1 The Science of Pixar At the Oregon Museum of Science and...

6
1/31/2020 1 mjb – February 24, 2019 1 The Science of Pixar At the Oregon Museum of Science and Industry (OMSI) mjb – February 24, 2019 2 mjb – February 24, 2019 3 mjb – February 24, 2019 4 mjb – February 24, 2019 5 mjb – February 24, 2019 6

Transcript of 1 The Science of Pixar At the Oregon Museum of Science and...

1/31/2020

1

mjb – February 24, 2019

1

The Science of PixarAt the Oregon Museum of Science and Industry (OMSI)

mjb – February 24, 2019

2

mjb – February 24, 2019

3

mjb – February 24, 2019

4

mjb – February 24, 2019

5

mjb – February 24, 2019

6

1/31/2020

2

mjb – February 24, 2019

7

mjb – February 24, 2019

8

mjb – February 24, 2019

9

mjb – February 24, 2019

10

mjb – February 24, 2019

11

mjb – February 24, 2019

12

1/31/2020

3

mjb – February 24, 2019

13

mjb – February 24, 2019

14

mjb – February 24, 2019

15

mjb – February 24, 2019

16

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

mjb – February 24, 2019

17

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.”

mjb – February 24, 2019

18

𝑳 𝒙,𝒅𝟎,𝝀 𝑬 𝑷,𝒅𝟎,𝝀 + 𝑳 𝒙,𝒅𝒊,𝝀 𝒇 𝒙, 𝝀,𝒅𝒊,𝒅𝟎𝜴 )(𝒅𝒊 · 𝒏 𝒅𝜴

1/31/2020

4

mjb – February 24, 2019

19

mjb – February 24, 2019

20

mjb – February 24, 2019

21

mjb – February 24, 2019

22

mjb – February 24, 2019

23

mjb – February 24, 2019

24

1/31/2020

5

mjb – February 24, 2019

25

mjb – February 24, 2019

26

mjb – February 24, 2019

27

mjb – February 24, 2019

28

mjb – February 24, 2019

29

mjb – February 24, 2019

30

1/31/2020

6

mjb – February 24, 2019

31

The Science of PixarAt the Oregon Museum of Science and Industry (OMSI)