Variations in multiscale curvature distribution and signatures of LiDAR DTM errors

Earth Surface Processes and Landforms

Volumn 38, Issue 10, 2013, Pages 1116-1134

  Sofia, Giulia ^a   Pirotti, Francesco ^a   Tarolli, Paolo ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

Curvature; DTM quality; Error modeling; Geomorphometry; LiDAR

Indexed keywords

CURVATURE; CURVATURE DISTRIBUTIONS; DIGITAL TERRAIN MODEL; ERROR MODELING; GEOMORPHOMETRY; MORPHOLOGICAL FEATURES; MULTI-SCALE CURVATURES; STATISTICAL SIGNATURES;

MORPHOLOGY; OPTICAL RADAR; STATISTICAL TESTS; STATISTICS;

ERRORS;

DATA SET; DIGITAL TERRAIN MODEL; ERROR ANALYSIS; GEOMORPHOLOGY; LIDAR; MORPHOMETRY; SPATIAL ANALYSIS;

EID: 84880514657     PISSN: 01979337     EISSN: 10969837     Source Type: Journal    
DOI: 10.1002/esp.3363     Document Type: Article

References (116)

1. Aguilar FJ, Mills JP, Delgado J, Aguilar MA, Negreiros JG, Pérez JL. 2010. Modelling vertical error in LiDAR-derived digital elevation models. ISPRS Journal of Photogrammetry and Remote Sensing 65(1): 103-110.
2. Albani M, Klinkenberg B. 2003. A Spatial filter for the removal of striping artifacts in Digital Elevation Models. Photogrammetric Engineering and Remote Sensing 69(7): 755-765.
3. Albani M, Klinkenberg B, Andison DW, Kimmins JP. 2004. The choice of window size in approximating topographic surfaces from digital elevation models. International Journal of Geographical Information Science 18(6): 577-593.
4. Arrell K, Wise S, Wood J, Donoghue D. 2008. Spectral filtering as a method of visualising and removing striped artefacts in digital elevation data. Earth Surface Processes and Landforms 33: 943-961. DOI: 10.1002/esp.1597
5. Bater CW, Coops NC. 2009. Evaluating error associated with lidar-derived DEM interpolation. Computers and Geosciences 35: 289-300.
6. Bates DM, Watts DG. 1988. Nonlinear Regression and its Applications. Wiley: New York.
7. Bergström H. 1952. On Some Expansions of Stable Distributions. Arkiv for Mathematik 2: 463-474.
8. Binh TQ, Thuy NT. 2008. Assessment of the influence of interpolation techniques on the accuracy of digital elevation model. VNU Journal of Science, Earth Sciences 24: 176-183.
9. Bonin O, Rousseaux F. 2005. Digital terrain model computation from contour lines: how to derive quality information from artifact analysis. GeoInformatica 9(3): 253-268.
10. Booth AM, Roering JJ, Perron JT. 2009. Automated landslide mapping using spectral analysis and high-resolution topographic data: Puget Sound lowlands, Washington, and Portland Hills, Oregon. Geomorphology 109(3-4): 132-147.
11. Borak Sz, Härdle W, Weron R. 2004. Stable Distributions. In Statistical Tools for Finance and Insurance, Cizek P, Härdle W, Weron R (eds). Springer.
12. Borak Sz, Härdle W, Weron R. 2005. Stable distributions, SFB 649, School of Business and Economics, Humboldt-Universitatz zu Berlin, discussion paper, No. 008. http://hdl.handle.net/10419/25027
13. Brown DG, Bara TJ. 1994. Recognition and reduction of systematic error in elevation and derivative surfaces from 7.5 min DEMs. Photogrammetric Engineering and Remote Sensing 60(2): 189-194.
14. Brunson EG, Olsen RW. 1978. Data digital elevation model collection systems. In Proceedings of the digital terrain models (DTM) Symposium, 9-11 May, St Louis, Missouri (American Society of Photogrammetry, Falls Church, Virginia); 72-99.
15. Carrara A, Bitelli G, Carla R. 1997. Comparison of techniques for generating digital terrain models from contour lines. International Journal of Geographical Information Science 11: 451-472.
16. Cavalli M, Tarolli P. 2011. Application of LiDAR technology for rivers analysis. Italian Journal of Engineering Geology and Environment, Special Issue 1: 33-44.DOI:10.4408/IJEGE.2011-01.S-03.
