Light field: Difference between revisions

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{{main | Wikipedia: Light field}}
{{main | Wikipedia: Light field}}
A light field describes all light in a scene.   
A light field describes all light in a scene.   
Given a position <math>(x,y,z)</math> and angle <math>(\theta, \phi)</math> describing a ray, the 5D function <math>L(x,y,z,\theta,\phi)</math> is the radiance at that point.
Given a position <math>(x,y,z)</math> in 3D and angle <math>(\theta, \phi)</math> describing a ray, the 5D ''plenoptic'' function <math>L(x,y,z,\theta,\phi)</math> defines the radiance at that point. The radiance we represent as an RGB value in <math>\mathbb{R}^3</math>.


For reasonable scenes, the radiance is consistent along the ray so light fields are actually 4D functions.   
For many scenes, we can assume the air is transparent so that the radiance is consistent along the ray
You can create a 4D parameterization using a two plane parameterization or a (plane, angle) parameterization to define each ray.
In these situations, light fields can be reduced to 4D functions defined only on rays in some enclosed scene.   
You can create a 4D parameterization using a two plane parameterization, typically represented as <math>(s,t,u,v)</math> or a (plane, angle) parameterization to define each ray.


==Representations==
==Representations==