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The Configuration Space of a Robotic Arm in a Tunnel

Acceso Abierto
ID Minciencias: ART-0001576915-1
Ranking: ART-ART_A2

Abstract:

We study the motion of a robotic arm inside a rectangular tunnel. We prove that the configuration space of all possible positions of the robot is a ${CAT}(0)$ cubical complex. This allows us to use techniques from geometric group theory to find the optimal way of moving the arm from one position to another. We also compute the diameter of the configuration space, that is, the longest distance between two positions of the robot.

Tópico:

Digital Image Processing Techniques

Citaciones:

Citations: 10
10

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Información de la Fuente:

SCImago Journal & Country Rank
FuenteSIAM Journal on Discrete Mathematics
Cuartil año de publicaciónNo disponible
Volumen31
Issue4
Páginas2675 - 2702
pISSNNo disponible
ISSN0895-4801

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Artículo de revista