Physically Based Shading - Realtime Rendering CH9
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Physically Based Shading - Realtime Rendering CH9
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Physically Based Shading - Realtime Rendering CH9
- 1. ITM-4B A0661106 Realtime Rendering CH9 PhysicallyBasedShading
- 2. Let the form of an object be what it may, —light, shade, and perspective will always make it beautiful. — John Constable
- 3. Realtime Rendering CH9 Light Shading Process Shading Model Material Blending 1 2 3 4 5 PhysicallyBasedShading
- 10. Light Unpolarized PhysicallyBasedShading Light 1 2 3 4 5 t Linearly Polarized l ? Light Polarized
- 11. Light 1 2 3 4 5 Light is modeled as an Electromagnetic Transverse Wave K E B PhysicallyBasedShading
- 12. K PhysicallyBasedShading Light 1 2 3 4 5 λ Wavelength λ Electric Field Magnetic Field E B Magnetic Vector B Electric Vector E Energy Transfer Direction Light is modeled as an Electromagnetic Transverse Wave
- 13. K PhysicallyBasedShading Light 1 2 3 4 5 λ Wavelength λ Electric Field Magnetic Field E B Electric Vector E Magnetic Vector B Energy Transfer Direction Light waves carry Energy
- 15. PhysicallyBasedShading Light 1 2 3 4 5 Light waves carry Energy Frequency Wavelength Light Speed Period Angular Frequency Wavenumber Refractive Index
- 16. PhysicallyBasedShading Light 1 2 3 4 5 Light waves carry Energy Frequency Wavelength Light Speed Period Angular Frequency Wavenumber Refractive Index Wave Impedance Irradiance Time Spatial Position
- 17. Linearly Polarized Light Unpolarized PhysicallyBasedShading Light 1 2 3 4 5 tl ! Light Polarized
- 22. PhysicallyBasedShading Light 1 2 3 4 5 a n Constructive Interference Destructive Interference Incoherent Addition Linearly Combined
- 29. θb Surfaces PhysicallyBasedShading Light 1 2 3 4 5 λa = λb na nb = na nb θa sin( ) sin( ) Surface A Surface B λa λb na nb Reflection R e f r a c t i o n θa θb θa λa
- 31. Surface Scattering PhysicallyBasedShading Light 1 2 3 4 5 Reflection Surface A Surface B R e f r a c t i o n
- 32. Surface Scattering PhysicallyBasedShading Light 1 2 3 4 5 Reflection Surface A Surface B R e f r a c t i o n Reflections Surface A Surface B Refractions
- 33. Surface A Surface B Surface Scattering PhysicallyBasedShading Light 1 2 3 4 5 Reflections Refractions
- 34. Surface A Surface B Subsurface Scattering PhysicallyBasedShading Light 1 2 3 4 5 Reflections Refractions Surface A Surface B
- 36. PhysicallyBasedShading Shading Process 1 2 3 4 5 Pinhole Camera Radiance View Ray Camera Position
- 40. PhysicallyBasedShading Shading Process 1 2 3 4 5 BRDF l View Ray Vector v Light Vector l Camera C Radiance View Ray Camera Position
- 41. PhysicallyBasedShading Shading Process 1 2 3 4 5 BRDF l View Ray Vector v Light Vector l Camera C Radiance View Ray Camera Position Radiance Intersection Point p
- 42. PhysicallyBasedShading Shading Process 1 2 3 4 5 Radiance View Ray Camera Position Radiance Intersection Point BRDF l View Ray Vector v Light Vector l Camera C p
- 43. PhysicallyBasedShading Shading Process 1 2 3 4 5 BRDF l View Ray Vector v Camera C Light Vector l Surface Normal n Incident Light Reflected Light Irradiance Radiance
- 44. PhysicallyBasedShading Shading Process 1 2 3 4 5 BRDF l View Ray Vector v Camera C Light Vector l Surface Normal n Incident Light Reflected Light Irradiance Radiance I : Prevent case which under the surface II : Helmholtz Reciprocity III : Conservation of Energy
