Robust stereo image matching using a two-dimensional monogenic wavelet transform

A robust approach based on the 2D monogenic wavelet transform (MWT), which pairs the polyharmonic B-spline wavelet basis with its complex Riesz counterparts to specify a multiresolution monogenic signal analysis, is proposed to solve the general stereo image matching problem. The disparity is directly estimated by establishing correspondences between the monogenic signal components according to the suitable local properties, i.e., the monogenic wavelet annihilates antimonogenic signals, the MWT is phase-shift covariant and the transform magnitude is phase-shift invariant. This approach is different from the current matching techniques and is promising for image registration, flow estimation, and 3D reconstruction. (C) 2009 Optical Society of America