17. Cavalli M, Tarolli P, Marchi L, Dalla Fontana G. 2008. The effectiveness of airborne LiDAR data in the recognition of channel bed morphology. Catena 73: 249-260. DOI:10.1016/j.catena.2007.11.001.
18. Cavalli M, Trevisani S, Comiti F, Marchi L. 2012. Geomorphometric assessment of spatial sediment connectivity in small Alpine catchments. Geomorphology doi:10.1016/j.geomorph.2012.05.007. Latest info required
19. Chambers JM, Mallows CL, Stuck BW. 1976. A method for simulating stable random variables. Journal of the American Statistical Association 71: 340-344.
20. Chaplot V, Darboux F, Bourennane H, Leguedois S, Silvera N, Phachomphon K. 2006. Accuracy of interpolation techniques for the derivation of digital elevation models in relation to landform types and data density. Geomorphology 77: 126-141.
21. Charlton ME, Large ARG, Fuller IC. 2003. Application of airborne LiDAR In river environments: the River Coquet, Northumberland, UK. Earth Surface Processes and Landforms 28: 299-306.
22. Crippen RE. 1989. A simple spatial filter routine for the cosmetic removal of scan-line noise from Landsat TM P-Tape imagery. Photogrammetric Engineering and Remote Sensing 55(3): 327-331.
23. Dubuisson MP, Jain AK. 1994. A modified Hausdorff distance for object matching. Proceedings of the 12th IAPR International Conference on Computer Vision & Image Processing 1:566-568. DOI: 10.1109/ICPR.1994.576361.
24. Evans IS. 1979. An integrated system of terrain analysis and slope mapping. Final report on grant DA-ERO-591-73-G0040, University of Durham, England.
25. Felicisimo A. 1994. Parametric statistical method for error detection in digital elevation models. ISPRS Journal of Photogrammetry and Remote Sensing 49: 29-33.
26. Fisher P. 1991. First experiments in viewshed uncertainty: the accuracy of the viewshed area. Photogrammetric Engineering and Remote Sensing 57: 1321-1327.
27. Fisher P. 1993. Algorithm and implementation uncertainty in viewshed analysis. International Journal of Geographical Information Systems 7:331-347.
28. Fisher P. 1998. Improved modeling of elevation error with geostatistics. GeoInformatica 2: 215-233.
29. Fisher PF, Tate NJ. 2006. Causes and consequences of error in digital elevation models. Progress in Physical Geography 30: 467-489.
30. Florinsky IV. 1998. Accuracy of local topographic variables derived from digital elevation models. International Journal of Geographical Information Science 12(1): 47-61.
31. Garbrecht J, Martz LW. 2000. Digital elevation model issues in water resources modeling. In Hydrology and Hydraulic Modeling Support with Geographic Information System, Maidment D, Djokic D (eds). ESRI Press: Redlands, CA; 1-28.
32. Garbrecht J, Starks P. 1995. Note on the use of USGS Level 1 7.5-Minute DEM coverages for landscape drainage analysis. Photogrammetric Engineering and Remote Sensing 61(5): 519-522.
33. Giles PT, Franklin SE. 1996. Comparison of derivative topographic surfaces of a DEM generated form stereoscopic SPOT images with field measurements. Photogrammetric Engineering and Remote Sensing 62: 1165-1171.
34. Gonga-Saholiariliva N, Gunnell Y, Petit C, Mering C. 2011. Techniques for quantifying the accuracy of gridded elevation models and for mapping uncertainty in digital terrain analysis. Progress in Physical Geography 35: 739-764. DOI:10.1177/0309133311409086
35. Goodchild MF. 1982. The fractal Brownian process as a terrain simulation model. Modelling and Simulation 13: 1133-1137.
36. Goodwin NR, Coops NC, Culvenor DS. 2006. Assessment of forest structure with airborne LiDAR and the effects of platform altitude. Remote Sensing of Environment 103(2): 140-152.
