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mjb – February 24, 2019
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The Science of PixarAt the Oregon Museum of Science and Industry (OMSI)
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𝑳 𝑷,𝒅𝟎, 𝝀 𝑬 𝑷,𝒅𝟎,𝝀 + 𝑳 𝑷,𝒅𝒊,𝝀 𝒇 𝝀,𝒅𝒊,𝒅𝟎𝜴 )(𝒅𝒊 · 𝒏 𝒅𝜴
P
P
Ωdi
d0
The Rendering Equation
LightArriving
LightDeparting
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𝑩 𝒙,𝒅𝟎, 𝝀 𝑬 𝑷,𝒅𝟎, 𝝀 + 𝑩 𝒙,𝒅𝒊,𝝀 𝒇 𝒙, 𝝀,𝒅𝒊,𝒅𝟎𝜴 )(𝒅𝒊 · 𝒏 𝒅𝜴
The Rendering Equation
In plain language, this is a simultaneous-equation energy balance:
“The light shining from the point P is the reflection of the incoming light directed to the point P from all of the other points in the scene.”
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𝑳 𝒙,𝒅𝟎,𝝀 𝑬 𝑷,𝒅𝟎,𝝀 + 𝑳 𝒙,𝒅𝒊,𝝀 𝒇 𝒙, 𝝀,𝒅𝒊,𝒅𝟎𝜴 )(𝒅𝒊 · 𝒏 𝒅𝜴
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The Science of PixarAt the Oregon Museum of Science and Industry (OMSI)
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