IEEE Trans Image Process. 2011 Jun;20(6):1756-61. doi: 10.1109/TIP.2010.2095021. Epub 2010 Nov 29.
We propose a new approach to front propagation algorithms based on a topological variant of well-composedness which contrasts with previous methods based on simple point detection. This provides for a theoretical justification, based on the digital Jordan separation theorem, for digitally "gluing" evolved well-composed objects separated by well-composed curves or surfaces. Additionally, our framework can be extended to more relaxed topologically constrained algorithms based on multisimple points. For both methods this framework has the additional benefit of obviating the requirement for both a user-specified connectivity and a topologically-consistent marching cubes/squares algorithm in meshing the resulting segmentation.
我们提出了一种新的基于拓扑完备性的正向传播算法，与之前基于简单点检测的方法不同。这为数字“胶合”由拓扑曲线或曲面分隔的进化良好的完备对象提供了一个理论依据，该理论基于数字 Jordan 分离定理。此外，我们的框架可以扩展到基于多简单点的更宽松的拓扑约束算法。对于这两种方法，该框架的另一个好处是避免了在对分割结果进行网格化时对用户指定的连通性和拓扑一致的 marching cubes/squares 算法的需求。
