EPFL
 Biomedical Imaging GroupSTI
EPFL
  Publications
English only   BIG > Publications > Laplacian Pyramids


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

 DOWNLOAD
 PDF
 Postscript
 All BibTeX References

Fractional Laplacian Pyramids

R. Delgado-Gonzalo, P.D. Tafti, M. Unser

Proceedings of the 2009 IEEE International Conference on Image Processing (ICIP'09), Cairo, Egypt, November 7-11, 2009, pp. 3809-3812.



We provide an extension of the L2-spline pyramid (Unser et al., 1993) using polyharmonic splines. We analytically prove that the corresponding error pyramid behaves exactly as a multi-scale Laplace operator. We use the multiresolution properties of polyharmonic splines to derive an efficient, non-separable filterbank implementation. Finally, we illustrate the potentials of our pyramid by performing an estimation of the parameters of multivariate fractal processes.


@INPROCEEDINGS(http://bigwww.epfl.ch/publications/delgadogonzalo0902.html,
AUTHOR="Delgado-Gonzalo, R. and Tafti, P.D. and Unser, M.",
TITLE="Fractional Laplacian Pyramids",
BOOKTITLE="Proceedings of the 2009 {IEEE} International Conference on
        Image Processing ({ICIP'09})",
YEAR="2009",
editor="",
volume="",
series="",
pages="3809--3812",
address="Cairo, Egypt",
month="November 7-11,",
organization="",
publisher="",
note="")

© 2009 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.