مهندسی برق و الکترونیک ایران, Volume (12), No (3), Year (2015-11) , Pages (1-15)

Title : ( On Analytical Study of Self-Affine Maps )

Authors: Mahdi Saadatmand , Hasan Ghassemian ,

Citation: BibTeX | EndNote

Abstract

Self-affine maps were successfully used for edge detection, image segmentation, and contour extraction. They belong to the general category of patch-based methods. Particularly, each self-affine map is defined by one pair of patches in the image domain. By minimizing the difference between these patches, the optimal translation vector of the self-affine map is obtained. Almost all image processing methods, developed by using self-affine maps, take advantage of either the attracting or repelling behaviors which have been, only, experimentally investigated. In this paper, we analytically study the properties of self-affine maps and prove their attracting and repelling behaviors. Furthermore, the new corner/edge pointing behavior is also proposed for contractive self-affine maps. We show that the conventional cost function of self-affine maps may cause critical uncertainty due to providing multiple equivalent optimal translation vectors. Thus, a new cost function is suggested to effectively tackle this problem. For evaluation, it is used with the self-affine snake (SAS) for contour extraction. Experimental results demonstrated that the enhanced SAS provides better performance compared to a number of different active contour methods in terms of both solution quality and CPU time.

Keywords

, Patch-Based Image Processing, Self-Affine Map, Analytical Study, Image Segmentation, Contour Extraction
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@article{paperid:1044696,
author = {Saadatmand, Mahdi and Hasan Ghassemian},
title = {On Analytical Study of Self-Affine Maps},
journal = {مهندسی برق و الکترونیک ایران},
year = {2015},
volume = {12},
number = {3},
month = {November},
issn = {1735-7152},
pages = {1--15},
numpages = {14},
keywords = {Patch-Based Image Processing; Self-Affine Map; Analytical Study; Image Segmentation; Contour Extraction},
}

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%0 Journal Article
%T On Analytical Study of Self-Affine Maps
%A Saadatmand, Mahdi
%A Hasan Ghassemian
%J مهندسی برق و الکترونیک ایران
%@ 1735-7152
%D 2015

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