Is it possible to bake from the point of view of the render camera? As I understand, when we bake an image it is baked as if the camera is on top of each face. Thus, if I have a material that uses the Layer Weight -> Facing value in Cycles Render, this would not work as expected for the baked image.

See example below:



My question is, is it possible to simulate a similar effect as if I wanted to bake from the point of view of the render camera? If not, any ideas to achieve a result that is close to the rendered view above?
You can calculate the dot product between the Geometry -> Normal and a Vector -> Normal that you specify. It will give you a similar effect, ranging from -1 for surfaces pointing away, 0 for tangential surfaces, and to 1 for surfaces facing towards the specified normal.