BIOMEDICAL IMAGING GROUP (BIG)
Laboratoire d'imagerie biomédicale (LIB)

Regularized Interpolation for Noisy Data

S. Ramani, P. Thévenaz, M. Unser

Proceedings of the Fourth IEEE International Symposium on Biomedical Imaging: From Nano to Macro (ISBI'07), Arlington VA, USA, April 12-15, 2007, pp. 612–615.

Interpolation is a vital tool in biomedical signal processing. Although there exists a substantial literature dedicated to noise-free conditions, much less is known in the presence of noise. Here, we document the breakdown of standard interpolation for noisy data and study the performance improvement due to regularized interpolation. In particular, we numerically investigate the Tikhonov (quadratic) regularization. On top of that, we explore non-quadratic regularization and show that this yields further improvements. We derive a novel bounded regularization approach to determine the optimal solution. We justify our claims with experimental results. 

@INPROCEEDINGS(http://bigwww.epfl.ch/publications/ramani0701.html,
AUTHOR="Ramani, S. and Th{\'{e}}venaz, P. and Unser, M.",
TITLE="Regularized Interpolation for Noisy Data",
BOOKTITLE="Proceedings of the Fourth {IEEE} International Symposium on
	Biomedical Imaging: {F}rom Nano to Macro ({ISBI'07})",
YEAR="2007",
editor="",
volume="",
series="",
pages="612--615",
address="Arlington VA, USA",
month="April 12-15,",
organization="",
publisher="",
note="")

© 2007 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.