Image edge detection based on local dimension: A complex networks approach

Zhenxing Wu, Xi Lu and Yong Deng

Physica A: Statistical Mechanics and its Applications, 2015, vol. 440, issue C, 9-18

Abstract: A novel approach based on local dimension of complex networks is proposed to address edge detecting issue in image processing. A new method that the image was modeled to complex networks is proposed. Our method for mapping an image into complex network is based on the weighted combination of the Euclidean distance and gray-level similarity indices, which differs from the way was done previously in several works. The local dimension of node characters the local property of pixel. It is observed that edge pixels obviously have lower node dimension than non-edge pixels, which is used in our proposed edge detection method. The proposed method is applied to both synthetic and natural images. The results show the efficiency of our proposed method.

Keywords: Complex networks; Edge detection; Local dimension; Image processing (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:440:y:2015:i:c:p:9-18

DOI: 10.1016/j.physa.2015.07.020

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