A catheter which includes a cutting element having one or more raised elements is provided. The cutting element has a cup-shaped surface at the distal end that may be smooth and continuous except for the raised elements. The raised elements have a surface that tends to direct cut particles of material towards one or more of the axis of rotation of the cutting element, the catheter axis, or a particle collection chamber. In further aspects of the invention, a cutting element oscillates in a direction roughly parallel to the axis of rotation of the cutting element.