Abstract
Watershed segmentation generally produces a severe oversegmentation. Marker based segmentation creates watershed partitions in which each region contains a marker, avoiding the oversegmentation. We obtain a coherent picture of marker based segmentation by modelling it on node or edge weighted graphs. Links are established between the methods published in the literature and some misconceptions are corrected.
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Beucher, S., Lantuéjoul, C.: Use of watersheds in contour detection. In: Proceedings of the International Workshop on Image Processing, Real-Time Edge and Motion Detection/Estimation (1979)
Gondran, M.: Path algebra and algorithms. In: Roy, B. (ed.) Combinatorial Programming: Methods and Applications. ASIC, vol. 19, pp. 137–148. Springer, Dordrecht (1975). https://doi.org/10.1007/978-94-011-7557-9_6
Hu, T.C.: The maximum capacity route problem. Oper. Res. 9(6), 898–900 (1961)
Lantuéjoul, C., Beucher, S.: On the use of the geodesic metric in image analysis. J. Microsc. 121, 39 (1981)
Meyer, F.: Un algorithme optimal de ligne de partage des eaux. In: Proceedings \(8^{ {\grave{e}me}}\) Congrès AFCET, Lyon-Villeurbanne, pp. 847–857 (1991)
Meyer, F.: Minimum spanning forests for morphological segmentation. In: Serra, J., Soille, P. (eds.) Mathematical Morphology and Its Applications to Image Processing. CIVI, vol. 2, pp. 77–84. Springer, Dordrecht (1994). https://doi.org/10.1007/978-94-011-1040-2_11
Meyer, F.: Flooding and segmentation. In: Goutsias, J., Vincent, L., Bloomberg, D.S. (eds.) Mathematical Morphology and its Applications to Image and Signal Processing. CIVI, vol. 18, pp. 189–198. Springer, Boston (2002). https://doi.org/10.1007/0-306-47025-X_21
Meyer, F.: Flooding edge or node weighted graphs. In: Hendriks, C.L.L., Borgefors, G., Strand, R. (eds.) ISMM 2013. LNCS, vol. 7883, pp. 341–352. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-38294-9_29
Meyer, F.: Watersheds on weighted graphs. Pattern Recognit. Lett. 47, 72–79 (2014)
Meyer, F.: Topographical Tools for Filtering and Segmentation 1: Watersheds on Node- or Edge-Weighted Graphs. ISTE/Wiley, London/Hoboken (2019)
Meyer, F.: Topographical Tools for Filtering and Segmentation 2: Floodings and Marker-Based Segmentation on Node- or Edge-Weighted Graphs. ISTE/Wiley, Etats-Unis/Newark (2019)
Meyer, F., Beucher, S.: Morphological segmentation. J. Vis. Commun. Image Represent. 1(1), 21–46 (1990)
Moore, E.F.: The shortest path through a maze. In: Proceedings of the International Symposium on Theory of Switching, vol. 30, pp. 285–292 (1957)
Vincent, L., Soille, P.: Watersheds in digitalspaces: an efficient algorithm based on immersion simulations. IEEE Trans. Pattern Anal. Mach. Intell. 1, 583 (1991)
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Meyer, F. (2019). Marker Based Segmentation Revisited. In: Burgeth, B., Kleefeld, A., Naegel, B., Passat, N., Perret, B. (eds) Mathematical Morphology and Its Applications to Signal and Image Processing. ISMM 2019. Lecture Notes in Computer Science(), vol 11564. Springer, Cham. https://doi.org/10.1007/978-3-030-20867-7_26
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DOI: https://doi.org/10.1007/978-3-030-20867-7_26
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