From mathematical morphology to morphological terrain features

Lecture Notes in Geoinformation and Cartography

Volumn 0, Issue 9783540367307, 2007, Pages 45-66

  Soille, Pierre ^a  

^a European Commission   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

LATTICE THEORY; MORPHOLOGY;

DIGITAL SPATIAL DATA; INTEGRAL GEOMETRY; LATTICE ALGEBRAS; PRACTICAL PROBLEMS; SPATIAL STRUCTURE; TERRAIN FEATURES;

MATHEMATICAL MORPHOLOGY;

EID: 84874547898     PISSN: 18632246     EISSN: 18632351     Source Type: Book Series    
DOI: 10.1007/978-3-540-36731-4_2     Document Type: Article

References (52)

1. Annoni, A. (2005). European Reference Grids, volume EUR 21494 EN. European Commission, Joint Research Centre. URL http://sdi.jrc.it/publist/annoni2005eurgrids.pdf
2. Annoni, A., Luzet, C., Gubler, E., and Ihde, J., editors (2003). Map Projections for Europe, volume EUR 20120 EN. European Commission, Joint Research Centre. URL http://sdi.jrc.it/publist/annoni-etal2003eur.pdf
3. Arrighi, P. and Soille, P. (1999). From scanned topographic maps to digital elevation models. In Jongmans, D., Pirard, E., and Trefois, P., editors, Proc. of Geovision’99: International Symposium on Imaging Applications in Geology, pages 1–4. Université de Liège, Belgium
4. Band, L. (1986). Topographic partition of watersheds with digital elevation models. Water Resources Research, 22(1):15–24
5. Bertolo, F. (2000). Catchment delineation and characterization: a review. Technical Report EUR 19563 EN, European Commission, Joint Research Centre
6. Beucher, S. (1982). Watersheds of functions and picture segmentation. In IEEE Int. Conf. on Acoustics, Speech and Signal Processing, pages 1928–1931, Paris
7. Chorowicz, J., Ichoku, C., Riazanoff, S., Kim, Y.-J., and Cervelle, B. (1992). A combined algorithm for automated drainage network extraction. Water Resources Research, 28(5):1293–1302. doi:10.1029/91WR03098
8. Colombo, R., Vogt, J., Soille, P., Paracchini, M., and de Jager, A. (2007). On the derivation of river networks and catchments at European scale from medium resolution digital elevation data. Catena. doi:10.1016/j.catena.2006.10.001. [Available online 22 November 2006]
9. Couprie, M., Najman, L., and Bertrand, G. (2005). Quasi-linear algorithms for the topological watershed. Journal of Mathematical Imaging and Vision, 22(23):231–249. doi:10.1007/s10851-005-4892-4
10. Douglas, D. (1986). Experiments to locate ridges and channels to create a new type of digital elevation model. Cartographica, 23(4):29–61
11. Garbrecht, J. and Martz, L. (1997). The assignment of drainage direction over flat surfaces in raster digital elevation models. Journal of Hydrology, 193:204–213. doi:10.1016/S0022-1694(96)03138-1
12. Haralick, R. (1983). Ridges and valleys on digital images. Computer Vision, Graphics, and Image Processing, 22:28–38
13. Howard, A. (1994). A detachment-limited model of drainage basin evolution. Water Resources Research, 30(7):2261–2285. doi:10.1029/94WR00757
14. Jenson, S. and Domingue, J. (1988). Extracting topographic structure from digital elevation data for geographic information system analysis. Photogrammetric Engineering and Remote Sensing, 54(11):1593–1600
15. Johnston, E. and Rosenfeld, A. (1975). Digital detection of pits, peaks, ridges, and ravines. IEEE Transactions on Systems, Man, and Cybernetics, 5:472–480
16. Mark, D. (1984). Automated detection of drainage networks from digital elevation models. Cartographica, 21:168–178
17. Martz, L. and de Jong, E. (1988). CATCH: a FORTRAN program for measuring catchment area from digital elevation models. Computers and Geosciences, 14(5):627–640. doi:10.1016/0098-3004(88)90018-0
18. Martz, L. and Garbrecht, J. (1998). The treatment of flat areas and depressions in automated drainage analysis of raster digital elevation models. Hydrological Processes, 12:843–855. doi:10.1002/(SICI)1099-1085(199805)12:61843::AIDHYP6583.0.CO;2-R
19. Martz, L. and Garbrecht, J. (1999). An outlet breaching algorithm for the treatment of closed depressions in a raster DEM. Computers and Geosciences, 25(7):835-844. doi:10.1016/S0098-3004(99)00018-7
20. Matheron, G. (1967). Eléments pour une theórie des milieux poreux. Masson, Paris
21. Matheron, G. (1975). Random sets and integral geometry. Wiley, New York
22. Meyer, F. and Beucher, S. (1990). Morphological segmentation. Journal of Visual Communication and Image Representation, 1(1):21–46. doi:10.1016/10473203(90)90014-M
23. Moore, I., Grayson, R., and Ladson, A. (1991). Digital terrain modelling: a review of hydrological, geomorphological, and biological applications. Hydrological Processes, 5:3–30
24. Morris, D. and Heerdegen, R. (1988). Automatically derived catchment boundaries and channel networks and their hydrological applications. Geomorphology, 1:131–141. doi:10.1016/0169-555X(88)90011-6
25. O’Callaghan, J. and Mark, D. (1984). The extraction of drainage networks from digital elevation data. Computer Vision, Graphics, and Image Processing, 28:323– 344
26. Peucker, T. and Douglas, D. (1975). Detection of surface-specific points by local parallel processing of discrete terrain elevation data. Computer Graphics and Image Processing, 4:375–387
