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Indexed by:期刊论文

Date of Publication:2014-07-01

Journal:JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION

Included Journals:SCIE、EI

Volume:25

Issue:5

Page Number:1102-1111

ISSN No.:1047-3203

Key Words:Differential box-counting method (DBC); Fractal dimension; Gray-level images; Grid box size; Synthetic images; Over-counting; Texture images; Under-counting

Abstract:The differential box-counting (DBC) method is one of the frequently used techniques to estimate the fractal dimension (FD) of a 2D gray-level image. This paper presents an improved DBC method based on the original one for improvement of the accuracy. By adopting the modifying box-counting mechanism, shifting box blocks in (x, y) plane and selecting appropriate grid box sizes, it can solve the two kinds of problems which the DBC has: over-counting boxes along z direction and under-counting boxes just at the border of two neighboring box blocks where there is a sharp gray-level abruption exits. The experiments using two sets of synthetic images and one set of real natural texture images demonstrate that the improved DBC method can solve the two kinds of problems perfectly, simultaneously, and can outperform other DBC methods in the accuracy. (c) 2014 Elsevier Inc. All rights reserved.