VOW: Variance-Optimal Wavelets for the Steerable Pyramid
P. Pad, V. Uhlmann, M. Unser
Best student paper award, Proceedings of the 2014 Twenty-First IEEE International Conference on Image Processing (ICIP'14), Paris, French Republic, October 27-30, 2014, pp. 2973–2977.
We study the issue of localization in the context of isotropic wavelet frames. We define a variance-type measure of localization and propose an algorithm based on calculus of variations to minimize this criterion under the constraint of a tight wavelet frame. Based on these calculations, we design the variance-optimal wavelet (VOW). Finally, we demonstrate the advantage of better localization in a practical image-processing task.
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AUTHOR="Pad, P. and Uhlmann, V. and Unser, M.",
TITLE="{VOW}: {V}ariance-Optimal Wavelets for the Steerable Pyramid",
BOOKTITLE="Proceedings of the 2014 Twenty-First {IEEE} International
Conference on Image Processing ({ICIP'14})",
YEAR="2014",
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pages="2973--2977",
address="Paris, French Republic",
month="October 27-30,",
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note="Best student paper award")
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