Biomedical Imaging GroupSTI
English only   BIG > Publications > Variational Sampling

 Home Page
 News & Events
 Tutorials and Reviews
 Download Algorithms

 All BibTeX References

Generalized Sampling: A Variational Approach

J. Kybic, T. Blu, M. Unser

Proceedings of the Fourth International Conference on Sampling Theory and Applications (SampTA'01), Orlando FL, USA, May 13-17, 2001, pp. 151-154.

We consider the problem of reconstructing a multidimensional and multivariate function ƒ: ℜm → ℜn from the discretely and irregularly sampled responses of q linear shift-invariant filters. Unlike traditional approaches which reconstruct the function in some signal space V, our reconstruction is optimal in the sense of a plausibility criterion J. The reconstruction is either consistent with the measures, or minimizes the consistence error. There is no band-limiting restriction for the input signals. We show that important characteristics of the reconstruction process are induced by the properties of the criterion J. We give the reconstruction formula and apply it to several practical cases.

AUTHOR="Kybic, J. and Blu, T. and Unser, M.",
TITLE="Generalized Sampling: {A} Variational Approach",
BOOKTITLE="Proceedings of the Fourth International Conference on
        Sampling Theory and Applications ({SampTA'01})",
address="Orlando FL, USA",
month="May 13-17,",

© 2001 SampTA. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from SampTA.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.