The way I understand it, coils are the biggest part of problem, they have to fit rather snugly over the workpiece which would mean that each knife type would need its own custom coil. As Stacy pointed, HF induction is shallow penetrating, and even then is far from uniform- but I think with LF through heating of the knife could be possible... Another issue is that efficiency of induction heating drops significantly past critical point (steel turns non-magnetic), so if needed to go beyond that point, additional heating elements would most likely be neccessary.