Marsland Stephen, McLachlan Robert
Massey University, Private Bag 11-222, Palmerston North, New Zealand.
Inf Process Med Imaging. 2007;20:396-407. doi: 10.1007/978-3-540-73273-0_33.
Diffeomorphic image registration, where images are aligned using diffeomorphic warps, is a popular subject for research in medical image analysis. We introduce a novel algorithm for computing diffeomorphic warps that solves the Euler equations on the diffeomorphism group explicitly, based on a discretisation of the Hamiltonian, rather than using an optimiser. The result is an algorithm that is many times faster than those considered previously.
微分同胚图像配准是医学图像分析中一个热门的研究课题，它通过微分同胚变换来对齐图像。我们提出了一种计算微分同胚变换的新算法，该算法基于哈密顿量的离散化，直接求解微分同胚群上的欧拉方程，而不是使用优化器。结果得到了一种比之前所考虑的算法快很多倍的算法。
