High efficient surgical simulation based on structured dictionary

This paper presents a method of real time 3D surgical simulation for deformable organs. It employs the technique of structured surface representation to decrease the description dimensionality, which allows for efficient deformation simulation by reducing the computational cost involved in the regular ODE solver. Majority of the deformation is estimated by surface reconstruction in the best-fit subspace. Experimental results are presented to demonstrate the feasibility of the method. The achieved accuracy is 2.3% ± 1.3% in terms of normalized Euclidean distance and 0.71 ± 0.30mm for Hausdorff distance. The maximum error is below 2mm. Therefore, the proposed method achieves accuracy close to that of the traditional simulation method.