Artificial lineaments in digital terrain modelling: Can operators of topographic variables cause them?

Mathematical Geology

Volumn 37, Issue 4, 2005, Pages 357-372

  Florinsky, Igor V ^a,b,c  

^a DTM Lab   (Canada)

^b INSTITUTE OF MATHEMATICAL PROBLEMS OF BIOLOGY   (Russian Federation)

^c NONE   (Ukraine)

Author keywords

Artefact; Curvature; Derivative; Digital terrain modeling; Lineament; Surface

Indexed keywords

DIGITAL TERRAIN MODEL; TOPOGRAPHY;

EID: 23144447669     PISSN: 08828121     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11004-005-5953-3     Document Type: Article

References (43)

1. M. D. Belonin I. M. Zhukov 1968 Geometrical properties of surfaces of the Alexeevskoye uplift, the Kuibyshev Region in: M. A. Romanova eds. Problems of mathematical geology Nauka Leningrad 194-207 (in Russian)
2. Brown, D. G., and Bara, T. J., 1994, Recognition and reduction of systematic error in elevation and derivative surfaces from 7.5-minute DEMs: Photogramm. Eng. Remote Sens., v. 60, no. 2, p. 189-194.
3. Chorowicz, J., Kim, J., Manoussis, S., Rudant, J., Foin, P., and Veillet, I., 1989, A new technique for recognition of geological and geomorphological patterns in digital terrain models: Remote Sens. Environ., v. 29, no. 3, p. 229-239. 10.1016/0034-4257(89)90002-3
4. Chorowicz, J., Dhont, D., and Gündoǧdu, N., 1999, Neotectonics in the eastern North Anatolian fault region (Turkey) advocates crustal extension: Mapping from SAR ERS imagery and digital elevation model: J. Struct. Geol., v. 21, no. 5, p. 511-532.
5. R. Courant F. John 1974 Introduction to calculus and analysis, Vol. 2 Wiley New York 954
6. Declercq, F. A. N., 1996, Interpolation methods for scattered sample data: Accuracy, spatial patterns, processing time: Cartogr. Geogr. Inform. Syst., v. 23, no. 3, p. 128-144.
7. R. J. W. Douglas 1974 Tectonics in: G. Fremlin eds. The national atlas of Canada 4th rev. edn. Department of Energy, Mines and Resources and Information Canada, Ottawa 29-30
8. G. M. Fikhtengolts 1966 A course in differential and integral calculus, 6th edn., Vol. 1 Nauka Moscow 607(in Russian)
9. Florinsky, I. V., 1993, Analysis of digital elevation models for recognition of linear structures of the land surface: Unpublished Ph.D. Thesis, Institute of Soil Science and Photosynthesis, Russian Academy of Sciences, Pushchino, 133 p. (in Russian).
10. Florinsky, I. V., 1996, Quantitative topographic method of fault morphology recognition: Geomorphology, v. 16, no. 2, p. 103-119. 10.1016/ 0169-555X(95)00136-S
11. Florinsky, I. V., 1998a, Accuracy of local topographic variables derived from digital elevation models: Int. J. Geogr. Inform. Sci., v. 12, no. 1, p. 47-61. 10.1080/136588198242003
12. Florinsky, I. V., 1998b, Combined analysis of digital terrain models and remotely sensed data in landscape investigations: Prog. Phys. Geogr., v. 22, no. 1, p. 33-60. 10.1191/030913398673294292
13. Florinsky, I. V., 1998c, Derivation of topographic variables from a digital elevation model given by a spheroidal trapezoidal grid: Int. J. Geogr. Inform. Sci., v. 12, no. 8, p. 829-852. 10.1080/136588198241527
14. Florinsky, I. V., 2000, Relationships between topographically expressed zones of flow accumulation and sites of fault intersection: Analysis by means of digital terrain modelling: Environ. Modell. Softw., v. 15, no. 1, p. 87-100.
15. Florinsky, I. V., 2002, Errors of signal processing in digital terrain modelling: Int. J. Geogr. Inform. Sci., v. 16, no. 5, p. 475-501. 10.1080/13658810210129139
16. Florinsky, I. V., Grokhlina, T. I., and Mikhailova, N. L., 1995, LANDLORD 2.0: The software for analysis and mapping of geometrical characteristics of relief: Geodesiya Cartogr., no. 5, p. 46-51 (in Russian).
17. Gesch, D. B., Verdin, K. L., and Greenlee, S. K., 1999, New land surface digital elevation model covers the Earth: Eos, v. 80, no. 6, p. 69-70.
18. Gosteva, T. S., Patrakova, V. S., and Abramkina, V. A., 1983, Determination of laws controlling spatial distribution of ring structures on the basis of trend-analysis of the topography: Geol. Geophys., no. 8, p. 72-79 (in Russian, with English abstract).
19. Hunter, G. J., and Goodchild, M. F., 1995, Dealing with error in spatial databases: A simple case study: Photogramm. Eng. Remote Sens., v. 61, no. 5, p. 529-537.
