211311
20190213064601.0
ARTICLE
Non-Euclidean Pyramids
2000
SPIE
2000
Journal Articles
We propose to design the reduction operator of an image pyramid so as to minimize the approximation error in the $ l _{ p } $ sense (not restricted to the usual p = 2), where p can take non-integer values. The underlying image model is specified using arbitrary shift-invariant basis functions such as splines. The solution is determined by an iterative optimization algorithm, based on digital filtering. Its convergence is accelerated by the use of first and second derivatives. For p = 1, our modified pyramid is robust to outliers; edges are preserved better than in the standard case where p = 2. For 1 < p < 2, the pyramid decomposition combines the qualities of $ l _{ 1 } $ and $ l _{ 2 } $ approximations. The method is applied to edge detection and its improved performance over the standard formulation is determined.
eng
Muñoz Barrutia, A.
Blu, T.
115589
240171
Unser, M.
115227
240182
710–720
San Diego CA, USA
Proceedings of the SPIE Conference on Mathematical Imaging: Wavelet Applications in Signal and Image Processing VIII
URL
http://bigwww.epfl.ch/publications/munoz0002.html
URL
http://bigwww.epfl.ch/publications/munoz0002.pdf
URL
http://bigwww.epfl.ch/publications/munoz0002.ps
LIB
252054
U10347
oai:infoscience.tind.io:211311
article
GLOBAL_SET
STI
EPFL-ARTICLE-211311
munoz0002/LIB
EPFL
PUBLISHED
REVIEWED
ARTICLE