1 2D Continuous wavelet transform

2Dcwttools.tex Last compiled: Monday 22 nd January, 2007 15:33scale = 0.2; ! = 0scale = 0.2; ! = 00.40.30.23020100500.160.140.120.1100.1y0!0.1!0.2!0.3!0.40!10!20k y0!50!1000.080.060.040.02!0.5!0.4 !0.2 0 0.2 0.4x!100 !50 0 50 100k xscale = 0.2; ! = pi3scale = 0.2; ! = pi30.40.30.20.1302010100500.160.140.120.1y0!0.1!0.2!0.3!0.4!0.5!0.4 !0.2 0 0.2 0.4x0!10!20!30k y0!50!100!100 !50 0 50 100k x0.080.060.040.02scale = 0.2; ! = 3pi2scale = 0.2; ! = 3pi20.40.30.23020100500.160.140.120.1100.1y0!0.1!0.2!0.3!0.40!10!20k y0!50!1000.080.060.040.02!0.5!0.4 !0.2 0 0.2 0.4x!100 !50 0 50 100k xFigure 3: Complex Morlet wavelet at scale = 0.2. The left column is the real part ofthe wavelet in physical space, the right column is the modulus of the wavelet in spectralspace. The rows from top down correspond to rotations of θ = 0, π/3, and 3π/2. Thearrow indicates the direction of the wavelet.6