2015
DOI: 10.1145/2774220
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Generating Moving Regions from Snapshots of Complex Regions

Abstract: Moving regions are a form of spatiotemporal data in which a region changes in shape and/or position over time. In many fields, moving regions representing real-world phenomena are collected using sensors that take temporally encoded snapshots of regions. We provide a novel algorithm that creates a moving region between any two complex regions. The proposed algorithm has worst-case time bounds of O(n 2 ), but can use approximation techniques to achieve O(n lg n) in practice, space bounds of O(n), and output siz… Show more

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Cited by 22 publications
(5 citation statements)
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“…In this section we compare and evaluate three methods, two region interpolation methods proposed in the spatiotemporal databases literature and a method that is being developed to solve the region interpolation problem as part of a PhD thesis, i.e., Librip [5], PySpatiotemporalGeom [9] and Morphrip, respectively. Currently, Morphrip can only handle simple polygons.…”
Section: Resultsmentioning
confidence: 99%
“…In this section we compare and evaluate three methods, two region interpolation methods proposed in the spatiotemporal databases literature and a method that is being developed to solve the region interpolation problem as part of a PhD thesis, i.e., Librip [5], PySpatiotemporalGeom [9] and Morphrip, respectively. Currently, Morphrip can only handle simple polygons.…”
Section: Resultsmentioning
confidence: 99%
“…The spatial transformations in a slice are given by region interpolation methods (e.g. [4,[10][11][12][13]) that provide representations with different characteristics and behaviors, and there is no consensus on a method that provides realistic interpolations for all use cases. In fact, the evaluation the spatio-temporal transformations generated using region interpolation methods is commonly performed visually and case by case.…”
Section: Background and Related Workmentioning
confidence: 99%
“…This section presents how to express user-defined rules using SQL and illustrative examples over real-world data. Three region interpolation methods are used: Secondo [10], PySpatioTemporalGeom [11] and SPTMesh [4]. The source images and WKT representations of geometries are available at http://most.web.ua.pt/datasamples.zip.…”
Section: Applications On Real-world Datamentioning
confidence: 99%
“… Works on finding : (Heinz & Güting, 2016;Mckenney & Webb, 2010;Mckennney & Frye, 2015;Tøssebro & Güting, 2001)  Morphing techniques using polygons compatible triangulations and rigidity-preserving interpolation methods: (Alexa, Cohen-Or, & Levin, 2000;Baxter et al, 2008;Gong, 2011;Craig Gotsman & Surazhsky, 2001;Haesevoets & Kuijpers, 2004).…”
Section: Representation Of Moving Regionsmentioning
confidence: 99%
“…Our goal is to obtain a realistic representation of the evolution between these geometries. (Amaral, 2015) shows that the use of compatible triangulation and rigid interpolation methods obtains more realistic representations of the evolution of these geometries when compared to other methods proposed in the literature (Tøssebro & Güting, 2001) and (Mckennney & Frye, 2015).…”
Section: A Discrete Data Model For Moving Objectsmentioning
confidence: 99%