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
APA
Chicago
ICMJE
MLA
NLM
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