In general, this integral could be difficult to solve exactly. Will we have to use numerical integration techniques whenever we want L2 norms, or will most of our functions have integrals that are easy to compute?
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Numerical integration is very common in graphics, in part because we often do not have nice smooth functions for phenomena we represent or measure.
In general, this integral could be difficult to solve exactly. Will we have to use numerical integration techniques whenever we want L2 norms, or will most of our functions have integrals that are easy to compute?
Numerical integration is very common in graphics, in part because we often do not have nice smooth functions for phenomena we represent or measure.