Figure 1

Curvelet and Gabor filter profiles. Profiles along the oscillatory direction of curvelets and Gabor filters. From top to bottom: real part of a curvelet; imaginary part of a curvelet; an odd Gabor filter with σ·ω = 1; an odd Gabor filter with σ·ω = 4. The imaginary part of a curvelet is similar to an odd Gabor filter with σ·ω = 4, but has a different decay.