New efficient methods for calculating watersheds

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2009, Issue 9, 2009, Pages

  Fehr, E ^a   Andrade Jr , J S ^a,b   Da Cunha, S D ^c   Da Silva, L R ^c   Herrmann, H J ^a,b   Kadau, D ^a   Moukarzel, C F ^a,d   Oliveira, E A ^b  

^a ETH ZURICH   (Switzerland)

^b FEDERAL UNIVERSITY OF CEARÁ   (Brazil)

^c FEDERAL UNIVERSITY OF RIO GRANDE DO NORTE   (Brazil)

^d DEPARTAMENTO DE FÍSICA APLICADA   (Mexico)

Author keywords

Fractal growth (theory); Fracture (theory); Percolation problems (theory)

Indexed keywords

EID: 72449202808     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2009/09/P09007     Document Type: Article

References (40)

1. Vorosmarty C J, Federer C A and Schloss A L 1998 Evaporation functions compared on US watersheds: possible implications for global-scale water balance and terrestrial ecosystem modeling J. Hydrol. 207 147
2. Kwarteng A Y et al 2000 Formation of fresh ground-water lenses in northern Kuwait J. Arid Environ. 46 137
3. Sarangi A and Bhattacharya A K 2005 Comparison of artificial neural network and regression models for sediment loss prediction from Banha watershed in India Agrc. Water Manage. 78 195
4. Dhakal A S and Sidle R C 2004 Distributed simulations of landslides for different rainfall conditions Hydrol. Process. 18 757
5. Pradhan B, Singh R P and Buchroithner M F 2006 Estimation of stress and its use in evaluation of landslide prone regions using remote sensing data Adv. Space Res. 37 698
6. Lee K T and Lin Y T 2006 Flow analysis of landslide dammed lake watersheds: a case study J. Am. Water Resour. Assoc. 42 1615
7. Lazzari M et al 2006 Natural hazards versus human impact: an integrated methodological approach in geomorphological risk assessment on the Tursi historical site, Southern Italy Landslides 3 275
8. Burlando P, Mancini M and Rosso R 1994 FLORA-a distributed flood risk analyzer IFIP Trans. B 16 91
9. Yang D Q et al 2007 Streamflow response to seasonal snow cover mass changes over large Siberian watersheds J. Geophys. Res.-Earth 112 F02S22
10. Vincent L and Soille P 1991 Watersheds in digital spaces-an efficient algorithm based on immersion simulations IEEE Trans. Pattern Anal. 13 583
11. Gao H, Siu W C and Hou C H 2001 Improved techniques for automatic image segmentation IEEE Trans. Circuits Syst. Video Technol. 11 1273
12. Shapiro LG and Stockman GC 2001 Computer Vision (Englewood Cliffs, NJ: Prentice-Hall) pp279-325
13. Bruyant P P and King M A 2002 The rain algorithm: an edge-preserving smoothing filter using the watershed transform J. Nucl. Med. 43 206P
14. Mao K Z, Zhao P and Tan P H 2006 Supervised learning-based cell image segmentation for P53 immunohisto-chemistry IEEE Trans. BioMed. Eng. 53 1153
15. Vidal F P et al 2006 Principles and applications of computer graphics in medicine Comput. Graph. Forum 25 113
16. Yan J Y et al 2006 Marker-controlled watershed for lymphoma segmentation in sequential CT images Med. Phys. 33 2452
17. Ikedo Y et al 2007 Development of a fully automatic scheme for detection of masses in whole breast ultrasound images Med. Phys. 34 4378
18. Reports of International Arbitral Awards 2006 The Cordillera of the Andes Boundary Case (Argentina, Chile) (United Nations Treaty Collection) Available at: http://untreaty.un.org/cod/riaa/cases/vol-IX/29-49.pdf
19. Breyer S P and Snow R S 1992 Drainage-basin perimeters-a fractal significance Geomorphology 5 143
20. Ohlander R, Price K and Raj Reddy D 1978 Picture segmentation using a recursive region splitting method Comput. Graph. Image Process. 8 313
21. Pathegama M P and Göl Ö 2005 Edge-end pixel extraction for edge-based image segmentation World Acad. Sci., Eng. Technol. 2 164
22. Shi J and Malik J 2000 Normalized cuts and image segmentation IEEE Trans. Pattern Anal. 22 888
23. Fredman M and Saks M 1989 The cell probe complexity of dynamic data structures Proc. Twenty-First Ann. ACM Symp. on Theory of Computing p345
24. Dobrin R and Duxbury P M 2001 Minimum spanning trees on random networks Phys. Rev. Lett. 86 5076
25. Barabasi A L 1996 Invasion percolation and global optimization Phys. Rev. Lett. 76 3750
26. Rodriguez-Iturbe I and Rinaldo A 1997 Fractal River Basins (Cambridge: Cambridge University Press)
27. Maritan A, Rinaldo A, Rigon R, Giacometti A and Rodriguez-Iturbe I 1996 Scaling laws for river networks Phys. Rev. E 53 1510
28. De Bartolo S G, Veltri M and Primavera L 2006 J. Hydrol. 322 181
29. Horton R E 1932 Drainage basin characteristics EOS Trans. Am. Geophys. Union 13 350
30. Hack J T 1957 Studies of longitudinal profiles in Virginia and Maryland USGS Professional Papers vol 294-B p46
31. Melton M A 1958 Correlation structure of morphometric properties of drainage systems and their controlling agents J. Geol. 66 35
32. Cieplak M, Maritan A and Banavar J R 1994 Optimal paths and domain-walls in the strong disorder limit Phys. Rev. Lett. 72 2320
33. Cieplak M, Maritan A and Banavar J R 1996 Invasion percolation and Eden growth: geometry and universality Phys. Rev. Lett. 76 3754
34. Turcotte D L 1997 Fractals and Chaos in Geology and Geophysics 2nd edn (Cambridge: Cambridge University Press)
35. Farr T G et al 2007 The shuttle radar topography mission Rev. Geophys. 45 RG2004
36. Family F and Vicsek T (ed) 1991 Dynamics of Fractal Surfaces (Singapore: World Scientific)
37. Bunde A and Havlin S 1994 Fractals in Science (Berlin: Springer)
38. Sahimi M 1998 Non-linear and non-local transport processes in heterogeneous media: from long-range correlated percolation to fracture and materials breakdown Phys. Rep. 306 213
39. Sapoval B, Baldassarri A and Gabrielli A 2004 Self-stabilized fractality of seacoasts through damped erosion Phys. Rev. Lett. 93 098501
40. Schorghofer N and Rothman D H 2002 Acausal relations between topographic slope and drainage area Geophys. Res. Lett. 29 1633