We develop an operator splitting approach to solve diffeomorphic matching problems for sequences of surfaces in three-dimensional space. The goal is to smoothly match, at very fast rate, finite sequences of observed 3D-snapshots extracted from movies recording the smooth dynamic deformations of “soft” surfaces. We have implemented our algorithms in a proprietary software installed at The Methodist Hospital (Cardiology) to monitor mitral valve strain through computer analysis of noninvasive patients echocardiographies.

中文翻译：

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在 3D 心脏病学成像中通过算子分裂进行微分形态匹配

我们开发了一种算子分裂方法来解决三维空间中表面序列的微分同胚匹配问题。目标是以非常快的速度平滑匹配从记录“软”表面平滑动态变形的电影中提取的观察到的 3D 快照的有限序列。我们在卫理公会医院（心脏病学）安装的专有软件中实施了我们的算法，通过对无创患者超声心动图的计算机分析来监测二尖瓣应变。