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Zones index an N-dimensional Euclidian or metric space to efficiently support points-near-a-point queries either within a dataset or between two datasets. The approach uses relational algebra and the B-Tree mechanism found in almost all…

Databases · Computer Science 2007-05-23 Jim Gray , Maria A. Nieto-Santisteban , Alexander S. Szalay

We present a case study about the spatial indexing and regional classification of billions of geographic coordinates from geo-tagged social network data using Hierarchical Triangular Mesh (HTM) implemented for Microsoft SQL Server. Due to…

We describe a method to subdivide the surface of a sphere into spherical triangles of similar, but not identical, shapes and sizes. The Hierarchical Triangular Mesh (HTM) is a quad-tree that is particularly good at supporting searches at…

Databases · Computer Science 2007-05-23 Alexander S. Szalay , Jim Gray , George Fekete , Peter Z. Kunszt , Peter Kukol , Ani Thakar

Current and future astronomical surveys are producing catalogs with millions and billions of objects. On-line access to such big datasets for data mining and cross-correlation is usually as highly desired as unfeasible. Providing these…

Databases · Computer Science 2007-05-23 Maria A. Nieto-Santisteban , Aniruddha R. Thakar , Alexander S. Szalay , Jim Gray

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

Scientific endeavors such as large astronomical surveys generate databases on the terabyte scale. These, usually multidimensional databases must be visualized and mined in order to find interesting objects or to extract meaningful and…

Optimization tasks over relational data, such as clustering, often suffer from the prohibitive cost of join operations, which are necessary to access the full dataset. While geometric data structures like BBD trees yield fast approximation…

Databases · Computer Science 2026-03-13 Aryan Esmailpour , Stavros Sintos

The query log of a DBMS is a powerful resource. It enables many practical applications, including query optimization and user experience enhancement. And yet, mining SQL queries is a difficult task. The fundamental problem is that queries…

Databases · Computer Science 2017-03-28 Thibault Sellam , Martin Kersten

In this paper, we investigate space-time tradeoffs for answering Boolean conjunctive queries. The goal is to create a data structure in an initial preprocessing phase and use it for answering (multiple) queries. Previous work has developed…

Data Structures and Algorithms · Computer Science 2023-08-15 Shaleen Deep , Xiao Hu , Paraschos Koutris

An increasing amount of trajectory data is being annotated with text descriptions to better capture the semantics associated with locations. The fusion of spatial locations and text descriptions in trajectories engenders a new type of…

Databases · Computer Science 2012-05-15 Gao Cong , Hua Lu , Beng Chin Ooi , Dongxiang Zhang , Meihui Zhang

Spatial data structures allow to make efficient queries on Geographical Information Systems (GIS). Spatial queries involve the geometry of the data, such as points, lines, or polygons. For instance, a spatial query could poll for the…

Databases · Computer Science 2022-11-11 Florent Grélard , Mehdi Ayadi , Mihaela Scuturici , Serge Miguet

Clustering is one of the major tasks in data mining. In the last few years, Clustering of spatial data has received a lot of research attention. Spatial databases are components of many advanced information systems like geographic…

Databases · Computer Science 2012-06-04 Mohamed A. El-Zawawy

In spatial regression models, spatial heterogeneity may be considered with either continuous or discrete specifications. The latter is related to delineation of spatially connected regions with homogeneous relationships between variables…

Methodology · Statistics 2023-10-17 Hao Guo , Andre Python , Yu Liu

We propose an extension of tree-based space-partitioning indexing structures for data with low intrinsic dimensionality embedded in a high dimensional space. We call this extension an Angle Tree. Our extension can be applied to both…

Data Structures and Algorithms · Computer Science 2010-04-19 Ilia Zvedeniouk , Sanjay Chawla

Multi-criteria decision making has been made possible with the advent of skyline queries. However, processing such queries for high dimensional datasets remains a time consuming task. Real-time applications are thus infeasible, especially…

Databases · Computer Science 2011-06-13 Arnab Bhattacharya , B. Palvali Teja , Sourav Dutta

This is an algorithm for finding neighbors when the objects can freely move and have no predefined position. The query consists in finding neighbors for a center location and a given radius. Space is discretized in cubic cells. This…

Data Structures and Algorithms · Computer Science 2007-05-23 Nicolas Brodu

We introduce indexing of tables referencing complex structures such as digraphs and spatial objects, appearing in genetics and other data intensive analysis. The indexing is achieved by extracting dimension schemas from the referenced…

Databases · Computer Science 2007-05-23 Agust S. Egilsson , Hakon Gudbjartsson

Spatial data mining or Knowledge discovery in spatial database is the extraction of implicit knowledge, spatial relations and spatial patterns that are not explicitly stored in databases. Co-location patterns discovery is the process of…

Databases · Computer Science 2014-02-07 Mr. Rushirajsinh L. Zala , Mr. Brijesh B. Mehta , Mr. Mahipalsinh R. Zala

The datasets available nowadays are very rich and complex, but how do we reach the information we are looking for? In this survey, two different approaches to query a dataset are analyzed and algorithms for each type are explained.…

Databases · Computer Science 2022-02-04 Matteo Cordioli

Finding similar data in high-dimensional spaces is one of the important tasks in multimedia applications. Approaches introduced to find exact searching techniques often use tree-based index structures which are known to suffer from the…

Databases · Computer Science 2022-11-17 Omid Jafari , Parth Nagarkar
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