The problem considered is how to impose a condition on the outline of a domain when the outline passes through interior nodes of the network and only intensities can be displayed. The authors have solved this problem by using an iterative procedure in which the discretized Laplace operator plays the part of a convergence operator. Convergence of the procedure is demonstrated in the case in which the condition to be imposed is linear, but practically this convergence is also obtained in the case of nonlinear conditions.