Resolving the topological ambiguity in approximating the isosurface of scalar function

Abstract

The purpose of the paper is the consideration of the problem of topological ambiguities arising in the Marching Cube algorithm. It also presents the solution of this problem inside the cube. The technique for obtaining the points lying on the surface and for connecting them in the correct sequence inside it is shown. Graph theory methods are used to approximate the isosurface inside the cube.<>