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New methods for the geometrical analysis of tubular organs

机译：管状器官几何分析的新方法

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Highlights ? A new orthogonal plane estimator for tubular organs is proposed. ? It can be used directly on the 3D segmented organ. ? Orthogonal planes allow us to refine existing skeletons by pruning and recentering. ? We also use orthogonal planes to compute our own curve-skeleton. ? The proposed methods are robust to noise, irregularities, and handle bifurcations. Graphical abstract Display Omitted Abstract This paper presents new methods to study the shape of tubular organs. Determining precise cross-sections is of major importance to perform geometrical measurements, such as diameter, wall-thickness estimation or area measurement. Our first contribution is a robust method to estimate orthogonal planes based on the Voronoi Covariance Measure. Our method is not relying on a curve-skeleton computation beforehand. This means our orthogonal plane estimator can be used either on the skeleton or on the volume. Another important step towards tubular organ characterization is achieved through curve-skeletonization, as skeletons allow to compare two tubular organs, and to perform virtual endoscopy. Our second contribution is dedicated to correcting common defects of the skeleton by new pruning and recentering methods. Finally, we propose a new method for curve-skeleton extraction. Various results are shown on different types of segmented tubular organs, such as neurons, airway-tree and blood vessels.
机译：强调 ？提出了一种用于管状器官的新正交平面估计器。还它可以直接在3D分段器官上使用。还正交的平面允许我们通过修剪和解来改善现有的骨架。还我们还使用正交的飞机来计算自己的曲线骨架。还所提出的方法对噪声，不规则性和手柄分叉具有鲁棒性。图形抽象显示省略摘要本文介绍了研究管状器官形状的新方法。确定精确的横截面是具有执行几何测量的主要重要性，例如直径，壁厚估计或区域测量。我们的第一批贡献是一种基于Voronoi协方差措施估算正交飞机的强大方法。我们的方法并不依赖于预先依赖曲线骨架计算。这意味着我们的正交平面估计器可以在骨架上或体积上使用。通过曲线骨架化实现朝向管状器官表征的另一个重要步骤，因为骨架允许比较两个管状器官，并执行虚拟内窥镜检查。我们的第二款贡献致力于通过新的修剪和清晰的方法纠正骨架的常见缺陷。最后，我们提出了一种曲线骨架提取的新方法。各种结果显示在不同类型的分段管状器官上，例如神经元，气道树和血管。

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