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C×C×C: Compressed Connected Components labeling algorithm

机译:C×C×C:压缩连接组件标记算法

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We propose Compressed Connected Components (C×C×C), a new fast algorithm for labeling connected components in binary images making use of compression. We break the given 3D image into non-overlapping 2×2×2 cube of voxels (2×2 square of pixels for 2D) and encode these binary values as the bits of a single decimal integer. We perform the connected component labeling on the resulting compressed data set. A recursive labeling approach by the use of smart-masks on the encoded decimal values is performed. The output is finally decompressed back to the original size by decimal-to-binary conversion of the cubes to retrieve the connected components in a lossless fashion. We demonstrate the efficacy of such encoding and labeling for large data sets (up to 1392×1040 for 2D and 512×512×336 for 3D). C×C×C reports a speed gain of 4x for 2D and 12x for 3D with memory savings of 75% for 2D and 88% for 3D over conventional (recursive growing of component labels) connected components algorithm. We also compare our method with VTK's "< vtkImageConnectMeasure >" filter and ITK's "< itk::ConnectedComponentImageFilter >" and find that we outperform both with speed gains of 3x and 6x for 3D. These features make C×C×C highly suitable for medical imaging and multi-media applications where the size of data sets and the number of connected components can be very large.
机译:我们提出了压缩连通分量(C×C×C),这是一种利用压缩来标记二进制图像中的连通分量的新的快速算法。我们将给定的3D图像分解为不重叠的2×2×2体素立方体(2D为2×2像素正方形),并将这些二进制值编码为单个十进制整数的位。我们对生成的压缩数据集执行连接的组件标记。通过对编码的十进制值使用智能掩码来执行递归标记方法。最后,通过多维数据集的十进制到二进制转换,将输出解压缩回原始大小,以无损方式检索连接的组件。我们证明了这种编码和标记对于大型数据集(对于2D高达1392×1040,对于3D高达512×512×336)的功效。 C×C×C报告说,与传统的(组件标签的递归增长)连接的组件算法相比,2D的速度提高了4倍,3D的速度提高了12倍,2D的内存节省了7%,3D的内存节省了88%。我们还将我们的方法与VTK的“ ”过滤器和ITK的“ ”进行比较,发现在3D方面我们的速度增益分别是3倍和6倍。这些功能使C×C×C非常适合于医学成像和多媒体应用,在这些应用中数据集的大小和所连接组件的数量可能非常大。

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