A new image segmentation method based on multifractal detrended moving average analysis

Wen Shi, Rui-biao Zou, Fang Wang and Le Su

Physica A: Statistical Mechanics and its Applications, 2015, vol. 432, issue C, 197-205

Abstract: In order to segment and delineate some regions of interest in an image, we propose a novel algorithm based on the multifractal detrended moving average analysis (MF-DMA). In this method, the generalized Hurst exponent h(q) is calculated for every pixel firstly and considered as the local feature of a surface. And then a multifractal detrended moving average spectrum (MF-DMS) D(h(q)) is defined by the idea of box-counting dimension method. Therefore, we call the new image segmentation method MF-DMS-based algorithm. The performance of the MF-DMS-based method is tested by two image segmentation experiments of rapeseed leaf image of potassium deficiency and magnesium deficiency under three cases, namely, backward (θ=0), centered (θ=0.5) and forward (θ=1) with different q values. The comparison experiments are conducted between the MF-DMS method and other two multifractal segmentation methods, namely, the popular MFS-based and latest MF-DFS-based methods. The results show that our MF-DMS-based method is superior to the latter two methods. The best segmentation result for the rapeseed leaf image of potassium deficiency and magnesium deficiency is from the same parameter combination of θ=0.5 and D(h(−10)) when using the MF-DMS-based method. An interesting finding is that the D(h(−10)) outperforms other parameters for both the MF-DMS-based method with centered case and MF-DFS-based algorithms. By comparing the multifractal nature between nutrient deficiency and non-nutrient deficiency areas determined by the segmentation results, an important finding is that the gray value’s fluctuation in nutrient deficiency area is much severer than that in non-nutrient deficiency area.

Keywords: Image segmentation; Multifractal detrended moving average analysis; Rapeseed leaves of nutritional deficiency (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:432:y:2015:i:c:p:197-205

DOI: 10.1016/j.physa.2015.03.058

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