The weekly exercises will appear here.
The idea of the project work is to study an inverse problem both theoretically and computationally in teams of two students. The end product is a scientific poster that the team will present in a poster sessionin the Industrial Mathematics Laboratory. The poster can be printed using the laboratory's large scale printer. The classical table of contents is recommended for structuring the poster:
2 Materials and methods
Section 2 is for describing the data and the inversion methods used. In section 3 those methods are applied to the data and the results are reported with no interpretation; just facts and outcomes of computations are described. Section 4 is the place for discussing the results and drawing conclusions.
The project is about X-ray tomography. You can measure a dataset yourself in the X-ray facility of the Industrial Mathematics Laboratory:
In the project you are supposed to take a subset of the data with only few projections, such as 20 projection directions. Use one of these methods to recover the walnut slice from sparse data: