Title | ||
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Riesz Transform for the Isotropic Estimation of the Local Phase of Moiré Interferograms |
Abstract | ||
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The estimation of the local phase and local amplitude of 1-D signals can be realized by the construction of the analytic signal. T his includes the evalu- ation of the signal's Hilbert transform, which performs a ph ase shift. In the past, different definitions of the analytic signal of multidimens ional signals have been proposed, all of which are based on different combinations of partial and total Hilbert transforms. None of these approaches is isotropic. We propose the use of Riesz transforms which are known to mathematicians as appropriate gener- alizations of the Hilbert transform to -D. This approach allows the isotropic estimation of the intrinsically 1-D local image phase. Applications to Moire in- terferograms are shown. |
Year | Venue | Keywords |
---|---|---|
2000 | Mustererkennung 2000, 22. DAGM-Symposium | Isotropic Estimation,Local Phase,Riesz Transform |
Field | DocType | ISBN |
Isotropy,Analytic signal,Mathematical analysis,Hilbert transform,Hilbert spectral analysis,Amplitude,Riesz transform,Mathematics,Hilbert–Huang transform,Phase (waves) | Conference | 3-540-67886-7 |
Citations | PageRank | References |
3 | 2.79 | 3 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Thomas Bülow | 1 | 252 | 33.08 |
Dieter Pallek | 2 | 3 | 2.79 |
Gerald Sommer | 3 | 269 | 21.93 |