title: Spectral signal-to-noise ratio and resolution assessment of 3D reconstructions.
abstract: Measuring the quality of three-dimensional (3D) reconstructed biological macromolecules by transmission electron microscopy is still an open problem. In this article, we extend the applicability of the spectral signal-to-noise ratio (SSNR) to the evaluation of 3D volumes reconstructed with any reconstruction algorithm. The basis of the method is to measure the consistency between the data and a corresponding set of reprojections computed for the reconstructed 3D map. The idiosyncrasies of the reconstruction algorithm are taken explicitly into account by performing a noise-only reconstruction. This results in the definition of a 3D SSNR which provides an objective indicator of the quality of the 3D reconstruction. Furthermore, the information to build the SSNR can be used to produce a volumetric SSNR (VSSNR). Our method overcomes the need to divide the data set in two. It also provides a direct measure of the performance of the reconstruction algorithm itself; this latter information is typically not available with the standard resolution methods which are primarily focused on reproducibility alone.
authors.affiliation: Biomedical Imaging Group, Swiss Federal Institute of Technology Lausanne, CH-1015 Lausanne VD, Switzerland.
authors.forename: M
authors.initials: M
authors.lastname: Unser
authors.forename: C O S
authors.initials: CO
authors.lastname: Sorzano
authors.forename: P
authors.initials: P
authors.lastname: Thévenaz
authors.forename: S
authors.initials: S
authors.lastname: Jonić
authors.forename: C
authors.initials: C
authors.lastname: El-Bez
authors.forename: S
authors.initials: S
authors.lastname: De Carlo
authors.forename: J F
authors.initials: JF
authors.lastname: Conway
authors.forename: B L
authors.initials: BL
authors.lastname: Trus
mesh_terms: D000465:Algorithms; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional; D008433:Mathematics; D008854:Microscopy, Electron; D008962:Models, Theoretical
references.citation: J Struct Biol. 1996 Oct;116(1):237-40
references.pmid: 8812978
references.citation: J Microsc. 1982 Aug;127(Pt 2):127-38
references.pmid: 7120365
references.citation: Nature. 2003 Mar 13;422(6928):216-25
references.pmid: 12634795
references.citation: Nat Struct Biol. 1995 Dec;2(12):1083-94
references.pmid: 8846220
references.citation: J Electron Microsc Tech. 1988 Aug;9(4):359-94
references.pmid: 3058896
references.citation: Nucleic Acids Res. 2000 Jan 1;28(1):235-42
references.pmid: 10592235
references.citation: J Mol Biol. 2003 Oct 31;333(4):721-45
references.pmid: 14568533
references.citation: J Struct Biol. 2002 Jun;138(3):216-26
references.pmid: 12217660
references.citation: Prog Biophys Mol Biol. 2001;75(3):121-64
references.pmid: 11376797
references.citation: J Microsc. 1985 Jul;139(Pt 1):63-74
references.pmid: 4046014
references.citation: Ultramicroscopy. 1998 Apr;72(1-2):53-65
references.pmid: 9561797
references.citation: Q Rev Biophys. 1995 May;28(2):171-93
references.pmid: 7568675
references.citation: Nucleic Acids Res. 2003 Jan 1;31(1):458-62
references.pmid: 12520052
references.citation: Acta Crystallogr D Biol Crystallogr. 2000 Oct;56(Pt 10):1270-7
references.pmid: 10998623
references.citation: Ultramicroscopy. 1994 Mar;53(3):251-70
references.pmid: 8160308
references.citation: Trends Biochem Sci. 2000 Dec;25(12):624-31
references.pmid: 11116190
references.citation: J Struct Biol. 2002 Apr-May;138(1-2):34-46
references.pmid: 12160699
references.citation: Micron. 2001 Jul;32(5):541-50
references.pmid: 11163726
references.citation: IEEE Trans Med Imaging. 1996;15(1):68-78
references.pmid: 18215890
references.citation: Annu Rev Biophys Biomol Struct. 2002;31:303-19
references.pmid: 11988472
references.citation: J Struct Biol. 1993 Nov-Dec;111(3):222-33
references.pmid: 8003383
references.citation: Ultramicroscopy. 1987;23(1):39-51
references.pmid: 3660491
references.citation: Nature. 1994 Oct 13;371(6498):578-86
references.pmid: 7935790
references.citation: Ultramicroscopy. 2003 Jul;96(1):17-35
references.pmid: 12623169