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Surface Skeletons Detected on the D~6 Distance Transform

机译:在D〜6距离变换上检测到的表面骨架

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摘要

We present an algorithm for extracting the surface skeleton of a 3D object from its D~6 distance transform. The skeletal voxels are directly detected and marked on the distance transform within a small number of inspections, independent of object thickness. This makes the algorithm preferable with respect to algorithms based on iterative application of topology preserving removal operations, when working with thick objects. The set of skeletal voxels is centred within the object, symmetric, and topologically correct. It is at most 2-voxel wide (except for some cases of surface intersections) and includes all centres of maximal D~6 balls, which makes skeletonization reversible. Reduction to a unit wide surface skeleton can be obtained by suitable post-processing.
机译:我们提出了一种从3D对象的D〜6距离变换中提取其表面骨架的算法。骨骼体素可在少量检查中直接检测并标记在距离变换上,而与对象厚度无关。当处理厚对象时,这使该算法相对于基于拓扑保留删除操作的迭代应用的算法更为可取。一组骨架体素在对象内居中,对称且拓扑正确。它最多2体素宽(某些表面相交情况除外),并且包括最大D〜6球的所有中心,这使得骨架化是可逆的。可以通过适当的后处理将其还原为单位宽度的表面骨架。

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