Fourier shell correlation

In applied mathematics, the three-dimensional Fourier shell correlation (FSC) measures the normalised cross correlation coefficient between two 3-dimensional volumes over corresponding shells in Fourier space, i.e., as a function of spatial frequency^[1]. The half-bit criterion indicates at which resolution we have collected enough information to reliably interpret the 3-dimensional volume, and the (modified) 3-sigma criterion indicates where the FSC systematically emerges above the expected random correlations of the background noise^[2].

References

^ Harauz, George; van Heel, Marin (1986). "Exact filters for general geometry three dimensional reconstruction". Optik. 78: 146–156.
^ van Heel, Marin; Schatz, Michael (2005). "Fourier shell correlation threshold criteria". Journal of Structural Biology. 151: 250–262.

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[1] Harauz, George; van Heel, Marin (1986). "Exact filters for general geometry three dimensional reconstruction". Optik. 78: 146–156.

[2] van Heel, Marin; Schatz, Michael (2005). "Fourier shell correlation threshold criteria". Journal of Structural Biology. 151: 250–262.

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