1. 1 Dr. Scott Schaefer Antialiasing

2. 2/70 What is aliasing?

3. 3/70 What is aliasing?

4. 4/70 What is aliasing?

5. 5/70 What is aliasing?

6. 6/70 Why Does Aliasing Exist? Nyquist Limit: Must sample more than twice the maximum frequency

7. 7/70 Why Does Aliasing Exist? Nyquist Limit: Must sample more than twice the maximum frequency

8. 8/70 Why Does Aliasing Exist? Nyquist Limit: Must sample more than twice the maximum frequency

9. 9/70 Why Does Aliasing Exist? Nyquist Limit: Must sample more than twice the maximum frequency

10. 10/70 Why Does Aliasing Exist?

11. Nyquist Limit: Must sample more than twice the maximum frequency 11/70 Why Does Aliasing Exist?

12. Nyquist Limit: Must sample more than twice the maximum frequency 12/70 Why Does Aliasing Exist?

13. Nyquist Limit: Must sample more than twice the maximum frequency 13/70 Why Does Aliasing Exist?

14. 14/70 Aliasing in Computer Graphics Polygons Textures

15. 15/70 Aliasing in Computer Graphics Polygons Textures

16. 16/70 Aliasing in Computer Graphics Polygons Textures

17. 17/70 Aliasing in Computer Graphics Polygons Textures

18. 18/70 Aliasing in Computer Graphics Polygons Textures

19. 19/70 Aliasing in Computer Graphics Polygons Textures

20. 20/70 Aliasing in Computer Graphics Polygons Textures

21. 21/70 Removing Aliasing Two options:  Filter out high-frequencies after drawing  Filter out high-frequencies before drawing

22. 22/70 Multisampling Sample multiple times per pixel

23. 23/70 Multisampling Sample multiple times per pixel 2x2 Grid

24. 24/70 Multisampling Sample multiple times per pixel Rotated Grid

25. 25/70 Multisampling Sample multiple times per pixel 4x4 Checker

26. 26/70 Multisampling Sample multiple times per pixel 8 Rooks

27. 27/70 Coverage Sampling Antialiasing Full pixel samples (shader) are too expensive Sample color and coverage separately

28. 28/70 Texture Filtering

29. 29/70 Texture Filtering

30. Removing High Frequencies 30/70

31. Removing High Frequencies 31/70

32. Removing High Frequencies 32/70 Fourier

33. Removing High Frequencies 33/70 Fourier

34. Removing High Frequencies 34/70 Fourier

35. Filtering 35/70

36. Filtering 36/70 Fourier

37. Filtering 37/70 Fourier

38. Filtering 38/70 Fourier

39. The Ideal Filter… Not So Ideal 39/70

40. The Ideal Filter… Not So Ideal 40/70 Negative values

41. The Ideal Filter… Not So Ideal 41/70 Infinite support

42. Common Filters 42/70 FilterFourier Transform Box

43. Common Filters 43/70 FilterFourier Transform Box blurring

44. Common Filters 44/70 FilterFourier Transform Box aliasing

45. Common Filters 45/70 FilterFourier Transform Tent

46. Common Filters 46/70 FilterFourier Transform Lanczos 3

47. 47/70 Filtering Images

48. 48/70 Filtering Images

49. 49/70 Filtering Images

50. 50/70 Mipmapping: Realtime Filtering

51. 51/70 Mipmapping: Realtime Filtering

52. 52/70 Mipmapping: Realtime Filtering

53. 53/70 Mipmapping: Realtime Filtering

54. 54/70 Mipmapping: Realtime Filtering

55. 55/70 Mipmapping: Realtime Filtering 1.Pick 2 images closest to filter size at runtime. 2.Linearly interpolate within each image to approximate translation 3.Linearly interpolate between images to approximate scale

56. Mipmapping: Realtime Filtering 56/70

57. Mipmapping: Realtime Filtering 57/70

58. 58/70 Anisotropic Filtering

59. 59/70 Anisotropic Filtering

60. 60/70 Anisotropic Filtering

61. 61/70 Anisotropic Filtering

62. Mipmapping 62/70

63. Anisotropic Mipmapping 63/70

64. 64/70 Analytic Antialiasing

65. 65/70 Analytic Antialiasing

66. Simple Analytic Antialiasing 66/70

67. Simple Analytic Antialiasing 67/70

68. Simple Analytic Antialiasing 68/70

69. Analytic Antialiasing 69/70

70. Analytic Antialiasing 70/70

71. 71

72. 72

73. Applying Filters to Images 73/70

74. 74/70 Morphological Antialiasing