1,285
Views
2
CrossRef citations to date
0
Altmetric
Articles

3D topological relationships of landforms and their spatial schema-based representation

Pages 238-246 | Received 09 Feb 2013, Accepted 20 Aug 2013, Published online: 19 Dec 2013

References

  • Chorley, R.J.; Schumm, S.A.; Sudgen, D.E.; Geomorphology; Methuen: London, 1984.
  • Hugget, R.J. Fundamentals of Geomorphology; Routledge: London, 2003.
  • Evans, I.S. General Geomorphometry, Derivates of Altitude, and Descriptive Statistics. In Spatial Analysis in Geomorphology; Chorley, R.J., Ed.; Methuen: London, 1972; pp 17–90.
  • Rasemann, S. Geomorphometrische Struktur eines mesoskaligen alpinen Geosystems [Geomorphometric Structure of an Meso-scale Alpine Geosystem]. Bonner Geographische Abhandlungen. 2004, 111, 240.
  • Summerfield, M.A. Global Geomorphology – An Introduction to the Study of Landforms; Addison Wesley Longman: Essex, 1997.
  • Kugler, H. Das Georelief und seine kartographische Modellierung [The Georelief and its Cartographic Modelling]. Dissertation B, Martin-Luther-Universität Halle, Halle, 1974.
  • Dikau, R. Geomorphologische Reliefklassifikation und -analyse [Geomorphologic Relief Classification and Analysis]. Heidelberger Geographische Arbeiten 1996, 104, 15–23.
  • Young, A. Slopes; Longman: London, 1978.
  • Open Geospatial Consortium. Abstract Specifications. http://www.opengeospatial.org/standards/as. (accessed Nov 6, 2013).
  • Kottman, C.; Reed, C. The OpenGIS® Abstract Specification Topic 5: Features, OGC Document 08-126, 2009
  • Herring, J. The OpenGIS abstract specification, Topic 1: Feature Geometry (ISO 19107 Spatial Schema), Version 5. OGC Document 01-101, 2001.
  • Requicha, A.A.G. Representation for Rigid Solids: Theory. Methods and Systems. ACM Computing Surveys. 1980, 12, 437–464.
  • Lake, R.; Burggraf, D.S.; Trininic, M.; Rae, L. GML – Geography Mark-Up Language; Wiley: Chichester, 2004.
  • Ahnert, F. Modelling Landform Change. In Modelling Geomorphological Systems: Anderson, M.G., Ed.; John Wiley & Sons: Chichester, 1988; pp 375–400.
  • Dikau, R. The Application of a Digital Relief Model to Landform Analysis in Geomorphology. In Three Dimensional Applications in Geographic Information Systems: Raper, J., Ed.; Taylor & Francis: London, 1989; pp 51–77.
  • Brunsden, D. Geomorphological Events and Landform Change. Z. Geomorph. N. F. Suppl.-Bd. 1996, 40, 273–288.
  • Ahnert, F. Einführung in die Geomorphologie [Introduction to Geomorphology]; Eugen Ulmer: Stuttgart, 1996.
  • Dikau, R. The need for field evidence in modelling landform evolution. In Process Modelling and Landform Evolution, Lecture Notes in Earth Sciences; Hergarten, S., Neugebauer, H., Eds., Vol. 78, 1999; pp 3–12.
  • Pike, R.; Dikau, R. Advances in Geomorphometry. Z. Geomorph., N.F., Suppl.-Bd. 1995, 101, Stuttgart,
  • Church, M.; Slaymaker, O. Disequilibrium of Holocene sediment yield in Glaciated British Columbia. Nature 1989, 337, 452–454.
  • Jordan, P.; Slaymaker, O. Holocene sediment production in Lillooet River Basin British Columbia: A sediment budget approach. Géographie physique et Quaternaire. 1991, 45, 45–57.
  • Chorley, R.J.; Kennedy, B.A. Physical Geography - A System Approach; London, 1971.
  • Löwner, M.-O. Formale semantische Modellierung von geomorphologischen Objekten und Prozessen des Hochgebirges zur Repräsentation in einem Geoinformationssystem (GIS) [Formal Semantically Modelling of Geomorphic Objects and Processes in Alpine Areas for the Representation within a Geo Information System (GIS)]. Bonner Geographische Abhandlungen 2008, 122, 120.
  • Löwner, M.-O. New GML-based Application Schema for Landforms, Processes and their Interaction. In Landform – Structure, Evolution, Process Control. Lecture Notes in Earth Sciences: Otto, J.-C., Dikau, R., Eds., Vol. 115, 2010; pp 21–36.
