Two-dimensional directional wavelets in image processing
Jean-Pierre Antoine, Pierre Vandergheynst, Romain Murenzi · International Journal of Imaging Systems and Technology · 1996
The two-dimensional (2-D) continuous wavelet transform (CWT) is characterized by a rotation parameter, in addition to the usual translations and dilations. This enables is to detect edges and directions in images, provided a directional wavelet is used. First we review the general properties of the 2-D CWT and describe several useful representations. We describe various classes of wavelets, including the directional ones. Then we turn to the problem of wavelet calibration, in particular, the evaluation of the scale and angle resolving power of a wavelet. Finally we discuss several applications of directional wavelets. © 1996 John Wiley & Sons, Inc.