10 February 2009 On the use of the Stockwell transform for image compression
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Abstract
In this paper, we investigate the use of the Stockwell Transform for image compression. The proposed technique uses the Discrete Orthogonal Stockwell Transform (DOST), an orthogonal version of the Discrete Stockwell Transform (DST). These mathematical transforms provide a multiresolution spatial-frequency representation of a signal or image. First, we give a brief introduction for the Stockwell transform and the DOST. Then we outline a simplistic compression method based on setting the smallest coefficients to zero. In an experiment, we use this compression strategy on three different transforms: the Fast Fourier transform, the Daubechies wavelet transform and the DOST. The results show that the DOST outperforms the two other methods.
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Yanwei Wang, Yanwei Wang, Jeff Orchard, Jeff Orchard, } "On the use of the Stockwell transform for image compression", Proc. SPIE 7245, Image Processing: Algorithms and Systems VII, 724504 (10 February 2009); doi: 10.1117/12.806005; https://doi.org/10.1117/12.806005
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