Vercauteren Tom, Pennec Xavier, Perchant Aymeric, Ayache Nicholas
Asclepios Research Group, INRIA Sophia-Antipolis, France.
Med Image Comput Comput Assist Interv. 2007;10(Pt 2):319-26. doi: 10.1007/978-3-540-75759-7_39.
We propose a non-parametric diffeomorphic image registration algorithm based on Thirion's demons algorithm. The demons algorithm can be seen as an optimization procedure on the entire space of displacement fields. The main idea of our algorithm is to adapt this procedure to a space of diffeomorphic transformations. In contrast to many diffeomorphic registration algorithms, our solution is computationally efficient since in practice it only replaces an addition of free form deformations by a few compositions. Our experiments show that in addition to being diffeomorphic, our algorithm provides results that are similar to the ones from the demons algorithm but with transformations that are much smoother and closer to the true ones in terms of Jacobians.
我们提出了一种基于蒂里翁（Thirion）的恶魔算法的非参数微分同胚图像配准算法。恶魔算法可被视为对位移场整个空间的一种优化过程。我们算法的主要思想是使该过程适用于微分同胚变换空间。与许多微分同胚配准算法不同，我们的解决方案在计算上是高效的，因为在实际中它只需通过几次合成来替代自由形式变形的加法运算。我们的实验表明，除了具有微分同胚性之外，我们的算法所提供的结果与恶魔算法的结果相似，但在雅可比行列式方面，其变换更加平滑且更接近真实变换。