37. Haneberg WC. 2006. Effects of digital elevation model errors on spatially distributed seismic slope stability calculations: an example from Seattle, Washington. Environmental & Engineering Geosciences 12: 247-260.
38. Haneberg WC. 2008. Elevation errors in a LIDAR digital elevation model of West Seattle and their effects on slope-stability calculations. Reviews in Engineering Geology 20: 55-65. DOI:10.1130/2008.4020(03)
39. Hannah MJ. 1981. Error detection and correction in digital terrain models. Photogrammetric Engineering and Remote Sensing 47: 63-69.
40. Hassan M. 1988. Filtering digital profile observations. Photogrammetric Engineering and Remote Sensing 54: 1391-1394.
41. Hejmanowska B, Kay S. 2011. A new approach to dtm error estimation basing on laplacian probability distribution function. Archives of Photogrammetry, Cartography and Remote Sensing 22: 201-213.
42. Heritage G, Hetherington D. 2007. Towards a protocol for laser scanning in fluvial geomorphology. Earth Surface Processes and Landforms 32: 66-74.
43. Heuvelink GB. 1998. Error Propagation in Environmental Modelling with GIS. Taylor & Francis Ltd: London.
44. Hilldale RC, Raff D. 2008. Assessing the ability of airborne LiDAR to map river bathymetry. Earth Surface Processes and Landforms 33: 773-783.
45. Hodgson ME, Bresnahan P. 2004. Accuracy of airborne lidar-derived elevation: empirical assessment and error budget. Photogrammetric Engineering and Remote Sensing 70(3): 331-339.
46. Höhle J, Höhle M. 2009. Accuracy assessment of digital elevation models by means of robust statistical methods. ISPRS Journal of Photogrammetry and Remote Sensing 64(4): 398-406. DOI:10.1016/j.isprsjprs.2009.02.003.
47. Holmes KW, Chadwick OA, Kyriakidis PC. 2000. Error in a USGS 30-meter digital elevation model and its impact on terrain modeling. Journal of Hydrology 233: 154-173.
48. Hopkinson C, Chasmer LE, Zsigovics G, Creed IF, Sitar M, Treitz P, Maher RV. 2004. Errors in LiDAR ground elevation and wetland vegetation height estimates. The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences 36(Part 8/W2): 108-113
49. Hunter G, Goodchild M. 1995. Dealing with error in spatial databases: a simple case study. Photogrammetric Engineering and Remote Sensing 61: 529-537.
50. Hunter GJ, Goodchild MF. 1997. Modeling the uncertainty of slope and aspect estimates derived from spatial databases. Geographical Analysis 29: 35-49.
51. Jain AK. 1989. Fundamentals of Digital Image Processing. Prentice Hall- Englewood Cliffs: NJ.
52. Jones AF, Brewer PA, Johnstone E, Macklin MG. 2007. High-resolution interpretative geomorphological mapping of river valley environments using airborne LiDAR data. Earth Surface Processes and Landforms 32: 1574-1592.
53. Jones KH. 1998. A comparison of algorithms used to compute hill slope as a property of the DEM. Computer and Geosciences 24: 315-323.
54. Karel W, Pfeifer N, Briese C. 2006. DTM quality assessment. ISPRS Technical Commission II Symposium 2006, International Archives of the ISPRS, XXXVI/2: 7-12.
55. Kasai M, Ikeda M, Asahina T, Fujisawa K. 2009. LiDAR-derived DEM evaluation of deep-seated landslides in a steep and rocky region of Japan. Geomorphology 113(1-2): 57-69.
56. Kienzle S. 2004. The effect of DEM raster resolution on first order, second order and compound terrain derivatives. Transactions in GIS 8(1): 83-111.
57. Klinkenberg B, Goodchild MF. 1992. The fractal properties of topography: a comparison of methods. Earth Surface Processes and Landforms 17: 217-234.
