Abstract
Motion planning for mobile robot is one of the most fundamental and complex problems in robotics. Based on introduction of the basic principle of heat conduction equation and some traditional solutions of motion planning, the model for motion planning is presented. The adaptive mesh is used to solve the equation model for motion planning. The calculation results are given and compared with other motion planning methods. Theory and calculation results prove that, as a new method for mobile robot motion planning, the heat conduction equation for mobile robot motion planning is feasible and effective.
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