InvitedTalkUnser2012

Chair for Computer Aided Medical Procedures & Augmented Reality
Lehrstuhl für Informatikanwendungen in der Medizin & Augmented Reality

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Invited Talk by Prof. Michael Unser: A spline framework for tomographic image reconstruction

Michael Unser

Prof. Michael Unser
Director of Biomedical Imaging Group
EPFL, Lausanne

  • Date: Friday, November 23, 2012
  • Time: 15:30 - 17:00
  • Location: IMETUM Hörsaal 1.126, Garching

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

WebEventForm
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.
Imageurl: unser.jpg
Type: News
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