Abstract
This paper describes a new method for finding portions having the same feature in target signals or images from a time series or a reference image. The new method uses an integer-type Haar lifting wavelet transform. Free parameters contained in this transform are learned by using training signals or images. The advantage of this method is to be able to find portions having the same feature in the targets, and to realize robust extraction due to rounding-off arithmetic in the trained transform. In simulations, we show how well the method finds geomagnetic sudden commencements from time series of geomagnetic horizontal components, and extracts facial images from a snapshot.
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References
A. R. Calderbank, I. Daubechies, W. Sweldens and B.-L. Yeo. Wavelet transforms that map integers to integers. Technical Report, Department of Mathematics, Princeton University, 1996.
S. Mallat and W. L. Hwang. Singularity detection and processing with wavelets. IEEE Trans. Info. Theory, vol.38, no.2, pp.617–643, 1992.
S. Mallat and S. Zhong. Characterization of signals from multiscale edges. IEEE Trans. Pattern Analysis Machine Intelligence, vol.14, no.7, pp.710–732, 1992.
W. Sweldens. The lifting scheme: A custom-design construction of biorthogonal wavelets. Appl. Comp. Harmon. Anal., vol.3, no.2, pp.186–200, 1996.
S. Takano. Signal and image extraction by lifting wavelets. Doctoral Thesis, Kyushu University, 2001.
S. Takano, T. Minamoto, H. Arimura, K. Niijima, T. Iyemori and T. Araki. Automatic detection of geomagnetic sudden commencement using lifting wavelet filters. LNAI 1721: Proc. of the Second International Conference on Discovery Science, pp.242–251, 1999.
S. Takano and K. Niijima. Robust lifting wavelet transform for subimage extraction. Proc. of SPIE: Wavelet Applications in Signal and Image Processing VIII, vol.4119, pp.902–910, 2000.
S. Takano and K. Niijima. Subimage extraction by integer-type lifting wavelet transforms. Proc. of IEEE International Conference on Image Processing, pp.403–406, 2000.
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© 2002 Springer-Verlag Berlin Heidelberg
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Niijima, K., Takano, S. (2002). Finding of Signal and Image by Integer-Type Haar Lifting Wavelet Transform. In: Arikawa, S., Shinohara, A. (eds) Progress in Discovery Science. Lecture Notes in Computer Science(), vol 2281. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45884-0_37
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DOI: https://doi.org/10.1007/3-540-45884-0_37
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