Progressive mesh cutting for real-time haptic incision simulator

Incision is one of the most critical actions in the medical treatment, and the constant practice is required to be skillful at it. Accordingly, researchers have strived to simulate the incision in the virtual environment. Recently, several methods for mesh cutting and deformation such as [Turkiyyah et al. 2009] are presented to establish a realistic incision simulator. However, most of previous methods endure the alternative of inaccurate incision path or redundant primitives for their primary goal. These factors often affect the results of further simulation steps. To address this issue, we need to find the optimal trade-off between the accuracy and the complexity of the geometry in an acceptable time delay.