LSIIT UMR-CNRS UdS 7005, 67412 Illkirch, France.
IEEE Trans Image Process. 2011 Aug;20(8):2135-45. doi: 10.1109/TIP.2011.2158338. Epub 2011 May 31.
The estimation of one-to-one mappings is one of the most intensively studied topics in the research field of nonrigid registration. Although the computation of such mappings can be now accurately and efficiently performed, the solutions for using them in the context of binary image deformation is much less satisfactory. In particular, warping a binary image with such transformations may alter its discrete topological properties if common resampling strategies are considered. In order to deal with this issue, this paper proposes a method for warping such images according to continuous and bijective mappings while preserving their discrete topological properties (i.e., their homotopy type). Results obtained in the context of the atlas-based segmentation of complex anatomical structures highlight the advantages of the proposed approach.
一对一映射的估计是非刚性配准研究领域中研究最深入的主题之一。虽然现在可以精确高效地计算这种映射，但在二进制图像变形的上下文中使用它们的解决方案却不尽如人意。特别是，如果考虑常见的重采样策略，使用这种变换对二进制图像进行变形可能会改变其离散拓扑性质。为了解决这个问题，本文提出了一种根据连续和双射映射对二进制图像进行变形的方法，同时保持其离散拓扑性质（即同伦类型）。在基于图集的复杂解剖结构分割的背景下获得的结果突出了所提出方法的优势。
