Abstract: A method and apparatus for grinding a knife blade to form a sharpened edge. The blade is held in a fixture including a self-centering clamp with a pair of jaws gripping the knife blade by engaging opposite sides of a part of the blade tapered toward an edge location, and holding the blade so that the intended edge location of the blade is in a desired location with respect to the fixture. This permits use of profiled grinding wheels of hard material mounted on a carriage under computer control to grind an edge bevel accurately on each side of the blade, forming a sharp edge.