中文摘要：

传统的图像三维重构方法采用三角网和TPS变换重建方法,当多个采样点距离很近时重建表面容易产生褶皱,效果不好,对此提出了一种基于拟蒙特卡罗和Taubin平滑的三维图像重构算法.采用拟蒙特卡罗思想进行图像测量点特征提取,进行模板构建及校准,计算网格模型上匹配点以及非匹配点的形变位移向量,对整个网格模型实施Taubin平滑,使用最小夹角原则对图像低频部分进行全域矢量分解,寻找采样云中每个采样点在网格模型上的匹配点,构建图像结构纹理信息网格,通过Taubin平滑进行三角网格表面渲染,实现图像三维重构算法改进设计.仿真实验表明,该算法对左右心房的三维重构效果较好,心内膜表面具有良好的局部贴合性,保留了图像大部分的细节信息,重建表面的最大误差为1.383 4±0.939 4mm（P〈0.05）,满足动态图像导航需求.

英文摘要：

The traditional method uses triangulation and TPS transform reconstruction method,when more than one sampling point,the effect is not good.A 3dimensional image reconstruction algorithm is proposed based on Quasi Monte Carlo and Taubin smoothing.Quasi Monte Carlo is used for measuring point feature extraction,template construction and calibration are taken,grid model matching and non matching point deformation displacement vector is calculated,the minimum angle principle is taken for carrying on the whole domain vector decomposition of the low-frequency part of the image.Taubin smoothing operator is taken for grid surface updating,match point is obtained in each sampling grid model.The image structure and texture information grid are constructed,triangular mesh surface rendering and 3Dimage smoothing are realized,3Dreconstruction algorithm is improved.Simulation results show that the algorithm has better 3D reconstruction effect left and right hearts.It has good local conformability with endocardial surface,most of the detail information of the image can be retained,and maximum error of the reconstructed surface is 1.383 4 ＋ 0.939 4mm（P0.05）,meet the demand of image navigation in cardiac surgery.