Tsallis Divergence as Strategy for Radioactive Source Search and Location

Figures & data

Fig. 1. Search region and measurement point schematic.

Fig. 2. Search path and radioactive source parameter estimation results: (a) moves are 5; (b) moves are 10; (c) moves are 15; (d) moves are 20.

Fig. 3. Error of estimation of radioactive source parameters.

Fig. 4. Experimental results: (a) the starting point is (2000, 1000) cm; (b) the starting point is (2000, −1000) cm.

Fig. 5. Results of parameter estimation for two radioactive sources: (a) search path; (b) estimated number of radioactive sources.

TABLE I Search Performance for Different Values of α (30 Moves)

	α = 0.1	α = 0.5	α = 0.999
Average final $\hat{s}$	2	2	2
Error in x (cm)	80.92	21.69	39.40
Error in y (cm)	28.91	41.46	22.34
Average program run time (s)	890.29	1207.40	1465.27

Fig. 6. Uniform search of a radioactive source.

TABLE II Search Performance for Different Search Strategies

	Uniform Search		Tsallis Divergence
Number of sources	1 (60 moves)	2 (60 moves)	1 (20 moves)	2 (30 moves)
Error in x (cm)	25.22	40.55	33.42	21.69
Error in y (cm)	35.70	76.53	10.95	41.46

Fig. 7. Uniform search of two radioactive sources: (a) 60 moves; (b) 120 moves.

Fig. 8. The experimental scenario and NaI detector.

Fig. 9. Search for radioactive sources.

Fig. 10. Search results.

TABLE III Search Performance for Different Search Strategies

	Uniform Search		Tsallis Divergence
Number of sources	1 (30 moves)	1 (60 moves)	1 (15 moves)
Error in x (cm)	40.12	47.51	53.05
Error in y (cm)	81.16	51.03	9.47

Fig. 11. Performance of uniform search: (a) 30 moves; (b) 60 moves.

Data Availability Statement

The data that support the findings of this study are available from the corresponding author upon reasonable request.