Connected components in binary images: the detection problem
Connected components in binary images: the detection problem
Applications of spatial data structures: Computer graphics, image processing, and GIS
Applications of spatial data structures: Computer graphics, image processing, and GIS
Geometric triangulations, with application to fully automatic three-dimensional mesh generation
Geometric triangulations, with application to fully automatic three-dimensional mesh generation
IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
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Volumetric images of small mortar samples under load are acquired by X-ray microtomography. The images are binarized at many different threshold values, and over a million connected components are extracted at each threshold with a new, space and time efficient program. The rapid increase in the volume and surface area of the foreground components (cracks and air holes) is explained in terms of a simple model of digitization. Analysis of the data indicates that the foreground consists of thin, convoluted manifolds with a complex network topology, and that the crack surface area, whose increase with strain must correspond to the external work, is higher than expected.