  • Löwner, M.-O.; Otto, J.-C. Towards an Automatic Identification of Sediment Cascades from Geomorphological Maps Using Graph Theory. In Proceedings of the International Symposium on ‘Sediment dynamics in changing environments’, Christchurch, New Zealand, Dec 1–5, 2008.
  • Diestel, R. Graph Theory; Springer: New York, 1997.
  • Löwner, M.-O.; T. Becker, A Topological Framework for the Temporal Aspects of Landform Development. ISPRS Ann. Photogramm. Remote Sens. Spatial Inf. Sci. 2013, II-2/W1, 237–246, DOI:10.5194/isprsannals-II-2-W1-237-2013.
  • Munkres, J.R. Elements of Algebraic Topology; Addison-Wesley, Menlo Park, CA, 1984.
  • Egenhofer, M.J. A Formal Definition of Binary Topological Relationships. Lecture Notes in Computer Science 1989, 367, 457–472.
  • Egenhofer, M.J.; Herring, J.R. A Mathematical Framework for the Definition of Topological Relations; In Proceedings of Fourth International Symposium on SDH, Zurich, Switzerland, 1990, pp 803–813.
  • Zlatanova, S. On 3D Topological Relationships, Proceedings of the 11th International Workshop on Database and Expert System Applications (DEXA 2000), Sept 6–8, 2000, Greenwich, London, UK, 913–919
  • Egenhofer, M.J.; Herring, J.R. Categorising Topological Relations between Regions, Lines and Points in Geographic Databases, The 9-intersections: Formalism and its Use for Natural Language Spatial Predicates, Technical Report 94–1; University of California, NCGIA, 1992.
  • Zlatanova, S.; Rahman, A.A.; Shi, W. Topological Models and Frameworks for 3D Spatial Objects. Comput. Geosci. 2004, 30, 419–428.
  • Bork, H.-R. Bodenerosion und Umwelt. Verlauf, Ursachen und Folgen der mittelalterlichen und neuzeitlichen Bodenerosion [Soil Erosion and the Environment. Process, Reasons and Consequences of Mediaeval and Todays Soil Erosion]. Landschaftsgenese und Landschaftsökologie. 1988, 13, 249.
  • Löwner, M.-O.; Preston, N.J.; Dikau, R. Reconstruction of a Colluvial Body using Geoelectrical Resistivity. Z. Geomorph. N. F. 2005, 49, 225–238.
  • Botschek, J.; Abel, S.; Skowronek, A. Tunnelerosion – unterirdischer Abtrag von Boden und Substrat [Tunnel Erosion – Subsurface Erosion of Soil and Substrate]. Mitteilungen der Deutschen Bodenkundlichen Gesellschaft 1996, 79, 359–362.
  • Botschek, J.; Skowronek, A. Zum Abtragspotential der Tunnelerosion [Erosion Potential of Tunnel Erosion]. Mitteilungen der Deutschen Bodenkundlichen Gesellschaft. 1999, 91, 1175–1178.
  • Gröger, G.; Kolbe, T.H.; Nagel, C.; Häfele, K.-H., Eds.; OGC City Geography Markup Language (CityGML) Encoding Standard, 2012.
  • Zheng, W.; Schenk, T. Building extraction and reconstruction from lidar data, International Archives of Photogrammetry and Remote Sensing, Vol. XXX. Amsterdam, Part B3, 2000; pp 958–964.
  • Löwner, M.-O. On Problems and Benefits of 3D Topology on Under-specified Geometries in Geomorphology. In Progress and New Trends in 3D Geoinformation Sciences. Lecture Notes in Geoinformation and Cartography; Pouliot, J., Daniel, S., Hubert, F., Zamyadi, A., Eds., 2013; pp 155–170.
  • Schrott, L.; Hoffmann, T. Seismic refraction. In Applied Geophysics in Periglacial Environments: Hauck, C., Kneisel, C., Eds.; Cambridge, 2008; pp 57–80.
  • Schrott, L.; Sass, O. Application of Field Geophysics in Geomorphology: Advances and Limitations Exemplified by Case Studies. Geomorphology 2008, 93, 55–73.
  • Otto, J.-C.; Dikau, R. Geomorphologic System Analysis of a High Mountain Valley in the Swiss Alps. Zeitschrift für Geomorphologie. 2004, 48, 323–341.
  • Otto, J.-C.; Schrott, L.; Jaboyedoff, M.; Dikau, R. Quantifying Sediment Storage in a High Alpine Valley (Turtmanntal, Switzerland). Earth Surf. Processes Landforms 2009, 34, 1726–1742.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.