document: A survey of interactive mesh-cutting techniques and a new method for implementing generalized interactive mesh cutting using virtual tools In our experience , mesh-cutting methods can be distinguished by how their solutions address the following major issues : definition of the cut path , primitive removal and re-meshing , number of new primitives created , when re-meshing is performed , and representation of the cutting tool . Many researchers have developed schemes for interactive mesh cutting with the goals of reducing the number of new primitives created , creating new primitives with good aspect ratios , avoiding a disconnected mesh structure between primitives in the cut path , and representing the path traversed by the tool as accurately as possible . The goal of this paper is to explain how , by using a very simple framework , one can build a generalized cutting scheme . This method allows for any arbitrary cut to be made within a virtual object , and can simulate cutting surface , layered surface or tetrahedral objects using a virtual scalpel , scissors , or loop cautery tool . This method has been implemented in a real-time , haptic-rate surgical simulation system allowing arbitrary cuts to be made on high-resolution patient-specific models
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