Abstract - A fl exible multiscale and directional representation for images is

proposed. The scheme combines directional fi lter banks with the

Laplacian pyramid to provides a sparse representation for two-

dimensional piecewise smooth signals resembling images. The

underlying expansion is a frame and can be designed to be a

tight frame. Pyramidal directional fi lter banks provide an effective

method to implement the digital curvelet transform. The regularity

issue of the iterated fi lters in the directional fi lter bank is examined.-Abstract- A fl exible multiscale and directional representation for images is

proposed. The scheme combines directional fi lter banks with the

Laplacian pyramid to provides a sparse representation for two-

dimensional piecewise smooth signals resembling images. The

underlying expansion is a frame and can be designed to be a

tight frame. Pyramidal directional fi lter banks provide an effective

method to implement the digital curvelet transform. The regularity

issue of the iterated fi lters in the directional fi lter bank is examined.