Multimedia Tools and Applications

, Volume 75, Issue 6, pp 2969–2987 | Cite as

An integrated similarity metric for graph-based color image segmentation

  • Xiang Li
  • Lianghai Jin
  • Enmin Song
  • Zeng He


Graph-based method has become one of the major trends in image segmentation. In this paper, we focus on how to build the affinity matrix which is one of the key issues in graph-based color image segmentation. Four different metrics are integrated in order to build an effective affinity matrix for segmentation. First, the quaternion-based color distance is utilized to measure color differences between color pixels and the oversegmented regions (superpixels), which is more accurate than the commonly used Euclidean distance. In order to describe the superpixels well, especially for texture images, we combine the mean and the variance information to represent the superpixels. Then the image boundary information is used to merge the oversegmented regions to preserve the image edge and reduce the computational complexity. An object for recognition may be cut into nonadjacent sub-parts by clutter or shadows, the affinities between adjacent and nonadjacent superpixels are computed in our study. This feature of affinity is not considered in other methods which only consider the similarity of adjacent regions. Experimental results on the Berkeley segmentation dataset (BSDS) and Weizmann segmentation evaluation datasets demonstrate the superiority of the proposed approach compared with some existing popular image segmentation methods.


Graph-based method Image segmentation Similarity metrics Quaternion 



The authors would like to thank the anonymous reviewers for their insightful suggestions, and Dr. Chih-Cheng Hung for his valuable comments and suggestions. This work was supported by the National Natural Science Foundation of China (Grant Nos. 61370181, 61075010 and 61370179), and National Key Technology Research and Development Program of China (Grant No. 2012BAI23B07).


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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Xiang Li
    • 1
    • 2
  • Lianghai Jin
    • 1
    • 2
  • Enmin Song
    • 1
    • 2
  • Zeng He
    • 3
  1. 1.School of Computer Science and TechnologyHuazhong University of Science and TechnologyWuhanPeople’s Republic of China
  2. 2.Key Laboratory of Education Ministry for Image Processing and Intelligent ControlWuhanPeople’s Republic of China
  3. 3.School of Civil Engineering and MechanicsHuazhong University of Science and TechnologyWuhanPeople’s Republic of China

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