Research on a precise differential box-counting method of eliminating image background

Kexue Lai; Tao He; Cancan Li; Weisong Zhou; Liangen Yang

doi:10.1117/12.2214143

26 January 2016 Research on a precise differential box-counting method of eliminating image background

Kexue Lai, Tao He, Cancan Li, Weisong Zhou, Liangen Yang

Proceedings Volume 9903, Seventh International Symposium on Precision Mechanical Measurements; 99031V (2016) https://doi.org/10.1117/12.2214143
Event: Seventh International Symposium on Precision Mechanical Measurements, 2015, Xia'men, China

Abstract

Differential box-counting (DBC) method has been widely used to calculate fractal dimension. analyzing the result of fractal dimension with background image by estimating this traditional method,we find that this algorithm has the limitation to estimate fractal dimension of images with background accurately. In order to solve this issue ,in this paper, an improved differential box-counting(IDBC) method has been proposed to eliminate influence of background on fractal dimension .The mainly improved steps of IDBC as follow: firstly ,the background pixels values G_b of image need to be found out using probability .Secondly, the n_q ( n_q is the numbers of boxes in a grid) is set to zero when the maximum and minimum in a grid are equal to image background values. To validate IDBC method’s performance ,we designed an experiment that the fractal dimension of both original texture images and these ones put in different size frame with black-background are estimated and compared through four different algorithms, including DBC, relevant differential box-counting (RDBC) method, shifting differential box-counting (SDBC) method and IDBC method. The experimental results demonstrate that the IDBC method developed in this work has the ability to improve the measurement accuracy by avoiding the influence caused by background.

Citation Download Citation

Kexue Lai, Tao He, Cancan Li, Weisong Zhou, and Liangen Yang "Research on a precise differential box-counting method of eliminating image background", Proc. SPIE 9903, Seventh International Symposium on Precision Mechanical Measurements, 99031V (26 January 2016); https://doi.org/10.1117/12.2214143

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