The Statistics menu option Errors and differences > Eroded data fraction computes the eroded data fraction value μe for all selected field quantities. For each selected quantity, a single result object is created. Each result object is a field vector that contains the eroded data fraction at each mesh position. Only active samples are used as inputs.

For quantity Y, number of active samples N, sample index i, and mesh position k, the eroded data fraction is the mean value of the missing data items:

where the function M(Yi) is an indicator function for missing data.

It returns a field vector that is 1 for all missing positions in the mesh and 0 for all existing mesh values.

Usage

The eroded data fraction denotes the probability of element erosion at a specific mesh position.