FRACTAL DIMENSION ESTIMATION OF RGB COLOR IMAGES USING MAXIMUM COLOR DISTANCE

Author:

ZHAO XIN1,WANG XINGYUAN1

Affiliation:

1. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, P. R. China

Abstract

Natural images exhibit a high degree of complexity, randomness and irregularity in color and texture, however fractal can be an effective tool to describe various irregular phenomena in nature. Fractal dimensions are important because they can be defined in connection with real-world data, and they can be measured approximately by means of experiments. In this paper, we proposed a fractal dimension estimation method for RGB color images. In the proposed method, we present a hyper-surface partition method which considers the hyper-surface as continuous and divide the image into nonoverlapped blocks. We also defined a counting method in color domain. To validate the proposed method, experiments were carried on two types of color images: synthesized fractal images and natural RGB color images. The experimental results demonstrate that the proposed method is effective and efficient. The behaviors of the proposed method on the rescale images are also shown in the paper. And it can be performed as a reliable FD estimation approach for the RGB color images.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

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2. An Extended Correlation Dimension of Complex Networks;Entropy;2021-06-03

3. A New Technique for Estimating Fractal Dimension of Color Images;Advances in Intelligent Systems and Computing;2020-11-24

4. Color fractal texture image complexity estimation using a convolutional neural network;2020 International Symposium on Electronics and Telecommunications (ISETC);2020-11-05

5. Linear and Non-Linear Models for Remotely-Sensed Hyperspectral Image Visualization;Remote Sensing;2020-08-02

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