Representation theoretic patterns in three-dimensional cryo-electron microscopy. II: The class averaging problem

DOI10.1007/s10208-011-9095-3zbMath1231.92046arXiv1104.1131OpenAlexW2163925177WikidataQ36459002 ScholiaQ36459002MaRDI QIDQ660675

Ronny Hadani, Amit Singer

Publication date: 4 February 2012

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1131

zbMATH Keywords

spectral theorydifferential geometrymathematical biologyoptimization theory3D cryo-electron microscopy

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Computational methods for problems pertaining to biology (92-08)

Related Items (9)

Approximate and discrete Euclidean vector bundles ⋮ Vector diffusion maps and the connection Laplacian ⋮ Embedding Riemannian manifolds by the heat kernel of the connection Laplacian ⋮ Distributed methods for synchronization of orthogonal matrices over graphs ⋮ Cohomology of Cryo-Electron Microscopy ⋮ Graph connection Laplacian and random matrices with random blocks ⋮ Spectral convergence of the connection Laplacian from random samples ⋮ Representation theoretic patterns in three dimensional cryo-electron microscopy. I: The intrinsic reconstitution algorithm ⋮ Toward a spectral theory of cellular sheaves

Cites Work

• The Mathematics of Computerized Tomography
• Three-Dimensional Structure Determination from Common Lines in Cryo-EM by Eigenvectors and Semidefinite Programming
• Viewing Angle Classification of Cryo-Electron Microscopy Images Using Eigenvectors
• Unnamed Item

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