Abstract: A grinding wheel for sharpening elongated blades, such as those used for automatic fabric cutting machines, has a planar reference surface or face, and at least one surface depressed from the reference surface, all of the surfaces being coated with abrasive. In one embodiment, the grinding wheel has a radially extending cutting face, circular in elevation, with an outermost, annular, radially planar reference surface along and extending radially inboard from a radially outer edge of the face, and a second annular surface contiguous and concentric with said first surface, the second surface being radially planar and inboard radially of the outermost annular surface and axially recessed with respect to the outermost annular surface.