1. 1

2. 2

3. 3

4. Not ClosedClosed Not Closed 4

5. 5 http://en.wikipedia.org/wiki/Volfied

6. 6

7. 7 www.bilderzucht.de en.wikipedia.org

8. 8 http.developer.nvidia.com

9. 9 what-when-how.com

10. 10

11. 11 Sign generation Contouring

12. 12

13. 13

14. 14

15. 15

16. 16

17. 17

18. Octree EdgeDual Face 18

19. 19

20. 20

21. 21

22. 22

23. Dual FaceOctree Signs 23

24. 24

25. Input Model 25

26. Dual Surface 26

27. Closed Dual Surface 27

28. Output (Marching Cubes) 28

29. Output (Dual Contouring) 29

30. 1. Input 2. DS 3. DS Closed 4. Output Model Courtesy of the Stanford 3D Scanning Repository 30

31. 1. Input2. DS 3. DS Closed 4. Output Model Courtesy of the Stanford 3D Scanning Repository 31

32. Input Output Model Courtesy of the Digital Michelangelo Project 32

33. ModelTrianglesGridTimeMemory Bunny 69,451643.6 sec< 10 MB Horse 80,8051286.0 sec< 10 MB Dragon 871,41425645.2 sec16 MB Buddha 1,087,71610241.3 min28 MB David (2mm) 8,254,15040968.4 min92 MB David (1mm) 56,230,343819253.2 min417 MB 33

34. 34

35. 35

36. 36