Difference between revisions of "Cross correlation matrix"

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(Created page with "Category:classification Category:PCA The cross correlation matrix (often called ''ccmatrix'' in ''Dynamo'' jargon) of a set of ''N'' particles is an ''N X N'' matrix....")
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Revision as of 10:35, 19 April 2016


The cross correlation matrix (often called ccmatrix in Dynamo jargon) of a set of N particles is an N X N matrix. Each entry (i,j) represents the similarity of particles i and j in the data set.

Definition of similarity

This similarity of particles i and j measured in terms of the normalized cross correlation of the the two aligned particles, filtered to their common fourier components, and restricted to a region in direct space (indicated by a classification mask). The pseudo code will run as: % read particle i -> Pi % rotate and shift particles i % create the missing wedge of particle % rotate missing wedge of particles i RiWi % compute Fourier coefficients common to Cij


Input of a ccmatrix

Computation of ccmatrix

Application of a ccmatrix