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Held, S.* ; Storath, M.* ; Massopust, P. ; Forster, B.

Steerable wavelet frames based on the Riesz transform.

IEEE Trans. Image Process. 19, 653-667 (2010)
Verlagsversion DOI
Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
We consider an extension of the 1-D concept of analytical wavelet to n-D which is by construction compatible with rotations. This extension, called a monogenic wavelet, yields a decomposition of the wavelet coefficients into amplitude, phase, and phase direction. The monogenic wavelet is based on the hypercomplex monogenic signal which is defined using Riesz transforms and perfectly isotropic wavelets frames. Employing the new concept of Clifford frames, we can show that the monogenic wavelet generates a wavelet frame. Furthermore, this approach yields wavelet frames that are steerable with respect to direction. Applications to descreening and contrast enhancement illustrate the versatility of this approach to image analysis and reconstruction.
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Schlagwörter Analytical signal; Clifford algebra; Contrast enhancement; Descreening; Hilbert transform; Monogenic signal; Phase; Phase direction; Riesz transform; Steerable filters; Wavelet
ISSN (print) / ISBN 1057-7149
e-ISSN 1941-0042
Quellenangaben Band: 19, Heft: 3, Seiten: 653-667 Artikelnummer: , Supplement: ,
Verlag Institute of Electrical and Electronics Engineers (IEEE)
Begutachtungsstatus Peer reviewed