Multimedia Tools and Applications

, Volume 76, Issue 2, pp 2243–2265 | Cite as

Mean Laplacian mappings-based difference LDA for face recognition

  • Zhaokui Li
  • Yan Wang
  • Xing Zhou
  • Guohui Ding
  • Xiangbin Shi
  • Runze Wan


This paper proposes a difference LDA based on mean Laplacian mappings. For each pixel, we firstly estimate multiple mean Laplacian mappings which include an odd and even and full mean Laplacian mappings, and generate three different images respectively. Then, we obtain a concatenated image by concatenating the odd, even and full images. The usage of the concatenated mean Laplacian mapping results in a more robust dissimilarity measures between images. In order to derive discriminative representation for the concatenated feature vector, we introduce a difference LDA which applies a difference scatter matrix to find the subspace that best discriminates different face classes. The introduction of the difference scatter matrix avoids the singularity of the within-class scatter matrix. Experiments show that the proposed method for facial expression, illumination change and different occlusion has better robustness, and achieves a higher recognition rate. For a single sample per person, the proposed method can also obtain a higher recognition rate.


Mean Laplacian mappings Difference scatter matrix Linear discriminant analysis Robust dissimilarity measures Face recognition 



The authors would like to thank the anonymous reviewers for their valuable comments and suggestions to improve the quality of this paper. This work has been supported by PhD research startup foundation of Shenyang Aerospace University(Grant No. 15YB05), Foundation of Liaoning Educational Committee (Grant No. L2015403), Technology Innovation Foundation (Basic Research) of Aviation Industry Corporation of China(Grant No. 2013S60109R), and National Natural Science Foundation of China (Grant No. 61170185, 61303016).


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • Zhaokui Li
    • 1
  • Yan Wang
    • 1
  • Xing Zhou
    • 2
    • 3
  • Guohui Ding
    • 1
  • Xiangbin Shi
    • 1
  • Runze Wan
    • 2
  1. 1.School of ComputerShenyang Aerospace UniversityShenyangChina
  2. 2.State Key Laboratory of Software Engineering, Computer SchoolWuhan UniversityWuhanChina
  3. 3.College of Computer and Information EngineeringHenan UniversityKaifengChina

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