A Linear Image Reconstruction Framework Based on Sobolev Type Inner Products

Authors:
Bart Janssen;Frans Kanters;Remco Duits;Luc Florack;Bart Ter Romeny
Affiliations:
Eindhoven University of Technology, Eindhoven, The Netherlands 5600 MB;Eindhoven University of Technology, Eindhoven, The Netherlands 5600 MB;Eindhoven University of Technology, Eindhoven, The Netherlands 5600 MB;Eindhoven University of Technology, Eindhoven, The Netherlands 5600 MB;Eindhoven University of Technology, Eindhoven, The Netherlands 5600 MB
Venue:
International Journal of Computer Vision
Year:
2006

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Abstract

Exploration of information content of features that are present in images has led to the development of several reconstruction algorithms. These algorithms aim for a reconstruction from the features that is visually close to the image from which the features are extracted. Degrees of freedom that are not fixed by the constraints are disambiguated with the help of a so-called prior (i.e. a user defined model). We propose a linear reconstruction framework that generalizes a previously proposed scheme. The algorithm greatly reduces the complexity of the reconstruction process compared to non-linear methods. As an example we propose a specific prior and apply it to the reconstruction from singular points. The reconstruction is visually more attractive and has a smaller 驴2-error than the reconstructions obtained by previously proposed linear methods.