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Topological Simplification Of Isosurfaces In Volumetricdata Using Octrees

机译:使用八进制简化体积数据中等值面的拓扑

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Volumetric data, such as output from CT scans or laser range scan processing methods, often have isosurfaces that contain topological noise-small handles and holes that are not present in the original model. Because this noise can significantly degrade the performance of other geometric processing algorithms, we present a volumetric method that removes the topological noise and patches holes in undefined regions for a given isovalue. We start with a surface completely inside the isosurface of interest and a surface completely outside the isosurface. These surfaces are expanded and contracted, respectively, on a voxel-by-voxel basis. Changes in topology of the surfaces are prevented at every step using a local topology test. The result is a pair of surfaces that accurately reflect the geometry of the model but have simple topology. We represent the volume in an octree format for improved performance in space and time.
机译:体积数据(例如,CT扫描或激光距离扫描处理方法的输出结果)通常具有包含拓扑噪声的等值面-小手柄和原始模型中不存在的孔。由于此噪声会显着降低其他几何处理算法的性能,因此我们提出了一种体积方法,该方法可消除拓扑噪声并为给定的等值线在未定义区域中打孔。我们从完全在感兴趣的等值面内部的表面和完全在等值面外部的表面开始。这些表面分别在逐个体素的基础上扩展和收缩。使用局部拓扑测试可以在每个步骤中防止表面拓扑的变化。结果是一对表面可以准确反映模型的几何形状但具有简单的拓扑。我们以八叉树格式表示体积,以提高空间和时间性能。

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