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This document explores advanced motion planning techniques used in robotics, focusing on start-goal methods, map-based approaches, and cellular decompositions. It defines the robot's free space (FS) as the workspace (W) minus the union of obstacles (Ci). The goal is to derive a continuous path (c) that enables a robot to navigate effectively within its free space, ensuring safe maneuvering around obstacles. The methods discussed aim to enhance the efficiency and safety of robotic movements in complex environments.
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