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IN302 – Chapitre 4

IN302 – Chapitre 4. Flots et réseaux de transport. Réseaux de transport. Réseau de transport. a. 10. 10. 20. S. P. 40. 30. b. Flot ?. a. a. 10. 10. 20. 20. 20. 10. S. P. S. P. 40. 30. 20. 20. b. b. Flot ?. a. a. 10. 10. 20. 20. 20. 10. S. P. S. P. 40.

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IN302 – Chapitre 4

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  1. IN302 – Chapitre 4 Flotset réseaux de transport

  2. Réseaux de transport

  3. Réseau de transport a 10 10 20 S P 40 30 b

  4. Flot ? a a 10 10 20 20 20 10 S P S P 40 30 20 20 b b

  5. Flot ? a a 10 10 20 20 20 10 S P S P 40 30 20 20 b b

  6. Flot ? a a 10 10 20 10 20 10 S P S P 40 30 20 30 b b

  7. Flot a a 10 10 20 10 20 10 S P S P 40 30 20 30 b b 40

  8. Flot compatible a a 10 10 10 0 20 10 S P S P 40 30 20 30 b b 30

  9. Flot compatible a a 10 10 10 0 20 10 S P S P 40 30 20 30 b b 30 Ce flot est-il maximal ?

  10. Flot compatible maximal a a 10 10 10 10 20 0 S P S P 40 30 30 30 b b 40

  11. a 10 10 S P 20 b Réseau d’écart a a 10 10 10 0 20 10 S P S P 40 30 20 30 b b 30

  12. Réseau d’écart a a 10 10 10 0 20 10 S P S P 40 30 20 30 b b a 10 10 30 10 10 S P 20 30 20 b

  13. a 0 0 0 S P 0 0 b a 10 10 10 0 20 20 S P 30 30 40 b Ford & Fulkerson a 10 10 20 S P 40 30 b min(10, 20, 30) = 10

  14. Ford & Fulkerson a a 10 10 10 0 0 20 10 0 S P S P 40 30 0 10 0 b b a 10 10 10 0 20 S P 30 min(10, 20, 30) = 10 40 b

  15. a 10 10 10 10 S P 10 20 40 b Ford & Fulkerson a a 10 10 10 0 20 10 S P S P 40 30 0 10 b b 10

  16. 20 40 Ford & Fulkerson a a 10 10 10 0 20 10 S P S P 40 30 20 0 10 30 b b a 10 10 30 10 10 10 S P 10 20 min(40, 20) = 20 40 b

  17. a 10 10 10 10 S P 20 30 20 b Ford & Fulkerson a a 10 10 10 0 20 10 S P S P 40 30 20 30 b b 30

  18. 10 10 20 Ford & Fulkerson a a 10 10 10 0 10 20 10 0 S P S P 40 30 20 30 30 b b a 10 30 40 10 10 10 S P 20 30 min(20, 10, 10) = 10 20 b

  19. a 20 S P 10 b Ford & Fulkerson a a 10 10 10 10 20 0 S P S P 40 30 30 30 b b 40 10 10 30 30

  20. Flot maximal / coupe minimale a 3 2 e 8 5 11 b 7 6 4 S P 6 3 6 f c 5 7 6 1 d

  21. Flot maximal / coupe minimale a 3/3 2/2 e 5/8 5/5 11/11 b 6/7 6/6 3/4 S P 6/6 3/3 4/6 f c 3/5 4/7 6/6 1/1 27 d 21

  22. Flot maximal / coupe minimale a 3/3 2/2 e 5/8 5/5 11/11 b 6/7 6/6 3/4 S P 6/6 3/3 4/6 f c 3/5 4/7 6/6 1/1 24 d 21

  23. Flot maximal / coupe minimale a 3/3 2/2 e 5/8 5/5 11/11 b 6/7 6/6 3/4 S P 6/6 3/3 4/6 f c 3/5 4/7 6/6 1/1 26 d 21

  24. Flot maximal / coupe minimale a 3/3 2/2 e 5/8 5/5 11/11 b 6/7 6/6 3/4 S P 6/6 3/3 4/6 f c 3/5 4/7 6/6 1/1 21 d 21

  25. Coupes minimales (graph cuts)

  26. Trucages photo et video

  27. Génération de textures

  28. Inpainting (restauration)

  29. Segmentation d’images 2D et 3D

  30. Reconstruction de formes 3D

  31. Stéréovision

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