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.

Date Published: 4 September 2009
PDF: 11 pages
Proc. SPIE 7446, Wavelets XIII, 74460Z (4 September 2009); doi: 10.1117/12.826026

Published in SPIE Proceedings Vol. 7446:
Wavelets XIII
Vivek K. Goyal; Manos Papadakis; Dimitri Van De Ville, Editor(s)