Direction-dependency of binary tomographic reconstruction algorithms

In this work we study the relation between the quality of a binary tomographic reconstruction and the choice of angles of the projections. We conduct experiments on a set of software phantoms by reconstructing them from different projection sets using three different discrete tomography reconstruction algorithms, and compare the accuracy of the corresponding reconstructions with suitable approaches. To validate our results for possible real-world applications, we conduct the experiments by adding random noise of different characteristics to the simulated projection data, and by applying small topological changes on the phantom images as well. In addition, we also discuss some consequences of the angle-selection dependency and possible practical applications arising from the field of non-destructive testing, too.

Figure optionsDownload as PowerPoint slideHighlights
► Reconstruction algorithms in discrete tomography can work with 2–10 projections.
► There is a high freedom in placing the projections.
► Some projection contain more information than other ones.
► Choosing the right projections can greatly improve the quality of reconstruction.