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The Epstein Gage Lemma states that a curve evolving under some given velocity vectorV(V= VnN+ VtT), where Vn is the normal velocity component and Vt is the tangential velocity component,Nis the normal to the curve andTis the tangent to the curve, will give the same curves if evolved under only Vn, i.e. the normal velocity component. The Tangential component Vt affects only the parameterisation and not the shape of the curve.

Can somebody give me a simple enough proof of the above theorem?

thanks in advance..

Aditya Tatu

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# Curve Evolution

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