Abstract
We report on a study of images with imperfectly ordered motifs (distorted 2D lattices). Our aim was to study the Fourier transform properties of the images according to the Fourier transform of perfect lattices and to improve methods for analysis of continuously distorted 2D lattices and techniques for 2D reconstruction. For this purpose, the locally normalized correlation is used in the method of correlation averaging. In order to reduce the image distortion the function of the distortion is approximated step by step by the Lagrange interpolation polynomials. The modi_cation of the methods is demonstrated on electron micrographs of the S-layers of di_erently prepared Cyanobacteria.
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Krzyžánek, V., Samek, O., & Reichelt, R. (2001). Images of imperfectly ordered motifs: Properties, analysis, and reconstruction. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2124, pp. 589–600). Springer Verlag. https://doi.org/10.1007/3-540-44692-3_71
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