An adaptation of the dual-affine interior point method for the surface flatness problem
This paper presents an adaptation of the dual-affine interior point method for the surface flatness problem. In order to determine how flat a surface is, one should find two parallel planes so that the surface is between them and they are as close together as possible. This problem is equivalent to the problem of solving inconsistent linear systems in terms of Tchebyshevs norm. An algorithm is proposed and results are presented and compared with others published in the literature.
interior point methods surface flatness problem tchebyshevs norm linear programming