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A method for preserving the classifiability of digital images after performing a wavelet-based compression

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Abstract

A measure is introduced that predicts the number of coefficients needed to be retained in the discrete wavelet transform of images in order to maintain their classifiability. The introduction of the criterion is based on the energy content of the wavelet coefficients and the order in which they are scanned. The coefficients are weighted based on their location acquired by Morton scanning of the two-dimensional transform plane. The proposed criterion has been tested on MIT-CBCL and AT&T-Olivetti face databases, Columbia Object Image Library (COIL-20) object database, the MNIST handwritten character recognition database and on Caltech-101 object image database. To demonstrate the efficiency of the proposed method, several classification experiments are conducted on each database. Simulation results show that the proposed method can maintain the same classifiability as that of uncompressed data with only a small fraction of the wavelet coefficients.

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Notes

  1. Note that in this paper, depending on the context, feature (subset) selection and dimension reduction are used interchangeably.

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Acknowledgments

We express our sincere thanks to the various sources from where we have downloaded the data sets used in our experiments—they are cited individually in Sect. 5.

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Authors and Affiliations

  1. Concordia University, 1515 St. Catherine West, Montreal, QC, H3G 2W1, Canada

    Mahdi Yektaii & M. Omair Ahmad

  2. School of Computing Sciences and Informatics, University of Cincinnati, PO Box 210030, Cincinnati, OH, 45221-0030, USA

    Prabir Bhattacharya

Authors
  1. Mahdi Yektaii
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  2. M. Omair Ahmad
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  3. Prabir Bhattacharya
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Correspondence to Mahdi Yektaii.

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Yektaii, M., Ahmad, M.O. & Bhattacharya, P. A method for preserving the classifiability of digital images after performing a wavelet-based compression. SIViP 8, 169–180 (2014). https://doi.org/10.1007/s11760-013-0509-3

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  • DOI: https://doi.org/10.1007/s11760-013-0509-3

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