EPFL
 Biomedical Imaging GroupSTI
EPFL
  Publications
English only   BIG > Publications > Generalized Sampling


 CONTENTS
 Home Page
 News & Events
 People
 Publications
 Tutorials and Reviews
 Research
 Demos
 Download Algorithms

 DOWNLOAD
 PDF
 Postscript
 All BibTeX References

Generalized Sampling: A Variational Approach—Part II: Applications

J. Kybic, T. Blu, M. Unser

IEEE Transactions on Signal Processing, vol. 50, no. 8, pp. 1977-1985, August 2002.



The variational reconstruction theory from a companion paper finds a solution consistent with some linear constraints and minimizing a quadratic plausibility criterion. It is suitable for treating vector and multidimensional signals. Here, we apply the theory to a generalized sampling system consisting of a multichannel filterbank followed by a nonuniform sampling. We provide ready-made formulas, which should permit application of the technique directly to problems at hand.

We comment on the practical aspects of the method, such as numerical stability and speed. We show the reconstruction formula and apply it to several practical examples, including new variational formulation of derivative sampling, landmark warping, and tomographic reconstruction.


@ARTICLE(http://bigwww.epfl.ch/publications/kybic0202.html,
AUTHOR="Kybic, J. and Blu, T. and Unser, M.",
TITLE="Generalized Sampling: {A} Variational Approach---{P}art {II}:
        {A}pplications",
JOURNAL="{IEEE} Transactions on Signal Processing",
YEAR="2002",
volume="50",
number="8",
pages="1977--1985",
month="August",
note="")

© 2002 IEEE. 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 IEEE.
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.