Langevin Equations for Landmark Image Registration with Uncertainty
Langevin Equations for Landmark Image Registration with Uncertainty
复制标题
用于不确定性地标图像配准的 Langevin 方程
DOI：
10.1137/16m1079282
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
T. Shardlow
中科院分区：
文献类型：
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作者：
S. Marsland;T. Shardlow
注册的图像参数化的地标提供了一个有用的方法来描述形状的变化，通过计算的最小能量的时间相关的变形场，流一个地标集到其他。这有时被称为测地线插值样条，并且可以通过哈密顿边界值问题来解决，以给出图像之间的同构配准。然而，界标位置的微小变化可能会在所得到的自同构中产生很大的变化。我们制定了一个朗之万方程看小随机扰动这个注册。朗之万方程和三个计算方便的近似介绍，并用作先验分布。然后使用贝叶斯框架来计算配准的后验分布，并且还制定多组地标的平均值。
Registration of images parameterised by landmarks provides a useful method of describing shape variations by computing the minimum-energy time-dependent deformation field that flows one landmark set to the other. This is sometimes known as the geodesic interpolating spline and can be solved via a Hamiltonian boundary-value problem to give a diffeomorphic registration between images. However, small changes in the positions of the landmarks can produce large changes in the resulting diffeomorphism. We formulate a Langevin equation for looking at small random perturbations of this registration. The Langevin equation and three computationally convenient approximations are introduced and used as prior distributions. A Bayesian framework is then used to compute a posterior distribution for the registration, and also to formulate an average of multiple sets of landmarks.
DOI：
10.1214/10-aap708
发表时间：
2011
期刊：
The Annals of Applied Probability
影响因子：
--
作者：
Hairer M
通讯作者：
Hairer M