Lecture 13: Global Illumination and Path Tracing (37)

tigreezy

Could someone explain the operator K? I understand that we want to calculate the light that is being reflected and transmitted at a certain point but how exactly do the two operators work on L_o?

Zyy7390

First T works on Lo to transform it into Li, then R works on the result of previous transformation to give the final function. Operators are just linearly transforming functions in the same way as matrices linearly transform vectors.

Jordanwyli

^ exactly yeah, and to add on to that, by definition, K is a composition operator, which means that it is actually composed of at least two linear operators that can be expressed separately.

Could someone explain the operator K? I understand that we want to calculate the light that is being reflected and transmitted at a certain point but how exactly do the two operators work on L_o?

First T works on Lo to transform it into Li, then R works on the result of previous transformation to give the final function. Operators are just linearly transforming functions in the same way as matrices linearly transform vectors.

^ exactly yeah, and to add on to that, by definition, K is a composition operator, which means that it is actually composed of at least two linear operators that can be expressed separately.