20. Ioffe, A. I., and Kozhurin, A. I., 1997, Active tectonics and geoecological zoning of Moscow Region: Bull. Moscow Soc. Naturalists, Geol. Ser., v. 72, no. 5, p. 31-35 (in Russian, with English abstract).
21. Johansson, M., 1999, Analysis of digital elevation data for palaeosurfaces in south-western Sweden: Geomorphology, v. 26, no. 4, p. 279-295. 10.1016/S0169-555X(98)00068-3
22. Katterfeld, G. N., and Charushin, G. V., 1973, General grid systems of planets: Mod. Geol., v. 4, no. 4, p. 253-287.
23. Kühni, A., and Pfiffner, O. A., 2001, The relief of the Swiss Alps and adjacent areas and its relation to lithology and structure: Topographic analysis from a 250-m DEM: Geomorphology, v. 41, no. 4, p. 285-307
24. Liang, C., and Mackay, D. S., 2000, A general model of watershed extraction and representation using globally optimal flow paths and up-slope contributing areas: Int. J. Geogr. Inform. Sci., v. 14, no. 4, p. 337-358. 10.1080/13658810050024278
25. Lisle, R. J., 1994, Detection of zones of abnormal strains in structures using Gaussian curvature analysis: Am. Assoc. Petrol. Geol. Bull., v. 78, no. 12, p. 1811-1819.
26. McCullagh, M. J., 1988, Terrain and surface modelling systems: Theory and practice: Photogramm. Rec., v. 12, no. 72, p. 747-779.
27. Moore, I. D., Grayson, R. B., and Ladson, A. R., 1991, Digital terrain modelling: A review of hydrological, geomorphological and biological applications: Hydrol. Process., v. 5, no. 1, p. 3-30.
28. Morris, K., 1991, Using knowledge-base rules to map the three-dimensional nature of geological features: Photogramm. Eng. Remote Sens., v. 57, no. 9, p. 1209-1216.
29. Natural Resources Canada 1997 Canadian Digital Elevation Data: Standards and Specifications Centre for Topographic Information Sherbrooke 11
30. NOAA 1988 Digital Relief of the Surface of the Earth NOAA, National Geophysical Data Center Boulder Data Announcement 88-MGG-02
31. Pike, R. J., 2000, Geomorphometry-diversity in quantitative surface analysis: Prog. Phys. Geogr., v. 24, no. 1, p. 1-20. 10.1191/ 030913300674449511
32. Riazanoff, S., Cervelle, B., and Chorowicz, J., 1988, Ridge and valley line extraction from digital terrain models: Int. J. Remote Sens., v. 9, no. 6, p. 1175-1183.
33. Robinson, J. E., Charlesworth, H. A. K., and Ellis, M. J., 1969, Structural analysis using spatial filtering in Interior Plains of south-central Alberta: Am. Assoc. Petrol. Geologists Bull., v. 53, no. 11, p. 2341-2367.
34. A. Rosenfeld A. C. Kak 1982 Digital picture processing, Vol. 1 2nd Academic Press New York 435
35. Samson, P. P., and Mallet, J. L., 1997, Curvature analysis of triangulated surfaces in structural geology: Math. Geol., v. 29, no. 3, p. 391-412.
36. Shary, P. A., 1995, Land surface in gravity points classification by complete system of curvatures: Math. Geol., v. 27, no. 3, p. 373-390.
37. Shary, P. A., Sharaya, L. S., and Mitusov, A. V., 2002, Fundamental quantitative methods of land surface analysis: Geoderma, v. 107, no. 1-2, p. 1-32. 10.1016/S0016-7061(01)00136-7
38. R. E. Sheridan 1989 The Atlantic passive margin in: A. W. Bally A. R. Palmer eds. The geology of North America - an overview Geological Society of America Boulder 81-96
39. Smith, D. E., Zuber, M. T., Solomon, S. C., Phillips, R. J., Head, J. W., Garvin, J. B., Banerdt, W. B., Muhleman, D. O., Pettengill, G. H., Neumann, G. A., Lemoine, F. G., Abshire, J. B., Aharonson, O., Brown, C. D., Hauck, S. A., Ivanov, A. B., Mcgovern, P. J., Zwally, H. J., and Duxbury, T. C., 1999, The global topography of Mars and implications for surface evolution: Science, v. 284, no. 5419, p. 1495-1503. 10.1126/ science.284.5419.1495
40. Vigil, J. F., Pike, R. J., and Howell, D. G., 2000, A Tapestry of Time and Terrain, USGS Geologic Investigations Series Map I-2720, scale 1:3 500 000: US Geological Survey.
41. Wladis, D., 1999, Automatic lineament detection using digital elevation models with second derivative filters: Photogramm. Eng. Remote Sens., v. 65, no. 4, p. 453-458.
42. Wood, J. D., and Fisher, P. F., 1993, Assessing interpolation accuracy in elevation models: IEEE Comp. Graph. Applic., v. 13, no. 2, p. 48-56. 10.1109/38.204967
43. Zamani, A., and Hashemi, N., 2000, A comparison between seismicity, topographic relief, and gravity anomalies of the Iranian Plateau: Tectonophysics, v. 327, no. 1-2, p. 25-36. 10.1016/S0040-1951(00)00160-8