Courses are together with exams the building blocks for modules. Please keep in mind that information on the contents, learning outcomes and, especially examination conditions are given on the module level only – see section "Assignment to Modules" above.
| additional remarks |
Introduction and examples of inverse problems; vector spaces; definition of inverse problem; well-posedness according to Hadamard; injection, surjection, bijection of functions; Null-space and range space of operators; linear inverse problems; eigenvalue problem; decomposition theorem; singular value decomposition; inverse methods based on length; least squares and determinancy; minimum length; the generalized inverse; nonlinear inverse problems; regularization methods and comparison of different classes; Computed Tomography; Radon transform; backprojection; Fourier-slice theorem; filtered backprojection; deconvolution methods. |
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TUMonline entry
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