Exploring the application of minimally invasive techniques in the extraction of impacted mandibular third molar (IMTM), to achieve the treatment goal of "less trauma, short time, fast recovery", remains the focus of dentists. For now, the IMTM are mostly extracted in pieces after removing the crown and root resistance by bone removal and tooth segmentation, using 45°reverse-angle high speed turbine, piezosurgery, chisel or other dynamic system. However, There is a lack of principle-level parsing in different provinces and primary hospitals, while experience is still the main factor in avoiding excessive bone removal in complex IMTM extraction, as well as optimizing the specific position and angle of the parting teeth, finding the fulcrum and designing the best dislocation path when there is root resistance. In this review, the principle of geostatics was introduced into the extraction of IMTM. According to this principle, we analyzed how to design a clever tooth cutting line cleverly to enhance the efficiency of tooth segmentation, and how to optimize the mechanical design of root dislocation and the root dislocation path. Meanwhile, we will also focus on how to minimize trauma to alveolar bone during tooth extraction, so as to reduce the risk of intraoperative and postoperative complications, and provide interpretation and reference for dentists in surgical design and techniques of minimally invasive tooth extraction.