Interpolation of scattered data in ${\mathbb{R}}^3$ using minimum $L_p$-norm networks, $1<p<\infty$

Krassimira Vlachkova

We consider the extremal problem of interpolation of scattered data in ${\mathbb{R}}^3$ by smooth curve networks with minimal $L_p$-norm of the second derivative for $1<p<\infty$. Th…