Understanding of ridge-valley lines on image-intensity surfaces in scale-space
When a grey-scale image is regarded as a surface, the considerable topographic primal structures are stationary points, ridge and valley lines. The ridge and valley lines are rich in information because they pass through all stationary points, and are invariant with respect to monotonic image transformations. As images can be interpreted at multiresolutions by using scale-space filtering, this paper presents an analysis of the local topology of ridge-valley lines and its change in the scale-space. The result shows that the topology of ridge-valley lines along a stationary path will change when the path reaches a singular stationary point or an umbilicus; whereas the change at any non-stationary point occurs when a ridge-valley line gets contact with another or vanishes.
Unable to display preview. Download preview PDF.
- [Ma1]Marr, D., Hildreth H.: Theory of Edge Detection. Proc. Roy. Soc. London B207 (1980) 187–217Google Scholar
- [Wi1]Witkin, A. P.: Scale-Space Filtering. Proc. 7th Int. Joint Conf. Artificial Intelligence (1983) 1019–1022Google Scholar
- [HLW]Haralick, R. M., Laffey, T. J., Watson, L. T.: The Topographic Primal Sketch. Int. J. Robotics Research 2 (1983) 50–72Google Scholar
- [Ko1]Koenderink, J. J.: The Structure of Images. Biol. Cybern. 50 (1984) 363–370Google Scholar
- [EK1]Enomoto, H., Katayama, T.: Structural Lines of Images. Proc. 2st USA-Japan Comp. Conf. (1975) 470–474Google Scholar
- [EK2]Enomoto, H., Katayama, T.: Computer Experiment on Global Properties of Structure Lines of Images using Graphic Display and its Consideration. Information Processing 17 (1976) 641–649 (written in Japanese).Google Scholar