Review paper Image Algebra for Electron Images

Abstract

Résumé. 2014 Une partie toujours en augmentation des algorithmes utilisés dans le traitement des images a été exprimée à l'aide de l'algèbre de l'image. Les aspects de cette algèbre les plus intéressants pour l'optique électronique sont présentés et son adoption systématique est prônée.Abstract . 2014 An ever-increasing proportion of the algorithms employed in image processing are being translated into the language of image algebra. The aspects of this algebra of particular interest in electron optics are presented and the advantages of adopting it as a lingua franca are described.

Some trends in microscope image processing

“…As an example, he shows that the different possible representations of a multivalued image can be used as alternatives to standard techniques for multivariate statistical analysis. Hawkes (1995aHawkes ( , 1998) presents a review of image algebra for electron images and shows that all known image processing operations (divided into four classes: image acquisition and coding, enhancement, restoration and analysis) can be described using the framework and notations of image algebra. Hawkes (1995b) shows that the very specific images which can be recorded with a STEM are in fact templates and can be processed as such within the framework of image algebra.…”

Image Analysis: Is the Fourier Transform Becoming Obsolete?

“…However, the difficulty is in the representation of the results, which are four-dimensional (two dimensions for the real space and two dimensions for the local reciprocal space). The "object" created resembles the templates introduced in image algebra [28,29]. For (Fig.…”