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. 1 Objectives and Scope of the Paper Many attempts to model or recognize shape and form are based on a bi-level representation of relatively simple objects. In contrast, we are faced with an engineering problem characterized by sequences of large, complex, volumetric gray-scale images. This data was produced by a unique im...
George Nagy, Tong Zhang, W. R. Franklin, Eric Land