Visualisation, processing and analysis of tomographic data

This chapter discusses methods for image segmentation and image processing particularly useful for 3D images of materials and structures, and analysis methods developed for extracting the spatial structural information from tomographic data. The intrinsic volumes and their densities are introduced as basic and versatile geometric characteristics of image objects and image components or segments, respectively. An efficient algorithm for their measurement is described. Covariances and correlations are investigated using spectral methods. The chapter concludes with a survey of visualization techniques and an introduction to the simulation of materials behaviour based on CT data and computing of macroscopic properties.