Mathematical Methods for Electron Tomography

1. Introduction. 2. The image formation in a transmission electron microscope (TEM). I. TEM data analysis. 3. Image alignment. 4. Estimating imaging parameters. II. Image reconstruction. 5. Overview of general regularization theory. 6. Analytic reconstruction methods. Iterative reconstruction methods. 7. Variational reconstruction methods. 8. Bayesian regularization methods. III. Image processing. 9. Segmentation. 10. Structure recognition and classification. 11. Methods for evaluation of reconstructions. IV. New developments. 12. Mumford-Shah based regularization for simultaeous reconstruction and segmentation. 13. Shape based regularization for simultaneous reconstruction, segmentation and classification.