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5.2 An Application of Dynamic Programming IMPLEMENTATION<br />

{s , s , s , s }<br />

2 3 4 5<br />

{d1 , d2 , d 3 , d 4 , d5 , d 6 }<br />

DEST .<br />

24 (31) .<br />

SOURCE<br />

7 (7)<br />

{Ø}<br />

{d }<br />

6<br />

{s } 5<br />

{d5 , d 6 }<br />

{s , s } 4 5<br />

{d4 , d 5 , d6 }<br />

{s , s , s }<br />

3 4 5<br />

{d3 , d 4 , d 5 , d6 }<br />

{s , s , s , s }<br />

2 3 4 5<br />

{d2 , d3 , d 4 , d 5 , d6 }<br />

{s , s , s , s , s }<br />

1 2 3 4 5<br />

{d1 , d 2 , d3 , d 4 , d 5 , d6 }<br />

IDENTIFY<br />

28 (83)<br />

IDENTIFY<br />

20 (55)<br />

IDENTIFY<br />

12 (41)<br />

IDENTIFY<br />

37 (37)<br />

s<br />

{Ø}<br />

{Ø}<br />

DEST<br />

26 (109)<br />

SOURCE<br />

4 (35)<br />

SOURCE<br />

9 (29)<br />

t<br />

IDENTIFY<br />

25 (134)<br />

DEST<br />

9 (38)<br />

DEST<br />

20 (20)<br />

{s } 5<br />

{d }<br />

6<br />

IDENTIFY<br />

11 (31)<br />

{s , s , s , s , s }<br />

1 2 3 4 5<br />

{d , d , d , d , d }<br />

2 3 4 5 6<br />

{s5 }<br />

{Ø}<br />

DEST<br />

15 (46)<br />

Figure 42: Gridline matching as a shortest path problem (cumulated costs in parentheses),<br />

comp. Fig. 41<br />

78<br />

{s , s , s , s }<br />

2 3 4 5<br />

{d , d , d , d }<br />

3 4 5 6<br />

DEST<br />

3 (23)

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