Pathtracing technics for Caustics

This slide is made for a seminar in Raytracing Camp 8.
introducts pathtracing technics for Caustics:
- Manifold Exploration
- Manifold Next Event Estimation
- Specular Manifold Sampling
and instance of Shadow Caustics in Blender.

Transcript

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3. Causticsとは？
   Causticsのレンダリング手法と問題点
   Manifold Exploration
   Manifold NEE
   Specular Manifold Sampling
   BlenderのCaustics Rendering
   

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7. https://twitter.com/ykozw88/status/1565215456272990214
   より引用
   

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9. Specular
   

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10. Specular
    

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11. Specular
    密 疎
    

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16. 100spp Reference 10000spp
    

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17. Specular
    Light
    Diffuse
    

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18. Specular
    Diffuse
    Light
    

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19. Specular
    Diffuse
    Light
    

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20. Specular
    Diffuse
    Light
    

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21. Specular
    Diffuse
    Light
    

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22. Specular
    Diffuse
    Light
    

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25. https://twitter.com/yumcyawiz/status/1472510775856340994
    より引用
    

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45. 𝑆 = 𝑥1
    , 𝑥2
    , 𝑥3
    , 𝑥4
    , 𝑥5
    ∈ 𝑃 𝑥2
    𝑥3
    + 𝑥3
    𝑥4
    ∥ 𝑁(𝑥3
    )}
    Specularの条件
    

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46. 𝑆 = 𝑥1
    , 𝑥2
    , 𝑥3
    , 𝑥4
    , 𝑥5
    ∈ 𝑃 𝑥2
    𝑥3
    + 𝑥3
    𝑥4
    ∥ 𝑁(𝑥3
    )}
    Specularの条件
    

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48. 法線n
    ハーフベクトルh
    正しくない
    法線n
    ハーフベクトルh
    正しい
    

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49. 法線 n
    ハーフベクトルh
    投影したh
    正しくない
    法線 n
    ハーフベクトルh
    正しい
    

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52. 𝑆 = ҧ
    𝑥 𝐶 ҧ
    𝑥 = 0}
    

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76. Light
    Diffuse
    Specular
    𝑥𝑑
    

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77. Light
    Diffuse
    Specular
    𝑥𝑑
    𝑥𝑙
    

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78. Light
    Diffuse
    Specular
    𝑥𝑑
    𝑥𝑙
    𝑥𝑠
    SeedPath
    

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79. Light
    Diffuse
    Specular
    𝑥𝑑
    𝑥𝑙
    𝑥𝑠
    

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80. Light
    Diffuse
    Specular
    𝑥𝑑
    𝑥𝑙
    𝑥𝑠
    𝐶 ҧ
    𝑥 = 0
    

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81. Light
    Diffuse
    Specular
    𝑥𝑑
    𝑥𝑙
    𝑥𝑠
    SeedPath
    Admissible Path
    

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85. Light
    Diffuse
    Specular
    𝑥𝑑
    𝑥𝑙
    

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86. Light
    Diffuse
    Specular
    𝑥𝑑
    𝑥𝑙
    𝑋1
    𝑋2
    𝑌
    

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87. Light
    Diffuse
    Specular
    𝑥𝑑
    𝑥𝑙
    𝑋1
    𝑋2
    𝑌
    

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88. Light
    Diffuse
    Specular
    𝑥𝑑
    𝑥𝑙
    𝑋1
    𝑋2
    𝑌
    

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89. Light
    Diffuse
    Specular
    𝑥𝑑
    𝑥𝑙
    𝑋1
    𝑋2
    𝑌
    

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90. Light
    Diffuse
    Specular
    𝑥𝑑
    𝑥𝑙
    𝑋1
    𝑌
    

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91. Light
    Diffuse
    Specular
    𝑥𝑑
    𝑥𝑙
    𝑋1
    𝑌
    

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92. Light
    Diffuse
    Specular
    𝑥𝑑
    𝑥𝑙
    𝑌
    

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93. Light
    Diffuse
    Specular
    𝑥𝑑
    𝑥𝑙
    𝑌
    

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94. Light
    Diffuse
    Specular
    𝑥𝑑
    𝑥𝑙
    𝑌
    

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97. Light
    Diffuse
    Specular
    𝑥𝑑
    𝑥𝑙
    𝑥𝑠
    𝑥𝑠
    (𝜉1
    , 𝜉2) = ([0,1),[0,1))
    𝜉1
    , 𝜉2
    で移動する
    

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98. Light
    Diffuse
    Specular
    𝑥𝑑
    𝑥𝑙
    𝑋1
    𝑋2
    𝑌
    

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99. Light
    Diffuse
    Specular
    𝑥𝑑
    𝑥𝑙
    𝑋1
    𝑋2
    𝑌
    

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104. 𝑧3 − 1 = 0のニュートンフラクタル
     

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105. 𝑧3 − 1 = 0のニュートンフラクタル
     

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132. https://youtu.be/Popg7ej4AUU
     Beautiful Results From 30 Years Of Light Transport Simulation!
     

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134. https://www.blender.org/download/releases/3-2/
     

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