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Automated Axon Tracking of 3D Confocal Laser Scanning ...

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Once the hybrid algorithm tracks all the axons in the dataset, two kinds <strong>of</strong> segments <strong>of</strong>centerlines result: fragments that were tracked using the template-based approach and those thatwere tracked using a sequence <strong>of</strong> cross-s ectional slices. In order to build the <strong>3D</strong> model <strong>of</strong> thecenterlines, we need to locate the third dimension <strong>of</strong> each <strong>of</strong> these centers. Since the centerlinestracked using the template-based approach have no cross-over ambiguity, the third dimensioncan be easily found by searching for the local maximum intensity pixel in the correspondingslices in the dataset. In the latter case, the two dimensions <strong>of</strong> the centers <strong>of</strong> the segmentedregions, along with the slice number, give us the three dimensions <strong>of</strong> the centers. The results <strong>of</strong>the <strong>3D</strong> reconstruction <strong>of</strong> centerlines <strong>of</strong> axons in three datasets are shown in the next section. Theresults are validated with the manual tracking results and are compared with the repulsive snakealgorithm for robustness.3. ResultsThree datasets were analyzed using the hybrid algorithm proposed in this paper. The centerlines<strong>of</strong> the axons are presented in both two dimensions in the MIP image and in the three-dimensionaldomain. The various parameters that were manually initialized for the datasets are:• The number <strong>of</strong> cross-sectional slices in the dataset.• The MIP image <strong>of</strong> the dataset to be analyzed and the approximate maximum width <strong>of</strong> theaxons in the MIP image.• The resolution <strong>of</strong> the grid for the automatic detection <strong>of</strong> seeds in the MIP image for the 2Ddirectional template based tracking and the step size <strong>of</strong> the algorithm.• The initial seed points for the segmentation algorithm in the first axon cross-section eachtime when an axon cross-over is detected.23

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