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Fig 1.

Schematic diagram of expansion distance.

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Fig 1 Expand

Fig 2.

The process of BFS.

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Fig 2 Expand

Fig 3.

Schematic diagrams of bidirectional search.

(a) Unidirectional search. (b) Bidirectional search without obs. (c) Bidirectional search with an obstacle. (d) Bidirectional search with multiple obstacles.

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Fig 4.

Smoothing optimization strategy for a single right-angle turn.

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Fig 5.

Smoothing optimization strategy for continuous right-angle turns.

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Fig 5 Expand

Fig 6.

The execution process of the EBS-A* algorithm.

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Fig 7.

Simulation results of four algorithms on a 50×50 map.

(a) A* algorithm. (b) A* with expansion distance. (c) Bidirectional A* with expansion distance. (d) EBS-A* algorithm.

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Table 1.

Simulation results of four algorithms on a 50×50 map.

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Table 1 Expand

Table 2.

Average simulation results of four algorithms on randomized 50×50 maps.

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Table 2 Expand

Fig 8.

Simulation results of four algorithms on a 100×100 map.

(a) A* algorithm. (b) A* with expansion distance. (c) Bidirectional A* with expansion distance. (d) EBS-A* algorithm.

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Fig 8 Expand

Fig 9.

Simulation results of four algorithms on a 150×150 map.

(a) A* algorithm. (b) A* with expansion distance. (c) Bidirectional A* with expansion distance. (d) EBS-A* algorithm.

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Fig 9 Expand

Fig 10.

Simulation results of four algorithms on a 200×200 map.

(a) A* algorithm. (b) A* with expansion distance. (c) Bidirectional A* with expansion distance. (d) EBS-A* algorithm.

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Fig 10 Expand

Table 3.

Simulation results of four algorithms on a 100×100 map.

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Table 3 Expand

Table 4.

Average simulation results of four algorithms on randomized 100×100 maps.

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Table 4 Expand

Table 5.

Simulation results of four algorithms on a 150×150 map.

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Table 5 Expand

Table 6.

Average simulation results of four algorithms on randomized 150×150 maps.

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Table 6 Expand

Table 7.

Simulation results of four algorithms on a 200×200 map.

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Table 7 Expand

Table 8.

Average simulation results of four algorithms on randomized 200×200 maps.

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Table 8 Expand

Fig 11.

The path planning of the geometric A*.

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Fig 12.

The path planning of the EBS-A*.

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Table 9.

Algorithm performance comparison.

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Table 9 Expand

Fig 13.

Comparison graph of algorithm running time.

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Fig 14.

FS-AIROBOTB component diagram.

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Table 10.

FS-AIROBOTB component serial number comparison table.

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Table 10 Expand

Fig 15.

Actual test environment and the map constructed by SLAM.

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Fig 16.

The rviz interface of path planning and extracted path.

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