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convergence compare with the naive algorithm that multiplies b by all of F at
each step.
Exercise 31.3: Final gathering in photon mapping involves sampling from the
hemisphere at a point P where we're trying to estimate field radiance. As we move
from point to point, our varying choice of samples will introduce noise into the
estimates. Argue both for and against a strategy in which we choose, once and for
all, a fixed collection of directions to use in the final gathering step.
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