A literature review on path planning of polyhedrons with rolling contact
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Path planning of polyhedrons by rolling on edges includes arbitrary relocation, obstacle avoidance and goal achievement. These tasks have various applications in robotics fields such as autonomous vehicles, navigation and robotic surgery. This paper reviewed path planning approaches applied to rolling contact with different types of polyhedral parts. The advantages and disadvantages of some mainstream algorithms were analyzed and compared. We further pointed out the directions of future research on rolling polyhedron path planning in discrete space.
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Lam, Ngoc Tam (2022)This thesis solved the path-planning problem of the Platonic solids and truncated icosahedron through edge-rolling on a plane with obstacle avoidance, which hitherto had not been solved. The BFS-based algorithm found the ...
Lam, Ngoc Tam ; Howard, Ian ; Cui, Lei (2021)The five Platonic solids-tetrahedron, cube, octahedron, dodecahedron, and icosahedron- have found many applications in mathematics, science, and art. Path planning for the Platonic solids had been suggested, but not ...
Janarthanan, Ayshwarya (2020)This study was to develop a path planning algorithm which identifies the lay-by and the divider on either sides of a path, then calculate and create a central reference line of dots without the need of a center line or ...