4 September 2009 Monogenic wavelet frames
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Abstract
We consider an extension of the 1-D concept of analytical wavelets to n-D, which is by construction compatible with rotations. This extension, called the monogenic wavelet, yields a decomposition of the wavelet coefficients into amplitude, phase, and phase direction, analogous to the decomposition of an analytical wavelet coefficient into amplitude and phase. We demonstrate the usefulness of this decomposition with two applications.
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Stefan Held, Stefan Held, Martin Storath, Martin Storath, } "Monogenic wavelet frames", Proc. SPIE 7446, Wavelets XIII, 74460Z (4 September 2009); doi: 10.1117/12.826026; https://doi.org/10.1117/12.826026
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