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Proceedings Paper

Characterizing three dimensional open cell structures without segmentation
Author(s): Joseph H. Nurre; Thomas E. Dufresne; John H. Gideon
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Paper Abstract

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.

Paper Details

Date Published: 16 May 2018
PDF: 6 pages
Proc. SPIE 10666, Three-Dimensional Imaging, Visualization, and Display 2018, 106660U (16 May 2018); doi: 10.1117/12.2304394
Show Author Affiliations
Joseph H. Nurre, Proctor & Gamble Co. (United States)
Thomas E. Dufresne, Proctor & Gamble Co. (United States)
John H. Gideon, Univ. of Michigan (United States)


Published in SPIE Proceedings Vol. 10666:
Three-Dimensional Imaging, Visualization, and Display 2018
Bahram Javidi; Jung-Young Son; Osamu Matoba, Editor(s)

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