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The terminology robust features was introduced by Ian Porteous as they are features of a surface wich be followed when the surface is deformed. They capture important aspects of the surface geometry. He talks about it on his book "Geometric Differentiation for the intelligence of curves and surfaces".

I'm currently studying parabolic, sub-parabolic and ridge curves. I'd like to know if there's any geometric intuition behind those curves (and, if possible, a reference for understanding this intuition better).

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    $\begingroup$ Would you mind adding some more context? I'm not familiar with some of the terms you use: for example, what deformations are being considered here, isotopies? $\endgroup$
    – Leo Moos
    Commented Mar 1, 2021 at 16:31
  • $\begingroup$ Yes, isotopies... I'll describe a little more what I'm thinking editing my question $\endgroup$
    – Figurinha
    Commented Mar 1, 2021 at 17:08

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