Abstract
We extend pit filling and basin hierarchy computation to TIN terrain models. These operations are relatively easy to implement in drainage computations based on networks (e.g., raster D8 or Voronoi dual) but robustness issues make them difficult to implement in an otherwise appealing model of water flow on a continuous surface such as a TIN. We suggest a consistent solution of the robustness issues, then augment the basin hierarchy graph with different functions for how basins fill and spill to simplify the watershed graph to the essentials. Our solutions can be tuned by choosing a small number of intuitive parameters to suit applications that require a data-dependent selection of basin hierarchies.
Research partially supported by NSF grant 9988742.
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References
P. Alliez, O. Devillers, and J. Snoeyink. Removing degeneracies by perturbing the problem or perturbing the world. Reliable Computing, 6:61–79, 2000.
T-Y Chou, W-T Lin, C-Y Lin, W-C Chou, and P-H Huang. Application of the PROMETHEE technique to determine depression outlet location and flow direction in DEM. J Hydrol, 287(1–4):49–61, 2004.
H. Edelsbrunner and E.P. Mücke. Simulation of simplicity: A technique to cope with degenerate cases in geometric algorithms. ACM TOG., 9(1):66–104, 1990.
J. Fairfield and P. Leymarie. Drainage networks from grid digital elevation models. Water Resour. Res, 27:709–717, 1991.
Federal standards for delineation of hydrologic unit boundaries. version 1.0. http://www.ftw.nrcs.usda.gov/HUC/HU_standards_v1_030102.doc, mar 2001.
A.U. Frank, B. Palmer, and V.B. Robinson. Formal methods for the accurate definition of some fundamental terms in physical geography. In Proc. 2nd Intl. SDH, pages 585–599, 1986.
Leonidas J. Guibas and J. Stolfi. Primitives for the manipulation of general subdivisions and the computation of Voronoi diagrams. ACM TOG, 4(2):74–123, 1985.
M.F. Hutchinson. Calculation of hydrologically sound digital elevation models. In Proc. 3rd Int. SDH, pages 117–133, 1988.
S.K. Jenson and J.O. Domingue. Extracting topographic structure from digital elevation data for geographic information system analysis. Photogrammetric Engineering and Remote Sensing, 54(11):1593–1600, Nov. 1988.
S.K. Jenson and C.M. Trautwein. Methods and applications in surface depression analysis. In Proc. AUTO-CARTO 8, pages 137–144, 1987.
M.P. Kumler. An intensive comparison of triangulated irregular networks (TINs) and digital elevation models (DEMs). Cartog., 31(2), 1994. mon 45.
D.S. Mackay and L.E. Band. Extraction and representation of nested catchment areas from digital elevation models in lake-dominated topography. Water Resources Research, 34(4):897–902, 1998.
David R. Maidment. GIS and hydrologic modeling — an assessment of progress. In Proc. Third Conf. GIS and Environmental Modeling, Santa Fe, NM, 1996. NCGIA http://www.sbg.ac.at/geo/idrisi/gis_environmental_modeling/sf_papers/maidment_david/maidment.html.
D. Marks, J. Dozier, and J. Frew. Automated basin delineation from digital elevation data. Geo-Processing, 2:299–311, 1984.
L.W. Martz and J. Garbrecht. The treatment of flat areas and closed depressions in automated drainage analysis of raster digital elevation models. Hydrological Processes, 12:843–855, 1998.
L.W. Martz and J. Garbrecht. An outlet breaching algorithm for the treatment of closed depressions in a raster DEM. Computers and Geosciences, 25, 1999.
M. McAllister. The Computational Geometry of Hydrology Data in Geographic Information System. Ph.D. thesis, UBC CS, Vancouver, 1999.
O.L. Palacios-Velez and B. Cuevas-Renaud. Automated river-course, ridge and basin delineation from digital elevation data. J Hydrol, 86:299–314, 1986.
J. Shewchuk. Adaptive precision floating point arithmetic and fast robust geometric predicates. Discrete & Comp. Geom. 18:305–363, 1997.
A.T. Silfer, G.J. Kinn, and J.M. Hassett. A geographic information system utilizing the triangulated irregular network as a basis for hydrologic modeling. In Proc. Auto-Carto 8, pages 129–136, 1987.
D.M. Theobald and M.F. Goodchild. Artifacts of TIN-based surface flow modeling. In Proc. GIS/LIS’90, pages 955–964, 1990.
G.E. Tucker, S.T. Lancaster, N.M. Gasparini, R.L. Bras, S.M. Rybarczyk. An object-oriented framework for distributed hydrologic and geomorphic modeling using triangulated irregular networks. Comp Geosc, 27(8):959–973, 2001.
K. Verdin and S. Jenson. Development of continental scale DEMs and extraction of hydrographic features. In Proc. 3rd Conf. GIS and Env. Model., Santa Fe, 1996. http://edcdaac.usgs.gov/gtopo30/papers/santafe3.html.
J.V. Vogt, R. Colombo, and F. Bertolo. Deriving drainage networks and catchment boundaries: a new methodology combining digital elevation data and environmental characteristics. Geomorph., 53(3–4):281–298, July 2003.
S. Yu, M. van Kreveld, and J. Snoeyink. Drainage queries in TINs: from local to global and back again. In Proc. 7th SDH, pages 13A.1–13A.14, 1996.
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© 2005 Springer-Verlag Berlin Heidelberg
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Liu, Y., Snoeyink, J. (2005). Flooding Triangulated Terrain. In: Developments in Spatial Data Handling. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26772-7_11
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DOI: https://doi.org/10.1007/3-540-26772-7_11
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