Title :
VOW: Variance-optimal wavelets for the steerable pyramid
Author :
Pad, Pedram ; Uhlmann, Virginie ; Unser, Michael
Author_Institution :
Biomed. Imaging Group (BIG), Ecole Polytech. Fed. de Lausanne (EPFL), Lausanne, Switzerland
Abstract :
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.
Keywords :
image processing; wavelet transforms; VOW; image-processing task localization; isotropic wavelet frames; steerable pyramid; variance-optimal wavelets; variance-type measure; variation calculus; Approximation methods; Image edge detection; Image reconstruction; Optimization; PSNR; Wavelet transforms; Isotropic wavelets; localization; steerable pyramid;
Conference_Titel :
Image Processing (ICIP), 2014 IEEE International Conference on
Conference_Location :
Paris
DOI :
10.1109/ICIP.2014.7025601
