Splines for diffeomorphic image regression.
Splines for diffeomorphic image regression.
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DOI：
10.1007/978-3-319-10470-6_16
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Niethammer M
中科院分区：
文献类型：
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作者：
Singh N;Niethammer M
本文提出了一种用于图像回归的仿射样条方法。与先前提出的捕获图像随时间变化的方法（例如测地线回归）相比，该方法可以捕获更复杂的时空变形。特别地，这是朝向捕获例如心脏或肺的周期性运动的第一步。从一个变分制定样条所提出的方法允许使用的时间控制点来控制样条的行为。这就需要开发样条的射击公式。实验结果显示合成和真实的数据。该方法的性能进行了比较测地线回归。
This paper develops a method for splines on diffeomorphisms for image regression. In contrast to previously proposed methods to capture image changes over time, such as geodesic regression, the method can capture more complex spatio-temporal deformations. In particular, it is a first step towards capturing periodic motions for example of the heart or the lung. Starting from a variational formulation of splines the proposed approach allows for the use of temporal control points to control spline behavior. This necessitates the development of a shooting formulation for splines. Experimental results are shown for synthetic and real data. The performance of the method is compared to geodesic regression.