“Spectral signal-to-noise ratio”的意思、由来-开放百科全书

词条

Spectral signal-to-noise ratio

释义

Calculation
See also
Notes
References

In applied mathematics, the two-dimensional Spectral signal-to-noise ratio (SSNR) measures the normalised cross-correlation coefficient between several two-dimensional images over corresponding rings in Fourier space as a function of spatial frequency {{harv|Unser|1987}}. It is a multi-particle extension of the Fourier ring correlation (FRC), which is related to the Fourier shell correlation. The SSNR is a popular method for finding the resolution of a class average in cryo-electron microscopy.

Calculation

where is the complex structure Factor for image k for a pixel at radius . It is possible convert the SSNR into an equivalent FRC using the following formula:

Notes

References

{{cite journal

| last = Unser
| first = M. |author2=Trus, B.L. |author3=Steven, A.C.
| title = A New Resolution Criterion Based on Spectral Signal-To-Noise Ratios
| journal = Ultramicroscopy
| volume = 23
| issue = 1
| pages = 39–51
| doi=10.1016/0304-3991(87)90225-7
| year = 1987
| pmid=3660491}}

{{cite journal

| last = Harauz
| first = G.
|author2=M. van Heel
| title = Exact filters for general geometry three dimensional reconstruction
| journal = Optik
| volume = 73
| pages = 146–156
| year = 1986}}

{{cite journal

| last = van Heel
| first = M.
| title = Detection of objects in quantum-noise limited images
| journal = Ultramicroscopy
| volume = 8
| pages = 331–342
| year = 1982
| doi=10.1016/0304-3991(82)90258-3}}

{{cite journal

| last = Saxton
| first = W.O.
|author2=W. Baumeister
| title = The correlation averaging of a regularly arranged bacterial cell envelope protein
| journal = Journal of Microscopy
| volume = 127
| pages = 127–138
| year = 1982
| doi=10.1111/j.1365-2818.1982.tb00405.x}}

{{cite journal

| last = Böttcher
| first = B. |author2=Wynne, S.A. |author3=Crowther, R.A.
| title = Determination of the fold of the core protein of hepatitis B virus by electron microscopy
| journal = Nature
| volume = 386
| pages = 88–91
| doi=10.1038/386088a0
| year = 1997
| pmid = 9052786
| issue = 6620}}

{{cite book

| last = Frank
| first = Joachim
| authorlink = Joachim Frank
| title = Three-Dimnsional Electron Microscopy of Macromolecular Assemblies
| publisher = Oxford University Press
| location = New York
| year = 2006
| pages =
| isbn = 0-19-518218-9 }}

{{cite journal

| title=Fourier shell correlation threshold criteria
| journal=Journal of Structural Biology
| year= 2005
| last= van Heel
| first= M.
|author2=Schatz, M.
| volume=151
| pages=250–262
| doi=10.1016/j.jsb.2005.05.009
| pmid=16125414
| issue=3 }}{{refend}}{{mathapplied-stub}}

4 : Applied mathematics|Engineering ratios|Measurement|Microscopes

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Calculation

See also

Notes

References