The author studies the problem of $G^2$ continuous interpolation of curves in ${\bbfR}^d$ by polynomial splines of degree $n$. If $r$ denotes the number of interior points interpolated by each segment of the spline curve, the case $n=r+2=d$ is completely studied. The author shows that the problem is uniquely solvable asymptotically. In order to confirm the results, a numerical example for a curve in ${\bbfR}^4$ is presented in the last section.
Reviewer: N.Ţăndăreanu (Craiova)