Rotationally Invariant Image Representation for Viewing Direction Classification in Cryo-EM

@article{Zhao2014RotationallyII,
  title={Rotationally Invariant Image Representation for Viewing Direction Classification in Cryo-EM},
  author={Z. Zhao and A. Singer},
  journal={Journal of structural biology},
  year={2014},
  volume={186 1},
  pages={
          153-66
        }
}
  • Z. Zhao, A. Singer
  • Published 2014
  • Computer Science, Medicine, Biology, Chemistry
  • Journal of structural biology
  • We introduce a new rotationally invariant viewing angle classification method for identifying, among a large number of cryo-EM projection images, similar views without prior knowledge of the molecule. Our rotationally invariant features are based on the bispectrum. Each image is denoised and compressed using steerable principal component analysis (PCA) such that rotating an image is equivalent to phase shifting the expansion coefficients. Thus we are able to extend the theory of bispectrum of… CONTINUE READING
    Mahalanobis distance for class averaging of cryo-EM images
    • 6
    • Open Access
    Orientation Determination from Cryo-EM images Using Least Unsquared Deviation
    • 40
    • Open Access
    Fast Steerable Principal Component Analysis
    • 37
    • Open Access
    Orthogonal matrix retrieval in cryo-electron microscopy
    • 18
    • Open Access
    A Representation Theory Perspective on Simultaneous Alignment and Classification
    • 14
    • Open Access
    Steerable ePCA: Rotationally Invariant Exponential Family PCA
    • 1
    • Open Access
    Algorithms for Image Restoration and 3D Reconstruction from Cryo-EM Images
    • 1
    • Highly Influenced
    • Open Access

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 64 REFERENCES
    Viewing Angle Classification of Cryo-Electron Microscopy Images Using Eigenvectors
    • 67
    • Open Access
    Orientation Determination from Cryo-EM images Using Least Unsquared Deviation
    • 40
    • Open Access
    Three-Dimensional Structure Determination from Common Lines in Cryo-EM by Eigenvectors and Semidefinite Programming
    • 145
    • Open Access
    Center of Mass Operators for Cryo-EM—Theory and Implementation
    • 4
    Fourier-Bessel rotational invariant eigenimages
    • 41
    • Open Access
    A clustering approach to multireference alignment of single-particle projections in electron microscopy.
    • 165
    • Highly Influential
    • Open Access