Print ISSN: 1681-6900

Online ISSN: 2412-0758


An Improve Differential Box Counting Method to Estimate Fractal Dimension

N.M.G. Alsaidi; W.J. Abdulaal

Engineering and Technology Journal, 2015, Volume 33, Issue 4, Pages 714-722

The mathematical concept that used to measure the complexity of the fractal sets is known as fractal dimension. It is considered as a global feature for fractal images. Many methods have been proposed to estimate this value according to object nature. Differential Box Counting method is one of the most important methods used to estimate the dimension of gray scale image. In this paper, we proposed a new method based on the aggregate gray level values in the image. The results of the experiments show an improvement over the traditional DBC method.

An Improved Key Agreement Protocol Based on Fractal Theory

Nadia M. G. Al-Saidi

Engineering and Technology Journal, 2014, Volume 32, Issue 1, Pages 127-137

A key agreement protocol is a key establishment technique which enables two or more communicating parities to agree on a key or exchange information over an open communication channel. Due to the complicated mathematical structure and deterministic nature of the fractal functions that meet the cryptographic requirements, and taking the security threats and privacy issues into consideration, a new key agreement protocol based on Iterated Function Systems (IFS) is proposed to provide techniques and tools that may be useful for developing cryptographic protocols. The proposed protocol is a generalization of the Diffie Hellman (DH) protocol. It is designed to overcome some of the drawbacks of several previously proposed key agreement protocols. The experimental results and security analysis shows that the proposed scheme provides an essential security requirement, where their efficiency makes it easier to be applied alone or hybrid with other security methods.