Title
Exploring Grid Polygons Online
Abstract
We investigate the exploration problem of a short-sighted mobile robot moving in an unknown cellular room. To explore a cell, the robot must enter it. Once inside, the robot knows which of the 4 adjacent cells exist and which are boundary edges. The robot starts from a specified cell adjacent to the room's outer wall; it visits each cell, and returns to the start. Our interest is in a short exploration tour; that is, in keeping the number of multiple cell visits small. For abitrary environments containing no obstacles we provide a strategy producing tours of length S <= C + 1/2 E - 3, and for environments containing obstacles we provide a strategy, that is bound by S <= C + 1/2 E + 3H + WCW - 2, where C denotes the number of cells-the area-, E denotes the number of boundary edges-the perimeter-, and H is the number of obstacles, and WCW is a measure for the sinuosity of the given environment.
Year
Keywords
Field
2010
mobile robot,competitive analysis,computational geometry,online algorithms
Computer vision,Discrete mathematics,Polygon,Exploration problem,Theoretical computer science,Perimeter,Artificial intelligence,Robot,Sinuosity,Mathematics,Mobile robot,Grid
DocType
Volume
Citations 
Journal
abs/1012.5
1
PageRank 
References 
Authors
0.35
17
4
Name
Order
Citations
PageRank
Christian Icking136433.17
Tom Kamphans2629.74
Rolf Klein314316.94
Elmar Langetepe419925.87