- 45. Incident Light Reflected Light Irradiance Radiance l Light Vector l Camera C p PhysicallyBasedShading Shading Process 1 2 3 4 5 BRDF l View Ray Vector v Camera C Light Vector l Surface Normal n Radiance View Ray Camera Position Radiance Intersection Point
- 46. Incident Light Reflected Light Irradiance Radiance l Light Vector l Camera C p PhysicallyBasedShading Shading Process 1 2 3 4 5 BRDF l View Ray Vector v Camera C Light Vector l Surface Normal n Radiance View Ray Camera Position Radiance Intersection Point Reflectance Equation
- 47. PhysicallyBasedShading Shading Process 1 2 3 4 5 BRDF l View Ray Vector v Camera C Light Vector l Surface Normal n Radiance Intersection Point
- 48. PhysicallyBasedShading Shading Process 1 2 3 4 5 BRDF View Ray Vector v Light Vector l Surface Normal n Tangent Normal t Radiance Intersection Point Input Radiance i Output Radiance o Output Vector o Input Vector i
- 49. PhysicallyBasedShading Shading Process 1 2 3 4 5 BRDF Surface Normal n Tangent Normal t Radiance Intersection Point Input Radiance i Output Radiance o Output Vector o Input Vector i θi θo ϕo ϕi
- 50. PhysicallyBasedShading Shading Process 1 2 3 4 5 BRDF Surface Normal n Tangent Normal t Radiance Intersection Point Input Radiance i Output Radiance o Output Vector o ϕi ϕo Input Vector i θi θo
- 51. PhysicallyBasedShading Shading Process 1 2 3 4 5 BRDF Surface Normal n Tangent Normal t Radiance Intersection Point Input Radiance i Output Radiance o Output Vector o ϕi ϕo Input Vector i θi θo BRDF
- 52. PhysicallyBasedShading Shading Process 1 2 3 4 5 Directional-Hemispherical Re f lectance Tangent Normal t Input Radiance i Output Radiance o Output Vector o ϕi ϕo Input Vector i θi θo
- 53. PhysicallyBasedShading Shading Process 1 2 3 4 5 l View Ray Vector v Camera C Light Vector l Surface Normal n Radiance Intersection Point Directional-Hemispherical Re f lectance
- 54. PhysicallyBasedShading Shading Process 1 2 3 4 5 l View Ray Vector v Camera C Light Vector l Surface Normal n Directional-Hemispherical Re f lectance Reflectance Equation
- 55. PhysicallyBasedShading Shading Process 1 2 3 4 5 Directional-Hemispherical Re f lectance Hemispherical-Directional Re f lectance View Ray Entire Hemisphere
- 65. PhysicallyBasedShading Shading Process 1 2 3 4 5 Illumination Light Vector Light Color Prevent Negative
- 67. PhysicallyBasedShading Shading Model 1 2 3 4 5 Fresnel Re f lectance Surface A Surface B Surface Normal n Light Normal l n ∙ l l′  ri 2(n ∙ l)n
- 68. PhysicallyBasedShading Shading Model 1 2 3 4 5 Fresnel Re f lectance Surface A Surface B Surface Normal n Light Normal l n ∙ l l′  ri 2(n ∙ l)n ri = 2(n ∙ l)n − l
- 75. PhysicallyBasedShading Shading Model 1 2 3 4 5 Fresnel Re f lectance Distinct of Colors Surface Normal n elll
- 76. PhysicallyBasedShading Shading Model 1 2 3 4 5 Fresnel Re f lectance Without Fresnel Reflectance With Fresnel Reflectance Comparison
- 78. PhysicallyBasedShading Shading Model 1 2 3 4 5 F(θi) Fresnel Re f lectance External Reflectance F(0∘ ) F(90∘ ) Surface Normal n Incident i Normal Incidence
- 79. PhysicallyBasedShading Shading Model 1 2 3 4 5 Fresnel Re f lectance External Reflectance F(θi) F(n, l) ≈ F0 + (1 − F0)(1 − (n ∙ l)+ )5 - >
