Spaceballs formulas
All stereological formulas

This equation does not include the terms F2 (area-fraction) and F3 (thickness-fraction) used by Mouton et al. (equation 2, 2002), but includes that information in v (volume sampled).
: Number of sections used
: Intersections counted
: Volume (grid X * grid Y* section thickness)
: Surface area of the sphere
: Section sampling fraction

: Intersection counted

,
: Variance due to noise
: Smoothness class of sampled function

: Variance due to SRS
: Variance due to noise

: Total variance
: Variance due to noise
References
Mouton, P.R., Gokhale, A.M., Ward, N.L., & West, M.J. (2002). Stereological length estimation using spherical probes. Journal of Microscopy, 206(1), 54–64.