Generalization of Deformable Registration in Riemannian Sobolev Spaces

摘要：

In this work we discuss the generalized treatment of the deformable registration problem in Sobolev spaces. We extend previous approaches in two points: 1) by employing a general energy model which includes a regularization term, and 2) by changing the notion of distance in the Sobolev space by problem-dependent Riemannian metrics. The actual choice of the metric is such that it has a preconditioning effect on the problem, it is applicable to arbitrary similarity measures, and features a simple implementation. The experiments demonstrate an improvement in convergence and runtime by several orders of magnitude in comparison to semi-implicit gradient flows in L2. This translates to increased accuracy in practical scenarios. Furthermore, the proposed generalization establishes a theoretical link between gradient flow in Sobolev spaces and elastic registration methods.

关键词： Deformable Registration Sobolev Spaces Riemannian Manifolds Preconditioning

作者: Darko Zikic Maximilian Baust Ali Kamen Nassir Navab

作者单位: Computer Aided Medical Procedures (CAMP), TU M¨unchen, Germany Siemens Corporate Research (SCR), Princeton, NJ, USA Computer Aided Medical Procedures (CAMP), TU Munchen, Germany

会议类型: 国际会议

会议名称: The 13th International Conference on Medical Image Computing and Computer-Assisted Intervention(第13届医学影像计算与计算机辅助介入国际会议 MICCAI 2010)

会议地点: 北京

会议语种:英文

页码: 586-593

在线出版日期: 2010-09-01（万方平台首次上网日期，不代表论文的发表时间）