Invited Talk by Prof. Michael Unser: A spline framework for tomographic image reconstruction
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Prof. Michael Unser Director of Biomedical Imaging Group EPFL, Lausanne
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A spline framework for tomographic image reconstruction
"Think analog, act digital" is a motto that is relevant to scientific computing and algorithm design in a variety of the disciplines, including numerical analysis, and signal processing. Here, we shall argue that cardinal splines constitute a theoretical and computational framework that is ideally suited for image reconstruction and the derivation of image processing algorithms in general. We highlight a number of "optimal" aspects of splines (in particular, polynomial ones) and discuss fundamental relations with: (1) Shannon's sampling theory, (2) differential operators, (3) wavelet theory, (4) regularization theory, and (5) computed tomography. In particular, we present a general calculus that yields explicit formulas for the Radon transform of box splines and allows for a proper discretization of 2-D and 3-D tomographic reconstruction problems.Biography of Prof. Michael Unser: click here
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| Title: | Invited talk by Prof. Unser, EPFL: A spline framework for tomographic image reconstruction |
| Date: | 23 November 2012 |
| Location: | IMETUM Hörsaal 1.126 |
| Abstract: | As part of the tum.reconstruction series of invited talks, Prof. Michael Unser from EPFL, Lausanne, will present a talk titled: A spline framework for tomographic image reconstruction. |
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| Type: | News |
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