7. Final discussion

The aim of this article was to provide as concise a presentation as possible of the main concepts, notions and mathematical frameworks involved in the processing and analysis of binary images. The author hopes to have achieved several objectives despite the small size of the paper:

• enable readers interested in imaging to better situate, in the world of mathematics, the methods and techniques for processing and analyzing binary images that they use, or wish or could use;

• show the more mathematically-inclined reader just how interesting mathematics can be, revealing some of its strengths as well as its weaknesses. Geometry, relatively little taught in France, plays the leading role in all its variations (Euclidean, differential, integral, stochastic, statistical, topological, algebraic, fractal). Topology and...