2010
DOI: 10.1007/978-3-642-11876-0_20
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An Approximate Computation of the Dominant Region Diagram for the Real-Time Analysis of Group Behaviors

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Cited by 12 publications
(11 citation statements)
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“…To achieve the real-time computation required for application in the RoboCup robot football tournament [47], the authors proposed an alternative approach. Instead of computing the time required for every player to get to every point, Nakanishi et al [59] used a so-called reachable polygonal region (RPR). The RPR of a player p given time t is the region that p can reach within time t. An advantage with using the RPR for computing dominant regions is that more complex motion models can be used by simply drawing the RPR for different values of t. They presented the following high-level algorithm.…”
Section: Dominant Regionsmentioning
confidence: 99%
“…To achieve the real-time computation required for application in the RoboCup robot football tournament [47], the authors proposed an alternative approach. Instead of computing the time required for every player to get to every point, Nakanishi et al [59] used a so-called reachable polygonal region (RPR). The RPR of a player p given time t is the region that p can reach within time t. An advantage with using the RPR for computing dominant regions is that more complex motion models can be used by simply drawing the RPR for different values of t. They presented the following high-level algorithm.…”
Section: Dominant Regionsmentioning
confidence: 99%
“…The dominant region considers the direction and velocity of the players [3]. This concept is further developed by Fujimura and Sugihara [5] and Nakanishi et al [15] who define efficient approximation models for calculating the dominant region. Gudmundsson and Wolle consider a related problem of computing the passing options that the player in possession has, based on the areas of the pitch that are reachable by the other players [7].…”
Section: Related Workmentioning
confidence: 99%
“…As such, we use an approximation algorithm to compute the dominant region. Taki and Hasegawa [20] and Nakanishi et al [15] both present approximation algorithms where x is approximated by a discrete grid Y ⊂ N 2 , and the dominant regions are thus computed for all points in Y . In the following subsection we present an approximation algorithm that uses the approximate motion model function to compute the boundaries of the dominant regions.…”
Section: The Dominant Regionmentioning
confidence: 99%
“…There are later studies that further developed more realistic models of calculating the dominant regions. For example, Fujimura and Sugihara [8] and Nakanishi et al [22].…”
Section: Related Resultsmentioning
confidence: 99%
“…However, scattered results are available and in recent years more research is done in the area. See for example Fujimura and Sugihara [8], Grunz et al [10,11], Kim et al [17] and Nakanishi et al [22].…”
Section: Introductionmentioning
confidence: 99%