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16 May 2018 Characterizing three dimensional open cell structures without segmentation
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Foam cells, particle conglomerates, biological tissue slices and colloidal suspensions are just a few examples of collections that create an image with multiple touching or overlapping regions. The characterization of the open cell size of such a continuous structure is tedious and computationally intensive for large 3D data sets. Typically, it is accomplished by segmenting the cells with a watershed technique and aggregating the statistics of all regions found. This paper provides the mathematical foundation for a newly discovered relationship between the average pixel value of a Euclidean Distance Map (EDM) and the radius of a conic section. The implementation of this relationship allows for a computationally simple and accurate characterization of the aggregate diameter associated with these open cell structures without segmentation.
© (2018) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Joseph H. Nurre, Thomas E. Dufresne, and John H. Gideon "Characterizing three dimensional open cell structures without segmentation", Proc. SPIE 10666, Three-Dimensional Imaging, Visualization, and Display 2018, 106660U (16 May 2018);

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