2005 · 100 citations · 9 references
ComputingAutonomous SystemsComputational GeometryMotion PlanningPath PlanningObstacle AvoidanceObstacle DetectionVisibility ComputationVisibility GraphsConfiguration Space AnalysisDynamic VisibilityDynamic Visibility GraphObstacle RepresentationPath OptimizationReduced Visibility Graph
In this paper, we propose a fast dynamic visibility graph (DVG) for constructing a reduced roadmap among convex polygonal obstacles. DVG is extracted from the global environment with the simple geometric method and rules. Moreover, the data preprocessing is based on the concept of V-circle. Through V-circle, the process is speeded up greatly. Finally, DVG is extended to deal with multi-target problems that traditionally require a lot of time for reconstructing configuration space (C-space).
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Visibility of disjoint polygons
Takao Asano, Tetsuo Asano, Leonidas Guibas et al. · Algorithmica · 1986 · 225 citations