I want to know the phrase for almost smooth curve, which means,
For a curve $C:[a,b]\to\mathbb{R}^2$, there is a partition of domain, $[a=a_0,a_1)\cup[a_1,a_2)\cup\cdots\cup[a_{k-1},a_k=b]$ with $a_i<a_{i+1}$ such that all $C_i$, a restriction of $C$ into $[a_i,a_{i+1})$, are of class $C^\infty$.
Is there any common name for this type of curves? For example:
- Piecewise Smooth Curve
- Almost Smooth Curve
- Right-$C^\infty$ Curve