A new transformation method for follow-up coordinate system is used and a matrix equation for transforming spatial transporting coordinate of scattering photons is given. The equation has recursion form and only relates to multiplication and will not lead to overflow in calculation. The equation is applied to Monte Carlo simulation in the light propagation in bio-tissues. The results show it can effectively save CPU time and improve simulation efficiency. The results are also in good agreement with the results from the traditional method.
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