3D Steerable Wavelets And Monogenic Analysis For Bioimaging

In this paper we introduce a 3D wavelet frame that has the key property of steerability. The proposed wavelet frame relies on the combination of a 3D isotropic wavelet transform with the 3D Riesz operator which brings steerability to the pyramid. The novel transform enjoys self reversibility and exact steering of the basis functions in any 3D direction by linear combination of the primary coefficients. We exploit the link between the Riesz transform and the directional Hilbert transform to define a multiresolution monogenic signal analysis in 3D which achieves multiscale AM/FM signal decomposition. We give an example of application of the 3D monogenic wavelet frame in biological imaging with the enhancement of anisotropic structures in 3D fluorescence microscopy.

Published in:
2011 8Th Ieee International Symposium On Biomedical Imaging: From Nano To Macro, 2132-2135
Presented at:
8th IEEE International Symposium on Biomedical Imaging (ISBI) - From Nano to Macro, Chicago, IL, Mar 30-Apr 02, 2011
Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa

 Record created 2012-06-25, last modified 2018-01-28

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