A Homology-based Algorithm for the Analysis of Structures
Observations of the microstructure of objects by means of a
microscope are carried out in different technical fields. The state
organization of iron with quenching-annealing and the human tissue
by biopsy are typical examples. Since the results of such
observations depend on the skills of the technician, objective
methods are required for the quantification of structures. When the
observed structures are very complex, the performance of pattern
recognition and Fourier methods is not satisfactory. In this talk,
I will introduce an algorithm based on the concept of homology. By
applying this method, we obtain rigorous quantitative estimates of
a structure. Several examples of its application will be presented.
