Title
Inverse formulas of length twelve parameterized orthogonal wavelets.
Abstract
Inverse parameterizations of length 12 orthogonal wavelet filters are presented, which allow to determine parameter values from filter coefficients. Its applicability is shown in a case of study of image processing where the optimization of five parameters is required. The parameterization of length N filters involves N/2 - 1 parameters, and it is easier to optimize shorter filters once they explore a subset of the search space. Under this approach, the optimization of length 12 filters is accelerated based on a nested optimization of length 4, 6, 8, and 10 filters by exporting the best solutions from shorter to larger filters via inverse parameterizations. Experimental results support the success of the nested optimization when exploring the search space. The conclusions are that the use of the inverse formulas accelerates the convergence and that parameterized filters provide better results as their length increases and achieve a better performance than standard filters.
Year
DOI
Venue
2019
10.3233/JIFS-179051
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Keywords
Field
DocType
Wavelets,filter parameterization,image processing
Discrete mathematics,Inverse,Parameterized complexity,Algebra,Mathematics,Wavelet
Journal
Volume
Issue
ISSN
36
SP5
1064-1246
Citations 
PageRank 
References 
0
0.34
0
Authors
4