We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
MESH FREE ESTIMATION OF THE STRUCTURE MODEL INDEX.
- Authors
Ohser, Joachim; Redehbach, Claudia; Schladitz, Katja
- Abstract
The structure model index (SMI) is a means of subsuming the topology of a homogeneous random closed set under just one number, similar to the isoperimetric shape factors used for compact sets. Originally, the SMI is defined as a function of volume fraction, specific surface area and first derivative of the specific surface area, where the derivative is defined and computed using a surface meshing. The generalised Steiner formula yields however a derivative of the specific surface area that is - up to a constant - the density of the integral of mean curvature. Consequently, an SMI can be defined without referring to a discretisation and it can be estimated from 3D image data without need to mesh me surface but using the number of ocurrences of 2 × 2 × 2 pixel configurations, only. Obviously, it is impossible to completely describe a random closed set by one number. In this paper, Boolean models of balls and infinite straight cylinders serve as cautionary examples pointing out me limitations of the SMI. Nevertheless, shape factors like the SMI can be valuable tools for comparing similar structures. This is illustrated on real microstructures of ice, foams, and paper.
- Subjects
THREE-dimensional imaging; IMAGING systems; MESHFREE methods; NUMERICAL analysis; PARTITION of unity method; TOPOLOGY; SET theory; GEOMETRIC probabilities; RANDOM sets
- Publication
Image Analysis & Stereology, 2009, Vol 28, Issue 3, p179
- ISSN
1580-3139
- Publication type
Article