Application Of Local Radial Basis Function Collocation Method Based On Potential Problem In Puncture Problem

With the acceleration of a new round of technological revolution and industrial transformation,virtual reality technology(VR)is increasingly widely used in the medical field.Virtual surgery is an important application of VR in medicine.Doctors can perform surgical operations and training through force tactile feedback devices in a computer-generated virtual medical environment,avoiding the high cost and other limitations required for traditional surgical training.In a virtual surgical system,users perform operations in their virtual surgical scene according to their own needs,such as puncture,suturing,touching,grasping,cutting,etc.In the calculation process,a fast and simplified method is needed to ensure the authenticity of the simulation while also achieving a certain frequency of calculation.The Local Radial Basis Function Collaboration Method(LRBFCM)is a highly efficient,accurate,and simple computational method with a strong form of meshless mesh.It only requires node information for Euclidean distance calculation and does not require grid partitioning.For problems such as skin cutting and percutaneous puncture,it avoids grid reconstruction and updating.Potential problems can describe the changes in elastic field quantities,and potential problems can accurately describe the changes on the three-dimensional skin surface.The local radial basis function collocation method based on potential problems can effectively achieve real-time simulation of skin surface deformation.This article uses Maya software to establish a soft tissue model with a triangular mesh topology structure,imports it into Unity3 D for image rendering,uses local radial basis function collocation method to simulate the process of skin puncture,and then introduces several collision detection methods.Based on the requirements of real-time deformation of soft tissue,the Unity3 D software’s built-in ray collision detection method is used,and the feedback force is solved through potential problems using needle points or nearby change points,Increase the realism of virtual puncture soft tissue force feedback devices.Finally,by using the interfaces of various software and force feedback hardware devices,the puncture simulation of the soft tissue model was achieved based on MATLAB,verifying the effectiveness of the local radial basis function collocation method based on potential problem in simulating soft tissue deformation.The simulation experimental results showed that the model can meet the real-time deformation requirements while ensuring a certain accuracy.Finally,the model has good deformation effect under the puncture feedback force.