Comparison of polynomial models for land surface curvature calculation

References

• Bell S. A 1983 Attributes of Drainage Basin Topography: An Evaluation of Profile and Altitude Matrix Approaches and their Hydrological Relevance PhD Thesis, University of Durham, UK
   Google Scholar
• Carson M Kirkby M 1972 Hillslope Form and Process (Cambridge: Cambridge University Press)
   Google Scholar
• Dehn , M , GÄrtner , H and Dikau , R . 2001 . Principles of semantic modeling of landform structures . Computers & Geosciences , 27 : 1005 – 1010 .
   Web of Science ®Google Scholar
• Dikau R 1989 The application of a digital relief model to landform analysis in geomorphology In Three Dimensional Application in Geographic Information Systems edited by J. Raper (London: Taylor & Francis), pp. 51–77
   Google Scholar
• Evans I. S 1972 General geomorphometry, derivatives of altitude, and descriptive statistics In Spatial Analyis in Geomorphology, edited by R. J. Chorley (London: Methuen), pp. 17–90
   Google Scholar
• Evans , I. S . 1980 . An integrated system of terrain analysis and slope mapping . Zeitschrift für Geomorphologie, N.F., Supplement Band , 36 : 274 – 295 .
   Google Scholar
• Evans I. S 1998 What do terrain statistics really mean? In Landform Monitoring, Modelling and Analysis, edited by S. Lane, K. Richards, and J. Chandler (Chichester: John Wiley & Sons), pp. 119–138
   Google Scholar
• Evans I. S Article in review, Some geomorphometric characteristics of real land surfaces: regularity, scale-specificity and complexity. Computers and Geosciences
   Google Scholar
• Evans I. S Cox N. J 1999 Relations between land surface properties: altitude, slope and curvature In Process Modelling and Landform Evolution, volume 78 of Lecture Notes in Earth Sciences, edited by S. Hergarten and H. Neugebauer (Heidelberg: Springer-Verlag), pp. 13–45
   Google Scholar
• Florinsky , I . 1998 . Accuracy of local topographic variables derived from digital elevation models . International Journal of Geographical Information Science , 12 : 47 – 61 .
   Web of Science ®Google Scholar
• Friedrich K 1996 Digitale Reliefgliederungsverfahren zur Ableitung bodenkundlich relevanter Flächeneinheiten Frankfurter Geowissenschaftliche Arbeiten, 21
   Google Scholar
• Hardenbicker U 1994 Hangrutschungen im Bonner Raum—Naturräumliche Einordnung und ihre anthropogenen Ursachen Arbeiten zur Rheinischen Landeskunde, 64
   Google Scholar
• Heerdegen , R and Beran , M . 1982 . Quantifying source areas through land surface curvature and shape . Journal of Hydrology , 57 : 359 – 373 .
   Web of Science ®Google Scholar
• Hutchinson M. F Gallant J. C 1999 Representation of terrain In Geographical Information Systems, Second edition, edited by P. A. Longley, M. Goodchild, D. J. Maguire, and D. W. Rhind (New York: Wiley), pp. 105–124
   Google Scholar
• Krcho , J . 1991 . Georelief as a subsystem of landscape and the influence of morphometric parameters of georelief on spatial differentiation of landscape-ecological processes . Ecology (CSFR) , 10 : 115 – 157 .
   Google Scholar
• Mitasova , H and Hofierka , J . 1993 . Interpolation by regularized spline with tension: II Application to terrain modeling and surface geometry analysis . Mathematical Geology , 25 : 657 – 669 .
   Google Scholar
• Moore , I. D , Grayson , R and Ladson , A . 1991 . Digital terrain modelling: a review of hydrological, geomorphological, and biological applications . Hydrological Processes , 5 : 3 – 30 .
   Web of Science ®Google Scholar
• Moore , I. D , Gessler , P. E , Nielsen , G. A and Peterson , G. A . 1993 . Soil attribute prediction using digital terrain analysis . Soil Science Society of America Journal , 57 : 443 – 452 .
   Web of Science ®Google Scholar
• Schmidt J Dikau R 1999 Extracting geomorphometric attributes and objects from digital elevation models—semantics, methods, future needs In GIS for Earth Surface Systems—Analysis and Modelling of the Natural Environment, edited by R. Dikau and H. Saurer (Stuttgart: Schweizbart), Berlin Stuttgart, pp. 153–173
   Google Scholar
• Schmidt , J , Merz , B and Dikau , R . 1998 . Morphological structure and hydrological process modelling . Zeitschrift für Geomorphologie, N.F., Supplement Band , 112 : 55 – 66 .
   Google Scholar
• Schmidt , J , Hennrich , K and Dikau , R . 2000 . Scales and similarities in runoff processes with respect to geomorphometry . Hydrological Processes , 14 : 1963 – 1979 .
   Web of Science ®Google Scholar
• Schneider , B . 2001 . Phenomenon-based specification of the digital representation of terrain surfaces . Transactions in GIS , 5 : 39 – 52 .
   Google Scholar
• Shary P 1995 Land surface in gravity points classification by a complete system of curvatures Mathematical Geology, 27(3), 373–390
   Google Scholar
• Shary , P , Sharaya , L. S and Mitusov , A. V . 2002 . Fundamental quantitative methods of land surface analysis . Geoderma , 107 : 1 – 32 .
   Web of Science ®Google Scholar
• Weibel R Delotto J. S 1988 Automated terrain classification for GIS modelling In Proceedings of GIS/LIS '88, San Antonio, Texas, 2, pp. 618–627
   Google Scholar
• Wilson J. P Gallant J. C editors 2000 Terrain Analysis: Principles and Applications (Chichester: Wiley)
   Google Scholar
• Wise S. M 1998 The effect of GIS interpolation errors on the use of digital elevation models in geomorphology In Landform Monitoring, Modelling and Analysis, edited by S. Lane, K. Richards, and J. Chandler, (Chichester: Wiley), pp. 139–164
   Google Scholar
• Wood J 1996 The Geomorphological Characterisation of Digital Elevation Models PhD thesis, Department of Geography University of Lancaster, UK
   Google Scholar
• Young A 1972 Slopes (Edinburgh: Oliver & Boyd)
   Google Scholar
• Zevenbergen , L and Thorne , C . 1987 . Quantitative analysis of land surface topography . Earth Surface Processes and Landforms , 12 : 47 – 56 .
   Web of Science ®Google Scholar