here a thread where this was mildly discussed i believe there are a few more.
curvaturegraph is only visually and a mess of course. but history with curvaturegraphs set on input curves to control the surface works at least visually. probably a mild comfort for a real matching situation, since a dynamic isocurve CurvatureGraph would be more likely what is needed.
there is no numeric solution as far as i believe, but maybe PointDeviation could be enhanced, if it would have the ability to analyse the continuity as an option. it would work numerically at least and would not be very far from what is needed.