1. Introduction -- 2. Mathematical morphology : an introduction -- 3. Simulated, realistic digital elevation models, digital bathymetric maps, remotely sensed data, and thematic maps -- 4. Feature extraction -- 5. Terrestrial surface characterization : a quantitative perspective -- 6. Size distributions, spatial heterogeneity, and scaling laws -- 7. Morphological shape decomposition : scale-invariant but shape-dependent measures -- 8. Granulometries, convexity measures, and geodesic spectrum for DEM analyses -- 9. Synthetic examples to understand spatiotemporal dynamics of certain geo(morpho)logical processes -- 10. Quantitative spatial relationships and spatial reasoning -- 11. Derivation of spatially significant zones from a cluster -- 12. Directional spatial relationship -- 13. "Between" space -- 14. Spatial interpolations.