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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> | 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 | 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== |