虚拟手术中表面网格切割优化算法的研究

Optimization algorithm for surface mesh cutting in virtual surgery

针对人体器官的切割仿真是虚拟手术系统中的重要组成部分。本文通过移动切割轨迹与三角面片的交点对交点复制顶点平移法进行优化,并按照最小角最大化的原则重新构造三角面片以达到提高剖分质量的目的;提出了利用贝塞尔曲线方法构造切口凹槽的思想,采用复用二次贝塞尔曲线对切口凹槽进行细化。实验结果表明本文方法提高了切割后新生成的三角面片质量,使模型切口凹槽更为平滑,有利于虚拟手术的二次切割模拟。

The virtual cutting is a very important part of the virtual surgery system.In this paper,the algorithm on the basis of the intersection copy vertex translation method is optimized by moving the intersections of the cutting path and triangular patchs,and the triangular patchs are reconstructed according to the principle of maximization the minimum angle in order to inprove the quality of the triangular patchs.The incision grooves are structured by reduplicating the second-order B€閦ier curve in order to get smoother model incision.Experimental results show that the proposed method improves the quality of triangular patchs,and contribute to the second cut in the virtual surgery simulation.