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Title: A hybrid of fractal image coding and fractal dimension for an efficient retrieval method

Abstract

Fractal image coding (FIC) based on the inverse problem of an iterated function system plays an essential role in several areas of computer graphics and in many other interesting applications. Through FIC, an image can be transformed to compressed representative parameters and be expressed in a simple geometric way. Dealing with digital images requires storing a large number of images in databases, where searching such databases is time consuming. Therefore, finding a new technique that facilitates this task is a challenge that has received increasing attention from many researchers. In this study, a new method that combines fractal dimension (FD) which is an indicator of image complexity with the FIC scheme is proposed. Classifying images in databases according to their texture by using FD helps reduce the retrieval time of query images. The validity of the proposed method is evaluated using geosciences images. Result shows that the method is computationally attractive.

Authors:
 [1];  [2];  [3]
  1. University of Technology, Department of Applied Sciences (Iraq)
  2. Baghdad University, Department of Mathematics, College of Education for pure Sciences, Ibn Al-Haitham (Iraq)
  3. Al-Mustansiriah University, Department of Mathematics, College of Sciences (Iraq)
Publication Date:
OSTI Identifier:
22769362
Resource Type:
Journal Article
Journal Name:
Computational and Applied Mathematics
Additional Journal Information:
Journal Volume: 37; Journal Issue: 2; Other Information: Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0101-8205
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; COMPUTER GRAPHICS; FRACTALS; GEOMETRY

Citation Formats

Al-Saidi, Nadia M. G.,, Al-Bundi, Shaimaa S., E-mail: albundishaimaa@gmail.com, and Al-Jawari, Neseif J., E-mail: njaljawari@hotmail.com. A hybrid of fractal image coding and fractal dimension for an efficient retrieval method. United States: N. p., 2018. Web. doi:10.1007/S40314-016-0378-9.
Al-Saidi, Nadia M. G.,, Al-Bundi, Shaimaa S., E-mail: albundishaimaa@gmail.com, & Al-Jawari, Neseif J., E-mail: njaljawari@hotmail.com. A hybrid of fractal image coding and fractal dimension for an efficient retrieval method. United States. doi:10.1007/S40314-016-0378-9.
Al-Saidi, Nadia M. G.,, Al-Bundi, Shaimaa S., E-mail: albundishaimaa@gmail.com, and Al-Jawari, Neseif J., E-mail: njaljawari@hotmail.com. Tue . "A hybrid of fractal image coding and fractal dimension for an efficient retrieval method". United States. doi:10.1007/S40314-016-0378-9.
@article{osti_22769362,
title = {A hybrid of fractal image coding and fractal dimension for an efficient retrieval method},
author = {Al-Saidi, Nadia M. G., and Al-Bundi, Shaimaa S., E-mail: albundishaimaa@gmail.com and Al-Jawari, Neseif J., E-mail: njaljawari@hotmail.com},
abstractNote = {Fractal image coding (FIC) based on the inverse problem of an iterated function system plays an essential role in several areas of computer graphics and in many other interesting applications. Through FIC, an image can be transformed to compressed representative parameters and be expressed in a simple geometric way. Dealing with digital images requires storing a large number of images in databases, where searching such databases is time consuming. Therefore, finding a new technique that facilitates this task is a challenge that has received increasing attention from many researchers. In this study, a new method that combines fractal dimension (FD) which is an indicator of image complexity with the FIC scheme is proposed. Classifying images in databases according to their texture by using FD helps reduce the retrieval time of query images. The validity of the proposed method is evaluated using geosciences images. Result shows that the method is computationally attractive.},
doi = {10.1007/S40314-016-0378-9},
journal = {Computational and Applied Mathematics},
issn = {0101-8205},
number = 2,
volume = 37,
place = {United States},
year = {2018},
month = {5}
}