Images of Imperfectly Ordered Motifs: Properties, Analysis, and Reconstruction

  • Authors:

  • Vladislav Krzyzánek;Ota Samek;Rudolf Reichelt

  • Affiliations:

  • -;-;-

  • Venue:
  • CAIP '01 Proceedings of the 9th International Conference on Computer Analysis of Images and Patterns
  • Year:
  • 2001

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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 modification of the methods is demonstrated on electron micrographs of the S-layers of differently prepared Cyanobacteria.