Digital Topology and Geometry in Medical Imaging: A Survey
Digital Topology and Geometry in Medical Imaging: A Survey
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DOI：
10.1109/tmi.2015.2417112
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发表时间：
2015-09-01
影响因子：
10.6
通讯作者：
Borgefors, Gunilla
中科院分区：
文献类型：
--
作者：
Saha, Punam K.;Strand, Robin;Borgefors, Gunilla
数字拓扑和几何是指在数字网格中定义的图像的拓扑和几何属性和特征的使用。这些方法已被广泛应用于许多医学成像应用，包括图像分割，可视化，操作，插值，配准，表面跟踪，对象表示，校正，定量形态学等。数字拓扑和几何在医学成像研究中发挥着重要作用，丰富了目标结果的范围，并增加了强大的理论基础，增强了稳定性，保真度和效率。本文介绍了一个全面而紧凑的调查结果，原则和见解的方法，数字拓扑和几何结构，重点是了解他们在各种医学成像应用中的作用。具体而言，本文回顾了与距离分析和路径传播，连接，表面跟踪，图像分割，边界和中心线检测，拓扑结构保持和局部拓扑性质，拓扑结构化，对象表示，校正和定量形态学相关的方法。在本文中回顾的主题之间的一个共同点是，他们的理论和算法使用数字路径连接，路径传播和邻域分析的原则。
Digital topology and geometry refers to the use of topologic and geometric properties and features for images defined in digital grids. Such methods have been widely used in many medical imaging applications, including image segmentation, visualization, manipulation, interpolation, registration, surface-tracking, object representation, correction, quantitative morphometry etc. Digital topology and geometry play important roles in medical imaging research by enriching the scope of target outcomes and by adding strong theoretical foundations with enhanced stability, fidelity, and efficiency. This paper presents a comprehensive yet compact survey on results, principles, and insights of methods related to digital topology and geometry with strong emphasis on understanding their roles in various medical imaging applications. Specifically, this paper reviews methods related to distance analysis and path propagation, connectivity, surface-tracking, image segmentation, boundary and centerline detection, topology preservation and local topological properties, skeletonization, and object representation, correction, and quantitative morphometry. A common thread among the topics reviewed in this paper is that their theory and algorithms use the principle of digital path connectivity, path propagation, and neighborhood analysis.