Correction to: A source biasing and variance reduction technique for Monte Carlo radiation transport modeling of emission tomography problems

A probability-conserving cross-section biasing mechanism for variance reduction in Monte Carlo particle transport calculations

In Monte Carlo particle transport codes, it is often important to adjust reaction cross sections to reduce the variance of calculations of relatively rare events, in a technique known as non-analogous Monte Carlo. We present the theory and sample code for a Geant4 process which allows the cross section of a G4VDiscreteProcess to be scaled, while adjusting track weights so as to mitigate the eff...

Planar and SPECT Monte Carlo acceleration using a variance reduction technique in I131 imaging

Background: Various variance reduction techniques such as forced detection (FD) have been implemented in Monte Carlo (MC) simulation of nuclear medicine in an effort to decrease the simulation time while keeping accuracy. However most of these techniques still result in very long MC simulation times for being implemented into routine use. Materials and Methods: Convolution-based force...

planar and spect monte carlo acceleration using a variance reduction technique in i131 imaging

background: various variance reduction techniques such as forced detection (fd) have been implemented in monte carlo (mc) simulation of nuclear medicine in an effort to decrease the simulation time while keeping accuracy. however most of these techniques still result in very long mc simulation times for being implemented into routine use. materials and methods: convolution-based forced detectio...

Monte Carlo Integration and Variance Reduction

Variance Reduction in Monte Carlo Device Simulation by Means of Event Biasing

ABSTRACT A theoretical analysis of the Monte Carlo (MC) method for the solution of the stationary boundary value problem defined by the Boltzmann equation is briefly outlined. This analysis clearly shows how event biasing can be used within the well-known One-Particle MC method. To enhance statistics in sparsely populated regions of interest, artificial carrier heating is introduced by increasi...