Spaceballs formulas
Length estimate
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).
- n: Number of sections used
- Qi: Intersection counted
- v: Volume (grid X * grid Y* section thickness)
- a: Surface area of the sphere
Variance due to noise
- Qi: Intersection counted
Variance due to systematic random sampling
,
- s2: Variance due to noise
- m: Smoothness class of sampled function
Total variance
- VARSRS Variance due to SRS
- s2 Variance due to noise
Coefficient of error
- TotalVar: Total variance
- s2: 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.