SOFTWARE

IMRTOPT

• Deterministic and Multiobjective Evolutionary Intensity Modulated Beam Radiotherapy Dose Optimization (Inverse Planning) Source Code

WINOPT-HDR

• Deterministic and Multiobjective Evolutionary HDR Brachytherapy Dose Optimization (Demo Executable)

Quasi-Random Numbers (Low Discrepancy sequences)

A quasirandom or low discrepancy sequence, such as the Faure, Halton, Hammersley, Niederreiter or Sobol sequences, is less random than a pseudorandom number sequence, but more useful for such tasks as approximation of integrals in higher dimensions, and in global optimization. This is because low discrepancy sequences tend to sample space more uniformly than random numbers. Algorithms that use such sequences have superior convergence.

• Faure Sequences

• Niederreiter Sequences

• Sobol Sequences

• Halton Sequences

• Hammersley Sequences

• Van der Corput Sequences

• Centroidal Voronoi Tessellation

• Computation of bounds on the star discrepancy of an M-dimensional pointset

Computational Diagram

• Voronoi Diagram

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