A new wavelet-based measure of image focus

Authors:
Jaroslav Kautsky;Jan Flusser;Barbara Zitová;Stanislava Simberová
Affiliations:
Department of Mathematics and Statistics, Flinders University of South Australia, GPO Box 2100, Adelaide, SA 5001, Australia;Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Pod vodárenskou vezí 4, 18208 Prague 8, Czech Republic;Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Pod vodárenskou vezí 4, 18208 Prague 8, Czech Republic;Astronomical Institute, Academy of Sciences of the Czech Republic, 25165 Ondrejov, Czech Republic
Venue:
Pattern Recognition Letters
Year:
2002

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Abstract

We present a new measure of image focus. It is based on wavelet transform of the image and is defined as a ratio of high-pass band and low-pass band norms. We show this measure is monotonic with respect to the degree of defocusation and sufficiently robust. We experimentally illustrate its performance on simulated as well as real data and compare it with existing focus measures (gray-level variance and energy of Laplacian). Finally, an application of the new measure in astronomical imaging is shown.