Reducing the number of points on the convex hull calculation using the polar space subdivision in E2

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F16%3A43929445" target="_blank" >RIV/49777513:23520/16:43929445 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1109/SIBGRAPI.2016.14" target="_blank" >http://dx.doi.org/10.1109/SIBGRAPI.2016.14</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/SIBGRAPI.2016.14" target="_blank" >10.1109/SIBGRAPI.2016.14</a>

Result language
angličtina
Original language name
Reducing the number of points on the convex hull calculation using the polar space subdivision in E2
Original language description
A convex hull of points in E2 is used in many applications. In spite of low computational complexity O(hlogN) it takes considerable time if large data processing is needed. We present a new algorithm to speed up any planar convex hull calculation. It is based on a polar space subdivision and speed up known convex hull algorithms of 3,7 times and more. The algorithm estimates the central point using 10% of the data; this point is taken as the origin for the polar subdivision. The space subdivision enables a fast and very efficient reduction of the given points, which cannot contribute to the final convex hull. The proposed algorithm iteratively approximates the convex hull, leaving only a small number of points for the final processing, which is performed using a "standard" algorithm. Non-eliminated points are then processed by a selected standard convex hull algorithm. The algorithm is simple and easy to implement. Experiments proved numerical robustness as well.
Czech name
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Czech description
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Project
<a href="/en/project/LH12181" target="_blank" >LH12181: Development of Algorithms for Computer Graphics and CAD/CAM systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Electronic Proceedings of the 29th Conference on Graphics, Patterns and Images (SIBGRAPI'16)
ISBN
978-1-5090-3568-7
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
40-47
Publisher name
IEEE
Place of publication
Piscataway
Event location
SaoJosé dos Campos, SP, Brazil
Event date
Oct 4, 2016
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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