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Indexed by:期刊论文

Date of Publication:2016-11-01

Journal:JOURNAL OF APPLIED ANALYSIS AND COMPUTATION

Included Journals:SCIE

Volume:6

Issue:4

Page Number:1114-1125

ISSN No.:2156-907X

Key Words:Ddifferential box-counting (DBC) method; fractal dimension; improved DBC method

Abstract:Fractal dimension (FD) reflects the intrinsic self-similarity of an image and can be used in image classification, image segmentation and texture analysis. The differential box-counting (DBC) method is a common approach to calculating the FD values. This paper proposes an improved DBC-based approach to optimizing the performance of the method in the following ways: reducing fitting errors by decreasing step lengths, considering under-counting boxes on the border of two neighboring box-blocks and making better use of all the pixels in the blocks while not neglecting the middle parts. The experimental results show that the fitting error of the new method can be decreased to 0.012879. The average distance of the FD values is decreased by 16.0% in the divided images and the average variance of the FD values is decreased by 30% in the scaled images, compared with other modified methods. The results show that the new method has a better performance in the recognition of the same type of images and the scaled images.