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Two‐dimensional directional wavelets in image processing
Author(s) -
Antoine J.P.,
Vandergheynst P.,
Murenzi R.
Publication year - 1996
Publication title -
international journal of imaging systems and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.359
H-Index - 47
eISSN - 1098-1098
pISSN - 0899-9457
DOI - 10.1002/(sici)1098-1098(199623)7:3<152::aid-ima1>3.0.co;2-7
Subject(s) - wavelet , computer science , continuous wavelet transform , wavelet transform , legendre wavelet , discrete wavelet transform , lifting scheme , rotation (mathematics) , artificial intelligence , second generation wavelet transform , stationary wavelet transform , gabor wavelet , fast wavelet transform , wavelet packet decomposition , pattern recognition (psychology) , computer vision , algorithm
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.