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Light Transport in Tissue Monte Carlo Method The drawback to using Equation (A.2) to determine generating function for a particular distribution is that solving for the random variable x in terms of R is difficult. A second method, similar to the way integration is done stochastically, is to generate pairs of random numbers. A point R1 is generated such that R1 is uniformly distributed over the interval (a,b) and R2 over the interval from 0 to the maximum value that the function p takes on in (a,b). If p(R1)>R2 (A14) then then R1 is the new random variable. Otherwise new points R1 and R2 are generated until the condition (A.14) is satisfied. The speed of this technique depends on how many unsatisfactory points R1 and R2 must be discarded until a good pair is obtained [6].

S. A. Prahl."Light Transport in Tissue," PhD thesis, University of Texas at Austin, 1988.