Abstract
AbstractIn this paper we handle the problem of filling the hole in the graphic of a surface by means of a patch that joins the original surface with $$\mathcal {C}^{1}$$
C
1
-smoothness and fulfills an additional non-linear geometrical constraint regarding its area or its mean curvature at some points. Furthermore, we develop a technique to estimate the optimum area that the filling patch is expected to have that will allow us to determine optimum filling patches by means of a system of linear and quadratic equations. We present several numerical and graphical examples showing the effectiveness of the proposed method.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics