A delaunay approach to interactive cutting in triangulated surfaces

We present a method for producing cuts in triangulated surfaces. This method keeps the mesh size low and element quality high. We show the method for triangle meshes in two dimensions, and then generalize it to three dimensional curved surfaces, where bifurcations and annihilations of incisions may occur. This method could be applied to simulating surgery of membrane-like structures, such as veins or intestine.