58. Kobler A, Pfeifer N, Ogrinc P, Todorovski L, Oštir K, Džeroski S. 2007. Repetitive interpolation: a robust algorithm for DTM generation from Aerial Laser Scanner Data in forested terrain. Remote Sensing of Environment 108(1): 9-23. DOI:10.1016/j.rse.2006.10.013.
59. Kyriakidis PC, Shortridge AM, Goodchild MF. 1999. Geostatistics for conflation and accuracy assessment of digital elevation models. International Journal of Geographical Information Science 13(7): 677-707.
60. Lane SN, James TD, Crowell MD. 2000. Application of digital photogrammetry to complex topography for geomorphological research. The Photogrammetric Record 16: 793-821.
61. Lane SN, Westaway RM, Hicks DM. 2003. Estimation of erosion and deposition volumes in a large, gravel bed, braided river using synoptic remote sensing. Earth Surface Processes and Landforms 28: 249-271.
62. Lane SN, Reid SC, Westaway RM, Hicks DM. 2004. Remotely sensed topographic data for river channel research: the identification explanation and management of error. In Spatial Modelling of the Terrestrial Environment, Kelly R, Drake N, Barr S (eds). Wiley: Chichester; 157-174.
63. Lashermes B, Foufoula-Georgiou E, Dietrich WE. 2007. Channel network extraction from high resolution topography using wavelets. Geophysical Research Letters 34: L23S04. DOI:10.1029/2007GL031140.
64. Legleiter CJ. 2012. Remote measurement of river morphology via fusion of LiDAR topography and spectrally based bathymetry. Earth Surface Processes and Landforms 37(5): 499-518. DOI: 10.1002/esp.2262
65. LePage R, Woodroofe M, Zinn J. 1981. Convergence to a stable distribution via order statistics. Annals of Probability 9: 624-632.
66. Li J, Wong WS. 2010. Effect of DEM sources on hydrologic applications. Computers, Environment and Urban Systems 34: 251-261.
67. Li Z. 1993. Theoretical models of the accuracy of digital terrain models: an evaluation and some observations. The Photogrammetric Record 14(82): 651-660.
68. Lindsay JB, Evans MG. 2008. The influence of elevation error on the morphometrics of channel networks extracted from DEMs and the implication for hydrological modeling. Hydrological Processes 22: 1588-1603.
69. Liu H, Jezek KC. 1999. Investigating DEM error patterns by directional variograms and Fourier analysis. Geographical Analysis 3(3): 249-266.
70. Liu X. 2008. Airborne LiDAR for DEM generation: Some critical issues. Progress in Physical Geography 32: 31-49.
71. Liu X, Bian L. 2008. Accuracy assessment of DEM slope algorithms related to spatial autocorrelation of DEM Errors. In Advances in Digital Terrain Analysis, Lecture Notes in Geoinformation and Cartography, Zhou Q, Lees B, Tang GA (eds). Springer: Berlin; 307-322.
72. Maune DF. 2001. Digital Elevation Model Technologies and Applications: The DEM Users Manual. The American Society for Photogrammetry and Remote Sensing: Bethesda, MD.
73. Milledge DG, Lane SN, Warburton J. 2009. The potential of digital filtering of generic topographic data for geomorphological research. Earth Surface Processes and Landforms 34: 63-74.
74. Mitasova H, Hofierka J. 1993. Interpolation by regularized spline with tension: II. Application to terrain modeling and surface geometry analysis. Mathematical Geology 25: 641-655.
75. Nolan JP. 2006. Bibliography on stable distributions, processes and related topics. Mimeo. Department of Mathematics and Statistics. American University, Washington, DC.
76. Notebaert B, Verstraeten G, Govers G, Poesen J. 2009. Qualitative and quantitative applications of LiDAR imagery in fluvial geomorphology. Earth Surface Processes and Landform 348: 217-231.
77. Oimoen MJ. 2000. An effective filter for removal of production artifacts in U.S. Geological Survey 7.5-minute digital elevation models. Proceedings of the Fourteenth International Conference on Applied Geologic Remote Sensing, 06-08 November, Las Vegas, Nevada (Veridian ERIM International, Ann Arbor, Michigan); 311-319.
