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Data Representation Using the Weyl Transform

Publication ,  Journal Article
Qiu, Q; Thompson, A; Calderbank, R; Sapiro, G
Published in: IEEE Transactions on Signal Processing
April 1, 2016

The Weyl transform is introduced as a rich framework for data representation. Transform coefficients are connected to the Walsh-Hadamard transform of multiscale autocorrelations, and different forms of dyadic periodicity in a signal are shown to appear as different features in its Weyl coefficients. The Weyl transform has a high degree of symmetry with respect to a large group of multiscale transformations, which allows compact yet discriminative representations to be obtained by pooling coefficients. The effectiveness of the Weyl transform is demonstrated through the example of textured image classification.

Duke Scholars

Published In

IEEE Transactions on Signal Processing

DOI

ISSN

1053-587X

Publication Date

April 1, 2016

Volume

64

Issue

7

Start / End Page

1844 / 1853

Related Subject Headings

  • Networking & Telecommunications
 

Citation

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Qiu, Q., Thompson, A., Calderbank, R., & Sapiro, G. (2016). Data Representation Using the Weyl Transform. IEEE Transactions on Signal Processing, 64(7), 1844–1853. https://doi.org/10.1109/TSP.2015.2505661
Qiu, Q., A. Thompson, R. Calderbank, and G. Sapiro. “Data Representation Using the Weyl Transform.” IEEE Transactions on Signal Processing 64, no. 7 (April 1, 2016): 1844–53. https://doi.org/10.1109/TSP.2015.2505661.
Qiu Q, Thompson A, Calderbank R, Sapiro G. Data Representation Using the Weyl Transform. IEEE Transactions on Signal Processing. 2016 Apr 1;64(7):1844–53.
Qiu, Q., et al. “Data Representation Using the Weyl Transform.” IEEE Transactions on Signal Processing, vol. 64, no. 7, Apr. 2016, pp. 1844–53. Scopus, doi:10.1109/TSP.2015.2505661.
Qiu Q, Thompson A, Calderbank R, Sapiro G. Data Representation Using the Weyl Transform. IEEE Transactions on Signal Processing. 2016 Apr 1;64(7):1844–1853.

Published In

IEEE Transactions on Signal Processing

DOI

ISSN

1053-587X

Publication Date

April 1, 2016

Volume

64

Issue

7

Start / End Page

1844 / 1853

Related Subject Headings

  • Networking & Telecommunications