Data Representation Using the Weyl Transform


Journal Article

© 2015 IEEE. 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.

Full Text

Duke Authors

Cited Authors

  • Qiu, Q; Thompson, A; Calderbank, R; Sapiro, G

Published Date

  • April 1, 2016

Published In

Volume / Issue

  • 64 / 7

Start / End Page

  • 1844 - 1853

International Standard Serial Number (ISSN)

  • 1053-587X

Digital Object Identifier (DOI)

  • 10.1109/TSP.2015.2505661

Citation Source

  • Scopus