78. Oksanen J, Sarjakoski T. 2005. Error propagation analysis of DEM-based drainage basin delineation. International Journal of Remote Sensing 26(14): 3085-3102.
79. Oksanen J, Sarjakoski T. 2006. Uncovering the statistical and spatial characteristics of fine toposcale DEM error. International Journal of Geographical Information Science 20: 345-369.
80. Oksanen J, Sarjakoski T. 2010. Non-stationary modelling and simulation of LIDAR DEM uncertainty. Proceedings of the 9th International Symposium on Spatial Accuracy Assessment in Natural Resources and Environmental Sciences, July 20-23, Leicester, UK; 201-204.
81. Orlandini S, Tarolli P, Moretti G, Dalla Fontana G. 2011. On the prediction of channel heads in a complex alpine terrain using gridded elevation data. Water Resources Research 47: W02538. DOI:10.1029/2010WR009648.
82. Pan JJ, Chang CI. 1992. Destriping of Landsat MSS images by filtering techniques. Photogrammetric Engineering and Remote Sensing 58(10): 1417-1423.
83. Passalacqua P, Tarolli P, Foufoula-Georgiou E. 2010. Testing space-scale methodologies for automatic geomorphic feature extraction from LiDAR in a complex mountainous landscape. Water Resources Research 46: W11535. DOI:10.1029/2009WR008812.
84. Pirotti F, Grigolato S, Lingua E, Sitzia T, Tarolli P. 2012. Laser Scanner Applications in Forest and Environmental Sciences. Italian Journal of Remote Sensing 44(1): 109-123. DOI:10.5721/ItJRS20124419
85. Pirotti F, Tarolli P. 2010. Suitability of LiDAR point density and derived landform curvature maps for channel network extraction. Hydrological Processes 24: 1187-1197. DOI:10.1002/hyp.758
86. Raaflaub LD, Collins MJ. 2006. The effect of error in gridded digital elevation models on the estimation of topographic parameters. Environmental Modelling & Software 21: 710-732. DOI: 10.1016/j.envsoft.2005.02.003.
87. Rosenfeld A, Kak AC. 1982. Digital Picture Processing, vol 2, 2nd edn. Academic Press: New York.
88. Schoorl JM, Sonneveld MPW, Veldkamp A. 2000. Three-dimensional landscape process modelling: the effect of DEM resolution. Earth Surface Processes and Landforms 25: 1025-1034.
89. Shary PA, Sharaya LS, Mitusov AV. 2002. Fundamental quantitative methods of land surface analysis. Geoderma 107: 1-32.
90. Sofia G, Tarolli P, Cazorzi F, Dalla Fontana G. 2011. An objective approach for feature extraction: distribution analysis and statistical descriptors for scale choice and channel network identification. Hydrology and. Earth System Science 15: 1387-1402. DOI:10.5194/hess-15-1387-2011.
91. Su J, Bork E. 2006. Influence of vegetation, slope, and lidar sampling angle on DEM accuracy. Photogrammetric Engineering and Remote Sensing 72(11): 1265-1274.
92. Tarolli P, Arrowsmith JR, Vivoni ER. 2009. Understanding earth surface processes from remotely sensed digital terrain models. Geomorphology 113: 1-3. DOI:10.1016/j.geomorph.2009.07.005
93. Tarolli P, Dalla Fontana G. 2009. Hillslope to valley transition morphology: new opportunities from high resolution DTMs. Geomorphology 113: 47-56. DOI:10.1016/j.geomorph.2009.02.006.
94. Tarolli P, Sofia G, Dalla Fontana G. 2012. Geomorphic features extraction from high resolution topography: landslide crowns and bank erosion. Natural Hazards 61: 65-83. DOI:10.1007/s11069-010-9695-2.
95. Tarolli P, Tarboton DG. 2006. A new method for determination of most likely landslide initiation points and the evaluation of digital terrain model scale in terrain stability mapping. Hydrology and Earth System Science 10: 663-677. DOI:10.5194/hess-10-663-2006
