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What is Convex Hull

Handbook of Research on Innovative Database Query Processing Techniques
It is the convex polygon formed by a given set of points in the Euclidean plane, whose vertices are some of these points; the remaining points are inside the polygon.
Published in Chapter:
C2S: A Spatial Skyline Algorithm for Changing Data
Marlene Goncalves (Universidad Simón Bolívar, Venezuela) and Fabiola Di Bartolo (Universidad Simón Bolívar, Venezuela)
DOI: 10.4018/978-1-4666-8767-7.ch011
Abstract
Skyline queries may be used to filter interesting data from a broad range of data. A Skyline query selects those data that are the best according to multiple user-defined criteria. A special case of Skyline queries are the Spatial Skyline Queries (SSQ). SSQ allow users to express preferences on the closeness between a set of data points and a set of query points. We study the problem of answering SSQ in presence of changing data, i.e., data whose values regularly change over a period of time. In this chapter, it is proposed an algorithm to evaluate SSQ on changing data. The proposed algorithm is able to avoid recomputation of the whole Skyline with each update on the data. Also, the performance of the proposed algorithm against state-of-the-art algorithms was empirically studied. The experimental study shows that the proposed algorithm may become 3 times faster than state-of-the-art algorithms.
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Jamming Attacks and Countermeasures in Wireless Sensor Networks
The convex hull of a set of Q of points is the smallest convex polygon P for which each point in Q is either on the boundary of P or in its interior. We denote the convex hull of Q by .
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