IN302 – Chapitre 4

Flotset réseaux de transport

Réseaux de transport

Réseau de transport

S

b

a

P

10

40 30

10

20

Flot ?

S

b

a

P

10

40 30

10

20S

b

a

P

20

20 20

20

10

Flot ?

S

b

a

P

10

40 30

10

20S

b

a

P

20

20 20

20

10

Flot ?

S

b

a

P

10

40 30

10

20S

b

a

P

20

20 30

10

10

Flot

S

b

a

P

10

40 30

10

20S

b

a

P

20

20 30

10

10

40

Flot compatible

S

b

a

P

10

40 30

10

20S

b

a

P

10

20 30

0

10

30

Flot compatible

S

b

a

P

10

40 30

10

20S

b

a

P

10

20 30

0

10

30

Ce flot est-il maximal ?

Flot compatible maximal

S

b

a

P

10

40 30

10

20S

b

a

P

10

30 30

10

0

40

Réseau d’écart

S

b

a

P

10

40 30

10

20S

b

a

P

10

20 30

0

10

30

S

b

a

P

20

10

10

Réseau d’écart

S

b

a

P

10

40 30

10

20S

b

a

P

10

20 30

0

10

30

S

b

a

P

20

10

10

10

2030

10

Ford & Fulkerson

S

b

a

P

10

40 30

10

20S

b

a

P

0

0 0

0

0

0

40

10

20S

b

a

P

10

30

20

10

30 min(10, 20, 30) = 10

0

0

0

0

Ford & Fulkerson

S

b

a

P

10

40 30

10

20S

b

a

P

10

0 10

0

10

10

S

b

a

P

40

10

20

10

30 min(10, 20, 30) = 10

Ford & Fulkerson

S

b

a

P

10

40 30

10

20S

b

a

P

10

0 10

0

10

10

S

b

a

P

40

10

10

20

10

10

10

Ford & Fulkerson

S

b

a

P

10

40 30

10

20S

b

a

P

10

0 10

0

10

10

S

b

a

P

40

10

10

20

10

10

10

40 20 min(40, 20) = 20

20 30

30

Ford & Fulkerson

S

b

a

P

10

40 30

10

20S

b

a

P

10

20 30

0

10

30

S

b

a

P

20

10

10 10

30

10

20

Ford & Fulkerson

S

b

a

P

10

40 30

10

20S

b

a

P

10

20 30

0

10

30

S

b

a

P

20

10

10 10

30

10

20

20

10

10

min(20, 10, 10) = 10

30

0

10

40

Ford & Fulkerson

S

b

a

P

10

40 30

10

20S

b

a

P

10

30 30

10

0

40

S

b

a

P

10

20

30

10

30

10

Flot maximal / coupe minimale

S

b

a

P

c

d

e

f

82

3

16

6

5

3

4

7

117

6

5

6

Flot maximal / coupe minimale

S

b

a

P

c

d

e

f

5/82/2

3/3

1/16/6

6/6

5/5

3/3

3/4

4/7

11/116/7

4/6

3/5

6/6

27

21

Flot maximal / coupe minimale

S

b

a

P

c

d

e

f

5/82/2

3/3

1/16/6

6/6

5/5

3/3

3/4

4/7

11/116/7

4/6

3/5

6/6

24

21

Flot maximal / coupe minimale

S

b

a

P

c

d

e

f

5/82/2

3/3

1/16/6

6/6

5/5

3/3

3/4

4/7

11/116/7

4/6

3/5

6/6

26

21

Flot maximal / coupe minimale

S

b

a

P

c

d

e

f

5/82/2

3/3

1/16/6

6/6

5/5

3/3

3/4

4/7

11/116/7

4/6

3/5

6/6

21

21

Coupes minimales (graph cuts)

Trucages photo et video

Génération de textures

Inpainting (restauration)

Segmentation d’images 2D et 3D

Reconstruction de formes 3D

Stéréovision