By Topic

p-multiresolution analysis: how to reduce ringing and sparsify the error

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
A. Munoz ; Biomed. Imaging Group, Swiss Fed. Inst. of Technol. Lausanne, Switzerland ; T. Blu ; M. Unser

We propose to design the reduction operator of an image pyramid so as to minimize the approximation error in the p-sense (not restricted to the usual p=2), where p can take noninteger values. The underlying image model is specified using shift-invariant basis functions, such as B-splines. The solution is well-defined and determined by an iterative optimization algorithm based on digital filtering. Its convergence is accelerated by the use of first and second order derivatives. For p close to 1, we show that the ringing is reduced and that the histogram of the detail image is sparse as compared with the standard case, where p=2.

Published in:

IEEE Transactions on Image Processing  (Volume:11 ,  Issue: 6 )