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Advanced Computing, Networking and Informatics- Volume 1 pp 101–108Cite as

Scatter Matrix versus the Proposed Distance Matrix on Linear Discriminant Analysis for Image Pattern Recognition

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Part of the Smart Innovation, Systems and Technologies book series (SIST,volume 27)

Abstract

In this paper, we explore the performance of Linear Discriminant Analysis (LDA) by replacing the scatter matrix with the distance matrix for image classification. First we present the intuitive arguments for using the distance matrix in LDA. Based on the experiments on face image database, it is observed that the performance in terms of prediction accuracy is better when the distance matrix is used instead of scatter matrix in Linear Discriminant Analysis (LDA) under certain circumstances. Above all, it is observed consistently that the variation of percentage of success with the selection of training set is less when distance matrix is used when compared with the case when scatter matrix is used. The results obtained from the experiments recommend the usage of distance matrix in place of scatter matrix in LDA. The relationship between the scatter matrix and the proposed distance matrix is also deduced.

Keywords

  • Principal component analysis (PCA)
  • Linear discriminant analysis (LDA)
  • Inner product
  • Similarity measurements

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  • DOI: 10.1007/978-3-319-07353-8_12
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Author information

Authors and Affiliations

  1. Department of Electronics and Communication Engineering, National Institute of Technology Trichy, Trichy, 620015, India

    E. S. Gopi & P. Palanisamy

Authors
  1. E. S. Gopi
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  2. P. Palanisamy
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Corresponding author

Correspondence to E. S. Gopi .

Editor information

Editors and Affiliations

  1. Indian Statistical Institute, Machine Intelligence Unit, Kolkata, India

    Malay Kumar Kundu

  2. Dept. of Computer Science and Engineering, National Institute of Technology Rourkela, Rourkela, India

    Durga Prasad Mohapatra

  3. Dept. of Electronics and Tele-Communication Engineering, Jadavpur University Artificial Intelligence Laboratory, Kolkata, India

    Amit Konar

  4. Dept. of Computer Science and Engineering, St. Thomas' College of Engineering & Technology, Kidderpore, West Bengal, India

    Aruna Chakraborty

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Gopi, E.S., Palanisamy, P. (2014). Scatter Matrix versus the Proposed Distance Matrix on Linear Discriminant Analysis for Image Pattern Recognition. In: Kumar Kundu, M., Mohapatra, D., Konar, A., Chakraborty, A. (eds) Advanced Computing, Networking and Informatics- Volume 1. Smart Innovation, Systems and Technologies, vol 27. Springer, Cham. https://doi.org/10.1007/978-3-319-07353-8_12

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  • DOI: https://doi.org/10.1007/978-3-319-07353-8_12

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07352-1

  • Online ISBN: 978-3-319-07353-8

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