- 80. Fresnel Re f lectance PhysicallyBasedShading Shading Model 1 2 3 4 5 Glass Copper Aluminum External Reflectance
- 81. Fresnel Re f lectance 75° PhysicallyBasedShading Shading Model 1 2 3 4 5 75° 75° Glass Copper Aluminum External Reflectance θi sin(θi)
- 82. sin(θi) Fresnel Re f lectance PhysicallyBasedShading Shading Model 1 2 3 4 5 75° 75° 75° sin(θi) External Reflectance
- 83. Foreshortened Fresnel Re f lectance PhysicallyBasedShading Shading Model 1 2 3 4 5 e View Ray Vector v Surface Normal n1 Surface Normal n2 θ1 θ2 sin(θ1) sin(θ2)
- 84. Dielectric Materials & Values Fresnel Re f lectance PhysicallyBasedShading Shading Model 1 2 3 4 5 F(0∘ )
- 85. Metal Materials & Values Fresnel Re f lectance PhysicallyBasedShading Shading Model 1 2 3 4 5 F(0∘ )
- 86. Substance Materials & Values Fresnel Re f lectance PhysicallyBasedShading Shading Model 1 2 3 4 5 F(0∘ )
- 87. Fresnel Re f lectance PhysicallyBasedShading Shading Model 1 2 3 4 5 Water F0 = ( n1 − n2 n1 + n2 ) 2
- 90. Fresnel Re f lectance PhysicallyBasedShading Shading Model 1 2 3 4 5 Parameterizing F(0) - > Specular Diffuse ρss - > Color Csurf - > Not Matel Matel 1 0 m
- 91. Fresnel Re f lectance PhysicallyBasedShading Shading Model 1 2 3 4 5 Parameterizing F(0) - > Specular Diffuse ρss - > Color Csurf - > m Not Matel Matel 1 0 #000000
- 92. Fresnel Re f lectance PhysicallyBasedShading Shading Model 1 2 3 4 5 Parameterizing Specular Diffuse Color m Not Matel Matel 1 0 Dielectric F(0) - > ρss - > Csurf - >
- 96. PhysicallyBasedShading Shading Model 1 2 3 4 5 Fresnel Re f lectance Internal Reflectance sin(θc) = n1 n2 = ( 1 − F0 1 + F0 ) 2
- 106. PhysicallyBasedShading Shading Model 1 2 3 4 5 NDF ∫m∈Θ D(m)(n ∙ m)dm Microfacet Normals D(m) Surface Normal n View Ray Vector v Surface Normal n
- 107. PhysicallyBasedShading Shading Model 1 2 3 4 5 NDF ∫m∈Θ D(m)(n ∙ m)dm Microfacet Normals D(m) = 1 Surface Normal n View Ray Vector v Surface Normal n
- 108. PhysicallyBasedShading Shading Model 1 2 3 4 5 NDF ∫m∈Θ D(m)(n ∙ m)dm Microfacet Normals D(m) = v ∙ n Surface Normal n View Ray Vector v Surface Normal n (n ∙ m) ∫m∈Θ
- 109. PhysicallyBasedShading Shading Model 1 2 3 4 5 NDF View Ray Vector v Surface Normal n Masking Function ∫m∈Θ = v ∙ n Distribution of Visible Normals (n ∙ m) D(m) G1(m, v)
- 110. PhysicallyBasedShading Shading Model 1 2 3 4 5 NDF G1(m, v) = χ+ (m ∙ v) 1 + Λ(v) χ+ (x) = { 1, where x > 0, 0, where x ≤ 0. Positive Characteristic Function Masking Function
- 111. PhysicallyBasedShading Shading Model 1 2 3 4 5 micro-BRDF Lo(l, v) = ∫l∈Ω fr(l, v)Li(l)(n ∙ l)dl BRDF BRDF fr(l, v) = ∫m∈Ω fμ(l, v, m)G2(l, v, m)D(m) (m ∙ l)+ |n ∙ l| (m ∙ v)+ |n ∙ v| dm micro-BRDF Joint Masking-Shadowing Function
- 112. Masking Function PhysicallyBasedShading Shading Model 1 2 3 4 5 micro-BRDF BRDF fr(l, v) = ∫m∈Ω fμ(l, v, m)G2(l, v, m)D(m) (m ∙ l)+ |n ∙ l| (m ∙ v)+ |n ∙ v| dm micro-BRDF Joint Masking-Shadowing Function G2(l, v, m) = G1(v ∙ m)G1(l ∙ m)
- 114. PhysicallyBasedShading Material 3 4 5 1 2 BRDF Models for Surface Re f lection Light Vector l Half Vector h View Ray Vector v le αh αh micro-BRDF
- 115. PhysicallyBasedShading Material 3 4 5 1 2 fspec(l, v) = F(h, l)G2(l, v, h)D(h) 4|n ∙ l||n ∙ v| BRDF Models for Surface Re f lection
- 118. PhysicallyBasedShading Material 3 4 5 1 2 Beckmann NDF D(m) = χi (n ∙ m) πα2 b(n ∙ m)4 exp ( (n ∙ m)2 − 1 a2 b(n ∙ m)2 )