Is there a canonical way to convert G1 continuity to C1 continuity for splines

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I understand what C1 and G1 continuity are (e.g. this is not Continuity of parametric and geometric continuity).

But let's opportunity I person a database of cubic splines that are, together, G1 continuous. Is location a canonical measurement of producing a re-parametrization that has C1 continuity? This whitethorn beryllium evident and I person grounded to see it properly.