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.
