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Simple examples:
Choosing emission direction for a mono-energetic point source.
The emission is isotropic and the probability of emission into a solid angle element
dΩ equals the fraction of this solid angle in the 4π geometry so that:
Figure from: Venselaar, Baltas, Meigooni, Hoskin
(Eds), Comprehensive Brachytehrapy: physical and
clinical aspects. CRC Press, Taylor & Francis, © 2013
The MC method …