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8. 72. 9. 7. 7. 75. 4. 71. 5. 74. 73. 3. 6. 25. 1. 24. 21. 2. 2. 27. 26. 22. 23. Watershed decomposition . Digital elevation map. Pfafstetter labels. USGS (manually). Overlay. TerraSTREAM: Pfafstetter Labeling. I/O-Efficient Algorithm.
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8 72 9 7 7 75 4 71 5 74 73 3 6 25 1 24 21 2 2 27 26 22 23 Watershed decomposition Digital elevation map Pfafstetter labels USGS (manually) Overlay • TerraSTREAM: Pfafstetter Labeling I/O-Efficient Algorithm Watershed Decomposition Pfafstetter Labels • Watershed decomposition is a fundamental task in terrain analysis • Watershed of a river = area which drains to the river • Terrain dividable into (hierarchy) of watersheds • A river’s watershed can be subdivided into the watersheds of the river‘s tributaries • Identify main river • Find the 4 largest tributaries (orange) • Label tributaries (even) and interbasins (odd) • Recursively label all tributaries and interbasins • “Sanity check”: Pfafstetter decomposition “matches” manually • constructed watershed decompositions • Modern terrain data is massive I/O-efficient Pfafstetter labeling algorithms needed • We develop I/O-efficient algorithm by exploiting • Terrain decomposable into rivers, i.e. into tributaries • Tributaries form a tree • Rivers can be labeled individually • Label prefixes can be “forwarded” to tributaries Current and Future Work • Watershed queries: Retrieval (and decomposition) of watershed for individual user-specified location • Meaningful labeling along coast lines, e.g., label the coastal watersheds independently or as tributaries of the “coastal river” Subdividing into Watersheds within TerraSTREAM + = Independent costal watersheds Connected coastal watersheds References References [1] L. Arge, A. Danner, H. Haverkortand N. Zeh. I/O-Efficient Hierarchical Watershed Decomposition of Grid Terrain Models. In Proc. 12th Intl. Symp. on Spatial Data Handling, SDH, 2007. [2] K. L. Verdin and J. P. Verdin. A topological system for delineation and codification of the Earth's river basins. Journal of Hydrology, 218, 1-12, 1999. Subdivision of a watershed MADALGO – Center for Massive Data Algorithmics, a Center of the Danish National Research Foundation