Probability and the Random IFS Algorithm

Very roughly speaking, the probability pi of applying Ti is the fraction of the whole attractor A occupied by Ti(A).

The area contraction factor of Ti is

Ai = risi(cos(θi)cos(φi) + sin(θi)sin(φi))

(This is just the determinant of the matrix formulation of Ti.)

Note that if θi = φi, the area contraction factor simplifies to

Ai = risi

Then the probability is given by

pi = Ai/(A1 + ... + AN)

Return to Probability and the Random IFS Algorithm.