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Fast and Robust Orientation of Cryo-Electron Microscopy Images

Guoliang XuXia WangMing LiZhucui Jing — 2015

Molecular Based Mathematical Biology

We present an efficient and reliable algorithm for determining the orientations of noisy images obtained fromprojections of a three-dimensional object. Based on the linear relationship among the common line vectors in one image plane, we construct a sparse matrix, and show that the coordinates of the common line vectors are the eigenvectors of the matrix with respect to the eigenvalue 1. The projection directions and in-plane rotation angles can be determined fromthese coordinates. A robust computation...

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