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

Multichannel Restoration with Limited a priori Information

M.J. Vrhel, M. Unser

IEEE Transactions on Image Processing, vol. 8, no. 4, pp. 527-536, April 1999.

We introduce a method for multichannel restoration of images in which there is severely limited knowledge about the undegraded signal, and possibly the noise. We assume that we know the channel degradations and that there will be a significant noise reduction in a postprocessing stage in which multiple realizations are combined. This post-restoration noise reduction is often performed when working with micrographs of biological macromolecules. The restoration filters are designed to enforce a projection constraint upon the entire system. This projection constraint results in a system which provides an oblique projection of the input signal into the subspace defined by the reconstruction device in a direction orthogonal to a space defined by the channel degradations and the restoration filters. The approach achieves noise reduction without distorting the signal by exploiting the redundancy of the measurements. 

@ARTICLE(http://bigwww.epfl.ch/publications/vrhel9901.html,
AUTHOR="Vrhel, M.J. and Unser, M.",
TITLE="Multichannel Restoration with Limited {\textit{a priori}}
	Information",
JOURNAL="{IEEE} Transactions on Image Processing",
YEAR="1999",
volume="8",
number="4",
pages="527--536",
month="April",
note="")

© 1999 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.