Isomorphism in digital elevation models and its implication to interpolation functions

Photogrammetric Engineering and Remote Sensing

Volumn 75, Issue 6, 2009, Pages 713-721

  Hu, Peng ^a   Liu, Xiaohang ^b   Hu, Hai ^a  

^a WUHAN UNIVERSITY   (China)

^b SAN FRANCISCO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL MECHANICS; GROUP THEORY; LANDFORMS; SET THEORY;

BILINEAR INTERPOLATION; DIGITAL ELEVATION MODEL; INTERPOLATION FUNCTION; INTERPOLATION METHOD; LINEAR INTERPOLATION; OPTIMAL METHODS; TERRAIN SURFACES;

INTERPOLATION;

DIGITAL ELEVATION MODEL; ELEVATION; INTERPOLATION; PRESERVATION; TERRAIN; TOPOGRAPHIC MAPPING; TOPOGRAPHY;

EID: 67650930669     PISSN: 00991112     EISSN: None     Source Type: Journal    
DOI: 10.14358/PERS.75.6.713     Document Type: Article

References (17)

1. Aguilar, F.J., F. Aguera, M. Agullar, and F. Carvajal, 2005. Effects of terrain morphology, sampling density, and interpolation methods on grid DEM accuracy, Photogrammetric Engineering & Remote Sensing, 71(7):805-816.
2. Aguilar, F.J., M. Aguilar, F. Aguera, and J. Sanchez, 2006. The accuracy of grid digital elevation models linearly constructed from scattered sample data, International Journal of Geographical Information Science, 20(2):169-192.
3. Hu, P., X. Liu, and H. Hu, 2009. Accuracy assessment of digital elevation models based on approximation theory, Photogrammetric Engineering & Remote Sensing, accepted.
4. Hu, P., C. Yang, Y.Wu, and H. Hu, 2007. New Digital Elevation Models - Theory, Methodology, Standard, and Application, China Mapping Press: Beijing, China, 322 p. [In Chinese].
5. Hutchinson, M.F., 1989. A new procedure for gridding elevation and stream line data with automatic removal of spurious pits, Journal of Hydrology, 106:211-232.
6. Kidner, D.B., 2003. Higher-order interpolation of regular grid digital elevation models, International Journal of Remote Sensing, 24(14):2981-2987.
7. Kyriakidis, P.C., and M.F. Goodchild, 2006. On the prediction error variance of three common spatial interpolation schemes, International Journal of Geographical Information Science, 20(8):823-856.
8. Kyriakidis, P.C., A.M. Shortridge, and M.F. Goodchild, 1999. Geostatistics for conflation and accuracy assessment of digital elevation models, International Journal of Geographical Information Science, 13:677-707.
9. Li, Z., 1993. Mathematical models of the accuracy of digital terrain model surfaces linearly constructed from square gridded data, The Photogrammetric Record, 14(82]:661-674.
10. Morris, D.G., and R.W. Flavin, 1990. A digital terrain model for hydrology, Proceedings of the Fourth International Symposium on Spatial Data Handling, Zurich, Switzerland, pp. 250-262.
11. Rees, W.G., 2000. The accuracy of digital elevation models interpolated to higher resolutions, International Journal of Remote Sensing, 21(l):7-20.
12. Shi, W.Z., Q.Q. Li, and C.Q. Zhu, 2005. Estimating the propagation error of DEM from higher-order interpolation algorithms, International Journal of Remote Sensing, 26(14):3069-3084.
13. Shi, W.Z., and Y. Tian, 2006. A hybrid interpolation method for the refinement of a regular grid digital elevation model, International Journal of Geographical Information Science, 20(l):53-67.
14. Tempfli, K., 1980. Spectral analysis of terrain relief for the accuracy estimation of digital terrain models, ITC Journal, 3:478-510.
15. USGS, 1998. Digital Elevation Model Standards, URL: http://rockyweb. cr.usgs.gov/nmpstds/acrodocs/dem/2DEM0198.PDF (last date accessed: 27 February 2009).
16. Wise, S., 2000. Assessing the quality for hydrological applications of digital elevation models derived from contours, Hydrological Process, 14:1909-1929.
17. Zhu, C.Q., W.Z. Shi, Q.Q. Li, G. Wang, T. Cheung, E. Dai, and G.Y.K. Shea, 2005. Estimation of average DEM accuracy under linear interpolation considering random error at the nodes of TIN model, International Journal of Remote Sensing, 26(24):5509-5523.