Monogenic wavelet frames

Stefan Held; Martin Storath

doi:10.1117/12.826026

4 September 2009 Monogenic wavelet frames

Stefan Held, Martin Storath

Proceedings Volume 7446, Wavelets XIII; 74460Z (2009) https://doi.org/10.1117/12.826026
Event: SPIE Optical Engineering + Applications, 2009, San Diego, California, United States

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.

Citation Download Citation

Stefan Held and Martin Storath "Monogenic wavelet frames", Proc. SPIE 7446, Wavelets XIII, 74460Z (4 September 2009); https://doi.org/10.1117/12.826026

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