Jp. Antoine et al., 2-DIMENSIONAL DIRECTIONAL WAVELETS IN IMAGE-PROCESSING, International journal of imaging systems and technology, 7(3), 1996, pp. 152-165
The two-dimensional (2-D) continuous wavelet transform (CWT) is charac
terized by a rotation parameter, in addition to the usual translations
and dilations. This enables is to detect edges and directions in imag
es, provided a directional wavelet is used. First we review the genera
l properties of the 2-D CWT and describe several useful representation
s. We describe various classes of wavelets, including the directional
ones. Then we turn to the problem of wavelet calibration, in particula
r, the evaluation of the scale and angle resolving power of a wavelet.
Finally we discuss several applications of directional wavelets. (C)
1996 John Wiley & Sons, Inc.