27. Qian, J., Ehrich, R., and Campbell, J. (1990). DNESYS—An expert system for automatic extraction of drainage networks from digital elevation data. IEEE Transactions on Geoscience and Remote Sensing, 28(1):29–45. doi:10.1109/36.45743
28. Ranwez, V. and Soille, P. (2002). Order independent homotopic thinning for binary and grey tone anchored skeletons. Pattern Recognition Letters, 23(6):687–702. doi:10.1016/S0167-8655(01)00146-5
29. Rinaldo, A., Vogel, G., Rigon, R., and Rodriguez-Iturbe, I. (1995). Can one gauge the shape of a basin? Water Resources Research, 31(4):1119–1127. doi:10.1029/94WR03290
30. Seemuller, W. (1989). The extraction of ordered vector drainage networks from elevation data. Computer Vision, Graphics, and Image Processing, 47(1):45–58. doi:10.1016/0734-189X(89)90053-4
31. Serra, J. (1982). Image Analysis and Mathematical Morphology. Academic Press, London
32. Serra, J., editor (1988). Image Analysis and Mathematical Morphology. Volume 2: Theoretical Advances. Academic Press, London
33. Smith, T., Zhan, C., and Gao, P. (1990). A knowledge-based, two-step based procedure for extracting channel networks from noisy DEM data. Computers and Geosciences, 16(6):777–786. doi:10.1016/0098-3004(90)90003-C
34. Soille, P. (1988). Modèles numériques de terrain et morphologie mathématique : Délimitation automatique de bassins versants. Master’s thesis, Université catholique de Louvain, Louvain-la-Neuve, Belgique
35. Soille, P. (1991). Spatial distributions from contour lines: an efficient methodology based on distance transformations. Journal of Visual Communication and Image Representation, 2(2):138–150. doi:10.1016/1047-3203(91)90004-Y
36. Soille, P. (1992). Morphologie Mathématique : du Relief à la Dimensionalité — Algorithmes et Méthodes—. PhD thesis, Université catholique de Louvain ; en collaboration avec l’Ecole des Mines de Paris
37. Soille, P. (2002). Advances in the analysis of topographic features on discrete images. Lecture Notes in Computer Science, 2301:175–186. URL http://springerlink.metapress.com/link.asp?id=hkufqkd2ehbe43hl
38. Soille, P. (2003). Morphological Image Analysis: Principles and Applications. Springer-Verlag, Berlin Heidelberg New York, 2nd edition
39. Soille, P. (2004). Optimal removal of spurious pits in grid digital elevation models. Water Resources Research, 40(12):W12509. doi:10.1029/2004WR003060
40. Soille, P. and Ansoult, M. (1990). Automated basin delineation from digital elevation models using mathematical morphology. Signal Processing, 20:171–182. doi:10.1016/0165-1684(90)90127-K
41. Soille, P. and Gratin, C. (1994). An efficient algorithm for drainage networks extraction on DEMs. Journal of Visual Communication and Image Representation, 5(2):181–189. doi:10.1006/jvci.1994.1017
42. Soille, P., Vogt, J., and Colombo, R. (2003). Carving and adpative drainage enforcement of grid digital elevation models. Water Resources Research, 39(12):13-66. doi:10.1029/2002WR001879
43. Tarboton, D. (1997). A new method for the determination of flow directions and upslope areas in grid digital elevation models. Water Resources Research, 33(2):309-319. doi:10.1029/96WR03137
44. Tarboton, D., Bras, R., and Rodriguez-Iturbe, I. (1989). Scaling and elevation in river networks. Water Resources Research, 25:2037–2051
45. Tarboton, D., Bras, R., and Rodriguez-Iturbe, I. (1991). On the extraction of channel networks from digital elevation data. Hydrological Processes, 5:81–100
46. Toriwaki, J.-I. and Fukumara, T. (1978). Extraction of structural information from grey pictures. Computer Graphics and Image Processing, 7:30–51
47. Tribe, A. (1992). Automated recognition of valley lines and drainage networks from digital grid elevation models: a review and a new method. Journal of Hydrology, 139:263–293. doi:10.1016/0022-1694(92)90206-B
48. Vincent, L. and Soille, P. (1991). Watersheds in digital spaces: an efficient algorithm based on immersion simulations. IEEE Transactions on Pattern Analysis and Machine Intelligence, 13(6):583–598. doi:10.1109/34.87344
49. Vogt, J., Colombo, R., and Bertolo, F. (2003a). Deriving drainage networks and catchment boundaries: a new methodology combining digital elevation data and environmental characteristics. Geomorphology, 53(3-4):281–298. doi:10.1016/S0169-555X(02)00319-7
50. Vogt, J., Colombo, R., Paracchini, M., Soille, P., de Jager, A., and Folving, S. (2003b). A European landscape stratification reflecting drainage density. In Helming, K. and Wiggering, H., editors, Sustainable Development of Multifunctional Landscapes, pages 95–110. Springer-Verlag, Berlin Heidelberg New York
51. Vogt, J., Soille, P., Colombo, R., Paracchini, M., and de Jager, A. (2007). Development of a pan-European river and catchment database. In Peckham, R. and Jordan, G., editors, Digital Terrain Modelling, pp. 121–144. Springer-Verlag
52. Zhang, M., Campbell, J., and Haralick, R. (1990). Automatic delineation of drainage basins within digital elevation data using the topographic primal sketch. Mathematical Geology, 22(2):189–209