Curves fairness is a strange problem in Computer Aided Geometric Design and every author gives his personal definition.One of the simplest is the following:A curve is said to be fair if(1) it is G2 continuous,(2) it has no undesirable inflection points, and(3) its curvature varies in an even way.Yes, but why is a curve with these properties fair ? It is only a definition and I can define what I want. I need a theorem to state something in mathematics.Where are theorems about fairness ?The problem is that in mathematics I can speak about sets,functions and other mathematical objects, but not about fairness.How can you solve this problem ?
Curves fairness
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