Approximation of isosurface in the Marching Cube: ambiguity problem

The purpose of the article is the consideration of the problem of ambiguity over the faces arising in the Marching Cube algorithm. The article shows that for unambiguous choice of the sequence of the points of intersection of the isosurface with edges confining the face it is sufficient to sort them along one of the coordinates. It also presents the solution of this problem inside the cube. Graph theory methods are used to approximate the isosurface inside the cell.<>