Babaniyi Olalekan A, Oberai Assad A, Barbone Paul E
Department of Mechanical Engineering, Boston University, 110 Cummington Mall, Boston, MA 02215, USA.
Mechanical Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute, 110 8th street, Troy, NY 12180, USA.
Inverse Probl Sci Eng. 2017;25(3):326-362. doi: 10.1080/17415977.2016.1161034. Epub 2016 Mar 28.
We consider the problem of estimating the 2 vector displacement field in a heterogeneous elastic solid deforming under plane stress conditions. The problem is motivated by applications in quasistatic elastography. From precise and accurate measurements of one component of the 2 vector displacement field and very limited information of the second component, the method reconstructs the second component quite accurately. No a priori knowledge of the heterogeneous distribution of material properties is required. This method relies on using a special form of the momentum equations to filter ultrasound displacement measurements to produce more precise estimates. We verify the method with applications to simulated displacement data. We validate the method with applications to displacement data measured from a tissue mimicking phantom, and in-vivo data; significant improvements are noticed in the filtered displacements recovered from all the tests. In verification studies, error in lateral displacement estimates decreased from about 50% to about 2%, and strain error decreased from more than 250% to below 2%.
我们考虑在平面应力条件下变形的非均匀弹性固体中估计二维向量位移场的问题。该问题由准静态弹性成像中的应用所推动。通过对二维向量位移场的一个分量进行精确测量，并结合第二个分量的非常有限的信息，该方法能够相当准确地重建第二个分量。不需要关于材料特性非均匀分布的先验知识。此方法依赖于使用动量方程的特殊形式来过滤超声位移测量值，以产生更精确的估计。我们通过将该方法应用于模拟位移数据来进行验证。我们通过将该方法应用于从组织模拟体模测量的位移数据以及体内数据来进行验证；在所有测试中恢复的滤波后位移都有显著改善。在验证研究中，横向位移估计误差从约50%降至约2%，应变误差从超过250%降至2%以下。
