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首页> 外文期刊>Discrete and Continuous Dynamical Systems,Series S >3D IMAGE SEGMENTATION SUPPORTED BY A POINT CLOUD
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3D IMAGE SEGMENTATION SUPPORTED BY A POINT CLOUD

机译：3D点云支持的图像分段

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摘要

Here, we report a novel method of 3D image segmentation, usingsurface reconstruction from 3D point cloud data and 3D digital image infor-mation. For this task, we apply a mathematical model and numerical methodbased on the level set algorithm. This method solves surface reconstructionby the application of advection equation with a curvature term, which givesthe evolution of an initial condition to the final state. This is done by definingthe advective velocity in the level set equation as the weighted sum of distancefunction and edge detector function gradients. The distance function to theshape, represented by the point cloud, is computed using the fast sweepingmethod. The edge detector function is applied to the presmoothed 3D im-age. A crucial point for effciency is the construction of an initial condition bya simple tagging algorithm, which allows us also to highly speed up the nu-merical scheme when solving PDEs. For the numerical discretization, we usea semi-implicit co-volume scheme in the curvature part and implicit upwindscheme in the advective part. The method was tested on representative exam-ples and applied to real data representing 3D biological microscopic images ofdeveloping mammalian embryo.
机译：在这里，我们报告了一种新的3D图像分割方法，使用3D点云数据和3D数字图像Infor的表面重建 - 合适的。对于此任务，我们应用了数学模型和数值方法基于级别集算法。该方法解决了表面重建通过曲率术语的平程方程在曲率术语中的应用，这给了最终状态的初始条件的演变。这是通过定义完成的水平设定方程中的平流速度作为加权距离和功能和边缘检测器功能渐变。距离功能到由点云表示的形状使用快速扫描来计算方法。边缘探测器功能应用于预压织3D - 年龄。效力的关键点是建造初始条件一个简单的标记算法，它还允许我们高度加速nu-解决PDE时的合理方案。为了数值离散化，我们使用曲率部件中的半隐式共卷方案和隐式逆风方程式的方案。该方法对代表性考试进行了测试PLES并应用于代表3D生物学显微图像的真实数据开发哺乳动物胚胎。

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  • 作者

    BALAZS KOSA; KAROL MIKULA; MARKJOE OLUNNA UBA; ANTONIA WEBERLING; NEOPHYTOS CHRISTODOULOU; MAGDALENA ZERNICKA-GOETZ;

  • 作者单位

    Department of Mathematics and Descriptive GeometryFaculty of Civil Engineering Slovak University of TechnologyRadlinskeho 11 810 05 Bratislava Slovakia;

    Department of Mathematics and Descriptive GeometryFaculty of Civil Engineering Slovak University of TechnologyRadlinskeho 11 810 05 Bratislava Slovakia;

    Department of Mathematics and Descriptive GeometryFaculty of Civil Engineering Slovak University of TechnologyRadlinskeho 11 810 05 Bratislava Slovakia Department of MathematicsUniversity of Nigeria410001 Nsukka Nigeria;

    Mammalian Embryo and Stem Cell GroupUniversity of Cambridge Department of Physiology Development and NeuroscienceDowning Street Cambridge CB2 3EG UK;

    Department of Biological SciencesUniversity of CyprusUniversity Avenue 1 Nicosia 2109 Cyprus;

    Mammalian Embryo and Stem Cell GroupUniversity of Cambridge Department of Physiology Development and NeuroscienceDowning Street Cambridge CB2 3EG UK;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    Point cloud; level set methods; advection equation; reconstruction; image segmentation;

    机译：点云;级别设置方法;平面方程;重建;图像分割;

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