Volumetric tools for machining planning

The paper presents briefly, as an introduction, the MAT calculation method by subdivision, the so-called "divide-and-conquer" algorithm during which the Delaunay nodes are calculated. The paper goes on to describe how this method can be applied to calculating the MAT of negative objects. The negative MAT provides important information about the exterior of the object for material removal and maximal radii for access. The process of calculating the negative MAT includes the determination of infinite Delaunay nodes as well. The paper presents methods for recombining the Delaunay nodes according to certain rules for object reconstruction, offsetting and object subdivision. Finally the paper describes how these tools can be used for machining and machining planning.