Image analysis using the direct exponential curve resolution algorithm

摘要

A method of enhancing a series of images comprising the steps of: providing x digital image files, each image file including a matrix of n rows×m columns of pixels; producing a matrix of the x digital image files of x rows of m×n pixels per row, where each row is an unfolded image of an x digital image; splitting the produced matrix into two data sets A and B, each data set with an equal amount of images less than x; applying singular value decomposition (SVD) to data set A and limiting the SVD space to a number of expected components; calculating the projections A.sup.p and B.sup.p of data set A and data set B into the SVD space of A, with the eigenvalues of the SVD representing the projection of A; calculating the eigenvalues and eigenvectors of the product of A.sup.p and the inverse of B.sup.p ; and transforming the results of the latter calculation back to the original data set and calculating the resolved images and their contributions into the original images.