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 generalises a previously proposed scheme. As an example we propose a specific prior and apply it to the reconstruction from singular point s. The reconstruction is visually more attractive and has a smaller \(\mathbb{L}_{\rm 2}\)-error than the previously proposed linear methods.
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© 2005 Springer-Verlag Berlin Heidelberg
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Janssen, B., Kanters, F., Duits, R., Florack, L., ter Haar Romeny, B. (2005). A Linear Image Reconstruction Framework Based on Sobolev Type Inner Products. In: Kimmel, R., Sochen, N.A., Weickert, J. (eds) Scale Space and PDE Methods in Computer Vision. Scale-Space 2005. Lecture Notes in Computer Science, vol 3459. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11408031_8
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DOI: https://doi.org/10.1007/11408031_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25547-5
Online ISBN: 978-3-540-32012-8
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