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The Computer Journal Advance Access originally published online on April 12, 2007
The Computer Journal 2009 52(1):31-42; doi:10.1093/comjnl/bxm007
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© The Author 2007. Published by Oxford University Press on behalf of The British Computer Society. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Optimal Registration Of Aliased Images Using Variable Projection With Applications To Super-Resolution

Dirk Robinson1,*, Sina Farsiu2 and Peyman Milanfar2

1 Ricoh Innovations Inc., 2882 Sand Hill Rd, Suite 115, Menlo Park, CA 94025, USA
2 Electrical Engineering Department, University of California Santa Cruz, Santa Cruz, CA 95064, USA

* Corresponding author: dirkr{at}rii.ricoh.com

Received 14 May 2006; revised 25 October 2006

Accurate registration of images is the most important and challenging aspect of multiframe image restoration problems such as super-resolution. The accuracy of super-resolution algorithms is quite often limited by the ability to register a set of low-resolution images. The main challenge in registering such images is the presence of aliasing. In this paper, we analyse the problem of jointly registering a set of aliased images and its relationship to super-resolution. We describe a statistically optimal approach to multiframe registration which exploits the concept of variable projections to achieve very efficient algorithms. Finally, we demonstrate how the proposed algorithm offers accurate estimation under various conditions when standard approaches fail to provide sufficient accuracy for super-resolution.

Key Words: Multi-frame motion estimation • variable projection • super-resolution • aliasing


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