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Open Access Green as soon as Postprint is submitted to ZB.
Steerable wavelet frames based on the Riesz transform.
IEEE Trans. Image Process. 19, 653-667 (2010)
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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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
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
Volume: 19,
Issue: 3,
Pages: 653-667
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)