Self-repelling snakes for topology-pre serving segmentation models
Self-repelling snakes for topology-pre serving segmentation models
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DOI：
10.1109/tip.2008.919951
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发表时间：
2008-05-01
影响因子：
10.6
通讯作者：
Vese, Luminita A.
中科院分区：
文献类型：
--
作者：
Le Guyader, Carole;Vese, Luminita A.
水平集方法的隐式框架在跟踪传播前沿时有几个优点。实际上，进化的轮廓嵌入在一个高维的水平集函数中，它的进化可以用欧拉公式来表达。这种内在方法处理拓扑变化（合并和分解）的能力使其在广泛的应用（流体力学，计算机视觉）中非常有用，特别是在图像分割中，这是本文的主要主题。然而，在某些应用程序中，这种拓扑灵活性是不可取的：例如，当要检测的形状具有已知的拓扑结构时，或者当结果形状必须与初始形状同胚时。设计拓扑保持过程的必要性出现在医学成像中，例如，在人类皮层重建中。众所周知，人类皮层具有球形拓扑结构，因此在整个重建过程中必须保留这种拓扑结构特征。因此，本文提出了一种基于隐式水平集公式和基于测地线活动轮廓的分割模型，其中实施了拓扑约束。
The implicit framework of the level-set method has several advantages when tracking propagating fronts. Indeed, the evolving contour is embedded in a higher dimensional level-set function and its evolution can be phrased in terms of a Eulerian formulation. The ability of this intrinsic method to handle topological changes (merging and breaking) makes it useful in a wide range of applications (fluid mechanics, computer vision) and particularly in image segmentation, the main subject of this paper. Nevertheless, in some applications, this topological flexibility turns out to be undesirable: for instance, when the shape to be detected has a known topology, or when the resulting shape must be homeomorphic to the initial one. The necessity of designing topology-preserving processes arises in medical imaging, for example, in the human cortex reconstruction. It is known that the human cortex has a spherical topology so throughout the reconstruction process this topological feature must be preserved. Therefore, we propose in this paper a segmentation model based on an implicit level-set formulation and on the geodesic active contours, in which a topological constraint is enforced.