1. Antialiasing
Dr. Scott Schaefer

2. What is aliasing?

3. What is aliasing?

4. What is aliasing?

5. What is aliasing?

6. Why Does Aliasing Exist?
Nyquist Limit: Must sample more than twice the maximum frequency

7. Why Does Aliasing Exist?
Nyquist Limit: Must sample more than twice the maximum frequency

8. Why Does Aliasing Exist?
Nyquist Limit: Must sample more than twice the maximum frequency

9. Why Does Aliasing Exist?
Nyquist Limit: Must sample more than twice the maximum frequency

10. Why Does Aliasing Exist?
Nyquist Limit: Must sample more than twice the maximum frequency

11. Why Does Aliasing Exist?
Nyquist Limit: Must sample more than twice the maximum frequency

12. Why Does Aliasing Exist?
Nyquist Limit: Must sample more than twice the maximum frequency

13. Why Does Aliasing Exist?
Nyquist Limit: Must sample more than twice the maximum frequency

14. Aliasing in Computer Graphics
Polygons
Textures

15. Aliasing in Computer Graphics
Polygons
Textures

16. Aliasing in Computer Graphics
Polygons
Textures

17. Aliasing in Computer Graphics
Polygons
Textures

18. Aliasing in Computer Graphics
Polygons
Textures

19. Aliasing in Computer Graphics
Polygons
Textures

20. Aliasing in Computer Graphics
Polygons
Textures

21. Removing Aliasing Two options:
Filter out high-frequencies after drawing
Filter out high-frequencies before drawing

22. Multisampling
Sample multiple times per pixel

23. Multisampling
Sample multiple times per pixel
2x2 Grid

24. Multisampling
Sample multiple times per pixel
Rotated Grid

25. Multisampling
Sample multiple times per pixel
4x4 Checker

26. Multisampling
Sample multiple times per pixel
8 Rooks

27. Coverage Sampling Antialiasing
Full pixel samples (shader) are too expensive
Sample color and coverage separately

28. Texture Filtering

29. Texture Filtering

30. Removing High Frequencies

31. Removing High Frequencies

32. Removing High Frequencies
Fourier

33. Removing High Frequencies
Fourier

34. Removing High Frequencies
Fourier

35. Filtering

36. Filtering
Fourier

37. Filtering
Fourier

38. Filtering
Fourier

39. The Ideal Filter… Not So Ideal

40. The Ideal Filter… Not So Ideal
Negative values

41. The Ideal Filter… Not So Ideal
Infinite support

42. Common Filters
Filter
Fourier Transform
Box

43. Common Filters
Filter
Fourier Transform
blurring
Box

44. Common Filters
Filter
Fourier Transform
aliasing
Box

45. Common Filters
Filter
Fourier Transform
Tent

46. Common Filters
Filter
Fourier Transform
Lanczos 3

47. Filtering Images

48. Filtering Images

49. Filtering Images

50. Mipmapping: Realtime Filtering

51. Mipmapping: Realtime Filtering

52. Mipmapping: Realtime Filtering

53. Mipmapping: Realtime Filtering

54. Mipmapping: Realtime Filtering

55. Mipmapping: Realtime Filtering

56. Mipmapping: Realtime Filtering

57. Mipmapping: Realtime Filtering

58. Mipmapping: Realtime Filtering

59. Mipmapping: Realtime Filtering

60. Mipmapping: Realtime Filtering

61. Mipmapping: Realtime Filtering

62. Anisotropic Filtering

63. Anisotropic Filtering

64. Anisotropic Filtering

65. Anisotropic Filtering

66. Mipmapping

67. Anisotropic Mipmapping

68. Analytic Antialiasing

69. Analytic Antialiasing

70. Simple Analytic Antialiasing

71. Simple Analytic Antialiasing

72. Simple Analytic Antialiasing

73. Analytic Antialiasing

74. Analytic Antialiasing

76. Morphological Antialiasing