A hybrid interpolation method for the refinement of a regular grid digital elevation model

International Journal of Geographical Information Science

Volumn 20, Issue 1, 2006, Pages 53-67

  Shi, W Z ^a   Tian, Y ^a,b  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Bi cubic interpolation; Bilinear interpolation; DEM; Hybrid interpolation; Terrain complexity

Indexed keywords

DIGITAL ELEVATION MODEL; GIS; INTERPOLATION; METHODOLOGY;

EID: 30844444604     PISSN: 13658816     EISSN: 13623087     Source Type: Journal    
DOI: 10.1080/13658810500286943     Document Type: Article

References (19)

1. Akima, H. (1996) Algorithm 760: Rectangular grid data surface fitting that has the accuracy of a bicubic polynomial. ACM Transactions on Mathematical Software, 22, pp. 357-361.
2. Almansa, A. and Cao, F. and Gousseau, Y. and Rougé, B. (2002) Interpolation of digital elevation models using AMLE and related methods. IEEE Transactions on Geoscience and Remote Sensing, 40, pp. 314-325.
3. Caselles, V. and Morel, J. M. and Sbert, C. (1998) An axiomatic approach to image interpolation. IEEE Transactions on Image Processing, 7, pp. 376-386.
4. Fisher, P. F. (1993) Algorithm and implementation uncertainty in viewshed analysis. International Journal of Geographical Information System, 7, pp. 331-347.
5. Gao, J. (1998) Impact of sampling intervals on the reliability of topographic variables mapped from grid DEMs at a micro-scale. International Journal of Geographical Information Science, 12, pp. 875-890.
6. Hutchinson, M. F. (1988) Calculation of hydrologically sound digital elevation models.. In Proceedings of the Third International Symposium on Spatial Data Handling. (pp. 117-133). 17-19 August 1988, Sydney, Australia
7. Hutchinson, M. F. (1989) A new procedure for gridding elevation and stream line data with automatic removal of spurious pits. Journal of Hydrology, 106, pp. 211-232.
8. Hutchinson MF. 1996. A locally adaptive approach to the interpolation of digital elevation models. Third International Conference/Workshop on Integration GIS and Environmental Modelling. NCGIA, University of California, Santa Barbara. Available online at: http://www.ncgia.ucsb.edu/conf/SANTA_FE_CD-ROM/main.html (accessed 2003)
9. Hutchinson, M. F. and Gallant, J. C. (2000) Digital elevation models and representation of terrain shape.. In Terrain Analysis: Principles and Applications. (pp. 29-49). New York: Wiley. In
10. Kidner, D. B. (2003) Higher-order interpolation of regular grid digital elevation models. International Journal of Remote Sensing, 24, pp. 2981-2987.
11. Liu, X. J. (2002) On the accuracy of the algorithm for interpreting grid-based digital terrain model.. In. PhD dissertation, Wuhan University, P.R. China
12. Mitasova, H. and Hofierka, J. (1993) Interpolation by regularized with tension: II Application to terrain modelling and surface geometry analysis. Mathematical Geology, 25, pp. 657-669.
13. Oetken, G. and Parks, T. W. and Schüssler, H. W. (1975) New results in the design of digital interpolators. IEEE Transactions on Acoustics, Speech and Signal Processing, 23, pp. 301-309.
14. Petrie, G. and Kennie, Y. J. M. (1987) Terrain modelling in surveying and civil engineering. Computer-Aided Design, 19, pp. 171-187.
15. Pumar, M. A. (1996) Zooming of terrain imagery using fractal-based interpolation. Computers & Graphics, 20, pp. 171-176.
16. Rees, W. G. (2000) The accuracy of digital elevation models interpolation to higher resolutions. International Journal of Remote Sensing, 21, pp. 7-20.
17. Russell, W. S. (1995) Polynomial interpolation schemes for internal derivative distributions on structured grids. Applied Numerical Mathematics, 17, pp. 129-171.
18. Shenoy, R. G. and Parks, T. W. (1992) An optimal recovery approach to interpolation. IEEE Transactions on Signal Processing, 40, pp. 1987-1996.
19. Torlegard, K. and Östman, A. and Lindgren, R. (1986) A comparative test of photogrammetrically sampled digital elevation models. Photogrammetria, 41, pp. 1-16.