning and spatial indexing techniques. However, when the query point is far from the data points or…

Computational Geometry · Computer Science 2025-07-30 Pengfei Wang , Jiantao Song , Shiqing Xin , Shuangmin Chen , Changhe Tu , Wenping Wang , Jiaye Wang

We propose to design data structures called succinct geometric indexes of negligible space (more precisely, o(n) bits) that, by taking advantage of the n points in the data set permuted and stored elsewhere as a sequence, to support…

Computational Geometry · Computer Science 2008-05-28 Prosenjit Bose , Eric Y. Chen , Meng He , Anil Maheshwari , Pat Morin

The Nearest Neighbor Search (NNS) problem asks to design a data structure that preprocesses an $n$-point dataset $X$ lying in a metric space $\mathcal{M}$, so that given a query point $q \in \mathcal{M}$, one can quickly return a point of…

Data Structures and Algorithms · Computer Science 2026-03-24 Robert Krauthgamer , Nir Petruschka

The Binary Space Partitioning-Tree~(BSP-Tree) process was recently proposed as an efficient strategy for space partitioning tasks. Because it uses more than one dimension to partition the space, the BSP-Tree Process is more efficient and…

Machine Learning · Statistics 2020-03-03 Xuhui Fan , Bin Li , Scott A. Sisson

Over the last decade, there have been several data structures that, given a planar subdivision and a probability distribution over the plane, provide a way for answering point location queries that is fine-tuned for the distribution. All…

Computational Geometry · Computer Science 2012-11-01 John Iacono , Wolfgang Mulzer

Massive amount of multimedia data that contain times- tamps and geographical information are being generated at an unprecedented scale in many emerging applications such as photo sharing web site and social networks applications. Due to…

Multimedia · Computer Science 2018-08-16 Chengyuan Zhang , Ruipeng Chen , Lei Zhu , Anfeng Liu , Yunwu Lin , Fang Huang

This paper tries to throw light in the usage of data structures in the field of information retrieval. Information retrieval is an area of study which is gaining momentum as the need and urge for sharing and exploring information is growing…

Information Retrieval · Computer Science 2016-02-26 V. R. Kanagavalli , G. Maheeja

This paper presents a hybrid approach to spatial indexing of two dimensional data. It sheds new light on the age old problem by thinking of the traditional algorithms as working with images. Inspiration is drawn from an analogous situation…

Data Structures and Algorithms · Computer Science 2016-11-17 Lukasz A. Machowski , Tshilidzi Marwala

We perform experimental studies on data structures that answer path median, path counting, and path reporting queries in weighted trees. These query problems generalize the well-known range median query problem in arrays, as well as the…

Data Structures and Algorithms · Computer Science 2020-04-21 Meng He , Serikzhan Kazi

Establishing the correspondences between newly acquired points and historically accumulated data (i.e., map) through nearest neighbors search is crucial in numerous robotic applications. However, static tree data structures are inadequate…

Robotics · Computer Science 2024-03-01 Jun Zhu , Hongyi Li , Zhepeng Wang , Shengjie Wang , Tao Zhang

The search for joinable data is pivotal for numerous applications, such as data integration, data augmentation, and data analysis. Although there have been many successful joinable search studies for table discovery, the study of finding…

Databases · Computer Science 2024-12-11 Wenzhe Yang , Sheng Wang , Zhiyu Chen , Yuan Sun , Zhiyong Peng

With the rapid development of mobile computing and Web services, a huge amount of data with spatial and temporal information have been collected everyday by smart mobile terminals, in which an object is described by its spatial information…

Databases · Computer Science 2018-05-15 Jun Long , Lei Zhu , Chengyuan Zhang , Shuangqiao Lin , Zhan Yang , Xinpan Yuan

Data aggregation in Geographic Information Systems (GIS) is only marginally present in commercial systems nowadays, mostly through ad-hoc solutions. In this paper, we first present a formal model for representing spatial data. This model…

Databases · Computer Science 2007-07-31 Leticia Gomez , Sofie Haesevoets , Bart Kuijpers , Alejandro Vaisman

As the structural databases continue to expand, efficient methods are required to search similar structures of the query structure from the database. There are many previous works about comparing protein 3D structures and scanning the…

Databases · Computer Science 2011-02-16 Gook-Pil Roh , Seung-won Hwang , Byoung-Kee Yi

Finding patterns in data and being able to retrieve information from those patterns is an important task in Information retrieval. Complex search requirements which are not fulfilled by simple string matching and require exploring certain…

Information Retrieval · Computer Science 2017-10-03 Amanpreet Singh , Karthik Venkatesan , Simranjyot Singh Gill

Range reporting is a classical problem in computational geometry. A (rectangular) reporting data structure stores a point set $P$, such that, given a (rectangular) query region $\Delta$, it returns all points in $P \cap \Delta$. A variety…

Computational Geometry · Computer Science 2025-12-05 Sarita de Berg , Emil Toftegaard Gæde , Ivor van der Hoog , Henrik Reinstädtler , Eva Rotenberg

We present efficient data structures for approximate nearest neighbor searching and approximate 2-point shortest path queries in a two-dimensional polygonal domain $P$ with $n$ vertices. Our goal is to store a dynamic set of $m$ point sites…

Computational Geometry · Computer Science 2026-03-13 Joost van der Laan , Frank Staals , Lorenzo Theunissen

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

The need for scalable concurrent ordered set data structures with linearizable range query support is increasing due to the rise of multicore computers, data processing platforms and in-memory databases. This paper presents a new concurrent…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-05 Kjell Winblad

In this paper we present several novel efficient techniques and multidimensional data structures which can improve the decision making process in many domains. We consider online range aggregation, range selection and range weighted median…

Computational Geometry · Computer Science 2010-01-12 Madalina Ecaterina Andreica , Mugurel Ionut Andreica , Nicolae Cataniciu