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中文摘要：
为了克服传统有限元搜索方法中单元间位移不连续的缺点,提高位移计算的准确性,将空间信息与位移场对应起来,提出一种基于四维医学图像的心室应力应变计算方法.首先为心室的一个心动周期建立多个相位的内外壁B样条曲面模型;其次计算各个相位标记点的位移,利用所建模型进行拟合得到连续的位移场,并以模型的规范化转换坐标为中介将空间模型与位移场中的点一一对应;最后通过位移变化的物理力学关系计算应变和应力.实验结果表明,采用文中方法能够有效地计算分析心室的应力应变分布情况.
英文摘要：
A method is proposed to calculate the strain and stress of human left ventricle（LV） based on four-dimensional medical images.It promises to correspond the space information with the field of displacement to obtain better results than traditional finite element methods in which the displacement within each element is discontinuous and estimated by linear interpolation.Firstly,a B-spline model of LV surface is built based on boundary data extracted from the cardiac images in a sequence of time phases.Secondly,the displacement of tracked points is interpolated to establish a motion field with the parameters of corresponding points in the B-spline model.Thirdly,the relationship is determined by mapping the spatial B-spline models to the displacement fields.Finally,the strain and stress are calculated with the derivative of displacement fields.Experiments show satisfactory results.
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