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

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2124))

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.

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© 2001 Springer-Verlag Berlin Heidelberg

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Krzyžánek, V., Samek, O., Reichelt, R. (2001). Images of Imperfectly Ordered Motifs: Properties, Analysis, and Reconstruction. In: Skarbek, W. (eds) Computer Analysis of Images and Patterns. CAIP 2001. Lecture Notes in Computer Science, vol 2124. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44692-3_71

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  • DOI: https://doi.org/10.1007/3-540-44692-3_71

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42513-7

  • Online ISBN: 978-3-540-44692-7

  • eBook Packages: Springer Book Archive

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