By Anthony A. Apodaca

This can be pretty well the bible for a person who makes use of renderman day-by-day. whether you're not a programmer it is a nice reference for these issues the programmers speak about :)

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Extra resources for Advanced RenderMan: Creating CGI for Motion Pictures

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Just to be complete in our confusion, tangent vectors do transform just like direction vectors. Sigh! 3 Curvature The next, more abstract concept beyond the tangent at a point is the curvature. Just as the tangent measures the slope of a line that touches the object without crossing it (at least, locally), the curvature measures the radius of a circle that hugs the object without crossing it. If the circle is very small, the surface has high curvature; and if the circle is very large, the surface has low curvature.

4 Cameras and Depth of Field Physical cameras have three important parts, a lens system, a lens diaphragm with an adjustable aperture, and film to record the image. The lens system in modern cameras is usually relatively complicated-it magnifies, is typically adjustable in several ways, compensates for certain types of optical distortion, and so on. However, at any given zoom and focus setting, the multielement lens system is effectively equivalent to a single perfect converging lens at some position in the lens barrel.

6. In distilling this relationship into an equation, we take advantage of the fact that the normal vector describes the mirror plane. By looking at relationships of the vectors in the figure, it is pretty easy to tell just by looking that the reflection vector can be computed by for some constant a. Invoking a little trigonometry (and assuming that the vectors N and 1 are normalized), With a little algebra,we can see that But remembering the dot product rule, we can say we conclude that It turns out the equation is the same even if 1 isn't normalized, but it's a little messier if N isn't normalized.

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