Journal of Visual Communication and Image Representation, Volume (34), No (1), Year (2015-10) , Pages (65-77)

Title : ( Iterative Wedgelet Transform: An efficient algorithm for computing wedgelet representation and approximation of images )

Authors: vahid kiani , Ahad Harati , Abedin Vahedian Mazloum ,

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The most common method to compute wedgelet transform is based on exhaustive search which requires assessment of all wedgelet atoms and hence is prohibitively slow. In this paper, the discontinuous edge model of the wedgelet is replaced by a continuous differentiable model to make gradient based estimation of the edge parameters possible. The proposed estimation based approach contributes to a surprisingly fast algorithm called Iterative Wedgelet Transform, which leads to a better tradeoff between quality and computation speed compared to the existing approaches. Performance of the proposed method is studied in the image approximation task and the results are compared with two other major algorithms, namely classical Wedgelet Transform and Moments-based Wedgelet Transform . The iterative algorithm is shown to be much faster than classical wedgelet transform, O(N2log2N)O(N2log2N) given an N×NN×N image; and compared to the moments-based method exhibits higher precision.

Keywords

, Multiresolution analysis Wedgelets Fast wedgelet transform Non, linear least squares Continuous, domain wedgelet Wedgelet estimation Relaxed wedgelet Image approximation Quad, tree
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@article{paperid:1052740,
author = {Kiani, Vahid and Harati, Ahad and Vahedian Mazloum, Abedin},
title = {Iterative Wedgelet Transform: An efficient algorithm for computing wedgelet representation and approximation of images},
journal = {Journal of Visual Communication and Image Representation},
year = {2015},
volume = {34},
number = {1},
month = {October},
issn = {1047-3203},
pages = {65--77},
numpages = {12},
keywords = {Multiresolution analysis Wedgelets Fast wedgelet transform Non-linear least squares Continuous-domain wedgelet Wedgelet estimation Relaxed wedgelet Image approximation Quad-tree pruning},
}

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%0 Journal Article
%T Iterative Wedgelet Transform: An efficient algorithm for computing wedgelet representation and approximation of images
%A Kiani, Vahid
%A Harati, Ahad
%A Vahedian Mazloum, Abedin
%J Journal of Visual Communication and Image Representation
%@ 1047-3203
%D 2015

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