ISMM05 special issue

摘要

Mathematical Morphology (MM) stands as a peculiar branch of image processing and low-level vision. It is based on the notion that pictures represent geometrical objects with luminance (or colour) profiles, that can be analysed by their interactions with other geometrical objects. This has led to the development of an original mathematical theory, with links to abstract algebra, topology, discrete geometry, integral geometry, geometrical probability, differential equations, etc. At the same time, MM has been successfully applied to the solution of practical image analysis problems in various specialities, such as bio-medical imaging, geoscience and remote sensing, materials science, quality control, document processing and data analysis. Indeed, it provides fast (linear-time) and robust image processing algorithms, and it is especially suited to situations where the objects to be analysed have special geometrical or topological properties.