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VOW: Variance-Optimal Wavelets for the Steerable Pyramid

P. Pad, V. Uhlmann, M. Unser

Best student paper award, Proceedings of the 2014 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.

AUTHOR="Pad, P. and Uhlmann, V. and Unser, M.",
TITLE="{VOW}: {V}ariance-Optimal Wavelets for the Steerable Pyramid",
BOOKTITLE="Proceedings of the 2014 {IEEE} International Conference on
        Image Processing ({ICIP'14})",
address="Paris, French Republic",
month="October 27-30,",
note="Best student paper award")

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