Over the past ten years the new subject of discrete tomography has
received considerable interest. Discrete tomography can be applied if it
is known in advance that the object of interest consists of only a few
different materials, each having a constant gray value in the
reconstruction. By using this information as prior knowledge in the
reconstruction algorithm it is often possible to vastly reduce the number
of required projections. In some cases four or five projections are
already sufficient to obtain a high quality reconstruction.
In this talk I will introduce the subject of discrete tomography and
describe several applications, ranging from medical imaging to the
3D reconstruction of nanocrystals at atomic resolution.
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