There are three stages to re-grinding a worn Coventry die set. One, the throat angle needs to be ground to provide fresh cutting edges. The rake angle then needs to be ground at the appropriate angle to return the cutting edges to their correct position with respect to the work rotation axis. Third, after a number of regrinds the start of the throat angle needs to be ground away to remove non-cutting material. Here's a selection of Coventry die grinding jigs:

On the left are a selection of the old style jigs, two separate ones for each size of diehead, for RH and LH dies. These were intended to cut the standard 20º throat angle. For other throat angles, commonly 15º, 33º and 45º, the jigs could be mounted on angled plates, centre left. Centre right are two sizes of the new jigs (as per Muzzers link) each of which can grind dies for a range of diehead sizes, for all throat and rake angles, and for both RH and LH dies. Finally far right are some angle gauges. Those familiar with die sets will know that each set has an arbitrary number engraved on it, which is the same for all dies in a set. The angle gauges have a numbered scale corresponding to these numbers. When regrinding the rake each die is tested in the gauge until the first tooth stops on the scale opposite the number engraved on the die. This ensures that the tooth is in the correct orientation with respect to the work to cut properly.
Andrew