96. Temme AJAM, Heuvelink GBM, Schoorl JM, Claessens L. 2009. Chapter 5: Geostatistical simulation and error propagation in geomorphometry. In Geomorphometry: Concepts, Software, Applications, Hengl T, Reuter HI (eds). Elsevier (Developments in Soil Science 33); 121-140.
97. Tempfli K. 1980.Spectral analysis of terrain relief for the accuracy estimation of digital terrain models. ITC Journal 3: 478-510.
98. Van Niel K, Laffan S, Lees B. 2004. Effect of error in the DEM on environmental variables for predictive vegetation modeling. Journal of Vegetation Science 15: 747-756.
99. Veregin H. 1997. The effects of vertical error in digital elevation models on the determination of flowpath direction. Cartography and GIS 24: 67-79.
100. Vianello A, Cavalli M, Tarolli P. 2009. LiDAR-derived slopes for headwater channel network analysis. Catena 76: 97-106. DOI:10.1016/j.catena.2008.09.012.
101. Walsh SJ, Lightfoot DR, Butler DR. 1987. Recognition and assessment of error in geographic information systems. Photogrammetric Engineering and Remote Sensing 53: 1423-1430.
102. Wechsler SP. 1999. Digital elevation model (DEM) uncertainty: Evaluation and effect on topographic parameters. Proceedings 19th Annual ESRI User Conference, San Diego, California, USA. Available at: http://gis.esri.com/library/userconf/proc99/proceed/papers/pap262/p262.htm.
103. Wechsler SP. 2000. Effect of DEM Uncertainty on topographic parameters, dem scale and terrain evaluation. PhD Dissertation, State University of New York, College of Environmental Science and Forestry, Syracuse, NY.
104. Wechsler SP. 2003. Perceptions of digital elevation model uncertainty by DEM users. Urban and Regional Information Systems Association Journal 15: 57-64.
105. Wechsler SP. 2007. Uncertainties associated with digital elevation models for hydrologic applications: a review. Hydrology and Earth System Science 11: 1481-1500.
106. Wechsler SP, Kroll C. 2006. Quantifying DEM uncertainty and its effect on topographic parameters. Photogrammetric Engineering and Remote Sensing 72: 1081-1090.
107. Weron R. 1996. On the Chambers-Mallows-Stuck method for simulating skewed stable random variables. Statistics and Probability Letters 2: 165-171.
108. Wilson JP, Gallant JC. 2000. Digital terrain analysis. In Terrain Analysis: Principles and Applications, Wilson JP, Gallant JC (eds). Wiley: New York; 1-28.
109. Wise S. 1998. The effect of GIS interpolation errors on the use of digital elevation models in geomorphology. In Landform Monitoring, Modelling and Analysis, Lane SN, Richards KS, Chandler JH (eds). Wiley: New York; 139-164.
110. Wise S. 2011. Cross-validation as a means of investigating DEM interpolation error. Computers & Geosciences 37(8): 978-991. DOI:10.1016/j.cageo.2010.12.002.
111. Wood JD. 1996. The geomorphological characterisation of digital elevation models. PhD. Thesis, University of Leicester.
112. Younan NH, Lee HS, King RL. 2002. DTM error minimization via adaptive smoothing (LiDAR forest measurements). Geoscience and Remote Sensing Symposium. IGARSS'02.2002 IEEE International 6: 3611-3613.
113. Zevenbergen LW, Thorne C. 1987. Quantitative analysis of land surface topography. Earth Surface Processes and Landforms 12: 47-56.
114. Zhou Q, Liu X. 2002. Error assessment of grid-based flow routing algorithms used in hydrological models. International Journal of Geographical Information Science 16(8): 819-842.
115. Zhou Q, Liu X. 2004a. Error analysis on grid-based slope and aspect algorithms. Photogrammetric Engineering and Remote Sensing 70: 957-962.
116. Zhou Q, Liu X. 2004b. Analysis of errors of derived slope and aspect related to DEM data properties. Computers and Geosciences 30: 369-378.