In today's layered manufacturing systems the transformation of the CAD data to machine commands is characterized by a facetisation of the entire CAD-model and a subsequent slicing of this approximate model. One consequence of this approach is that between the CAD and the machine level the approximated model is always exchanged using the STL standard. This prevents efficient control of the fabrication process by the fabrication engineer by excluding important information, such as surface finish or exact geometry. Recently a new approach known as Direct Slicing was developed to attack these problems. This method proposes the slicing of the exact model and allows as a consequence the exchange of the CAD model by using, for example, STEP. One problem of the proposed Direct Slicing algorithms is the occurrence of degenerate cases. In this paper these degenerate cases are analyzed and algorithms are proposed to process them.

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