MSD is a measure of the displacement over a certain interval of time, used for instance to analyze trajectories and tell if it's ballistic, diffusive, sub-diffusive, etc.
To compute MSD, all the possible time intervals within the trajectory need to be considerer. The simplest way uses nested loops :
the first loop runs over the time points, the other loop runs over the possible interval from each time point.
Thoses nested loops are a nightmare for fast computation, especially for long trajectories.
Kehl suppresses the loops, and computes all the squared distance at once, then sorts and averages them out.
引用格式
maxime (2024). Kehl, a fast (no loop) method to compute MSD (https://www.mathworks.com/matlabcentral/fileexchange/41858-kehl-a-fast-no-loop-method-to-compute-msd), MATLAB Central File Exchange. 检索来源 .
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