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Terrain Reconstruction from Contours by Skeleton Construction

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Abstract

Generating terrain models from contour input is still an important process. Most methods have been unsatisfactory, as they either do not preserve the form of minor ridges and valleys, or else they are poor at modeling slopes. A method is described here, based on curve extraction and generalization techniques, that is guaranteed to preserve the topological relationships between curve segments. The skeleton, or Medial Axis Transform, can be extracted from the Voronoi diagram of a well-sampled contour map and used to extract additional points that eliminate cases of “flat triangles” in a triangulation. Elevation estimates may be made at these points. Based on this approach it is possible to make reasonable estimates of slopes for terrain models, and to extract meaningful intermediate points for triangulated irregular networks (TINs).

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References

  1. H. Alt and O. Schwarzkopf. “The Voronoi diagram of curved objects,” Proceedings, 11th Annual ACM Symposium on Computational Geometry, 89–97, 1995.

  2. N. Amenta, M. Bern, and D. Eppstein. “The crust and the beta-skeleton: combinatorial curve reconstruction,” Graphical Models and Image Processing, Vol. 60:125–135, 1998.

    Google Scholar 

  3. G. Aumann, H. Ebner, and L. Tang. “Automatic derivation of skeleton lines from digitized contours,” ISPRS Journal of Photogrammetry and Remote Sensing, Vol. 46:259–268, Elsevier Science Publishers B.V.: Amsterdam, 1991.

    Google Scholar 

  4. H. Blum. “A transformation for extracting new descriptors of shape,” in W. Whaten Dunn (Ed.), Models for the Perception of Speech and Visual Form. MIT Press: Cambridge, Mass., 153–171, 1967.

    Google Scholar 

  5. A. Carrara, G. Bitelli, and R. Carla. “Comparison of techniques for generating digital terrain models from contour lines,” International Journal of Geographical Information Science, Vol. 11:451–473, 1997.

    Google Scholar 

  6. A.B. Garcia, C.G. Nicieza, J.B.O. Meréé, and A.M. Diaz. “A contour line based triangulating algorithm,” Proceedings, 5th International Symposium on Spatial Data Handling, 273–284, 1990.

  7. C.M. Gold. “Chapter 3—Surface interpolation, spatial adjacency and G.I.S,” in Three Dimensional Applications in Geographic Information Systems (J. Raper, Ed.), Taylor and Francis, Ltd.: London, 21-35, 1989.

    Google Scholar 

  8. C.M. Gold. “Simple topology generation from scanned maps,” Proceedings, Auto-Carto 13, ACM/ASPRS, Seattle, April, 337–346, 1997.

  9. C.M. Gold. “The Quad-Arc data structure,” in Poiker, T.K. and Chrisman, N.R. (Eds.). Proceedings, 8th International Symposium on Spatial Data Handling, Vancouver, BC, 713–724, 1998.

  10. C.M. Gold. “Crust and anticrust: a one-step boundary and skeleton extraction algorithm,” in Proceedings of the ACM Conference on Computational Geometry, Miami, Florida, 189–196, 1999.

  11. C.M. Gold, J. Nantel, and W. Yang. “Outside-in: An alternative approach to forest map digitizing,” International Journal of Geographical Information Systems, Vol. 10:291–310, 1996.

    Google Scholar 

  12. C.M. Gold and J. Snoeyink. “A one-step crust and skeleton extraction algorithm,” Algorithmica, (in press).

  13. L. Guibas and J. Stolfi. “Primitives for the manipulation of general subdivisions and the computation of Voronoi diagrams,” Transactions on Graphics, Vol. 4:74–123, 1985.

    Google Scholar 

  14. R.L. Ogniewicz. “Skeleton-space: a multiscale shape description combining region and boundary information,” Proceedings on Computer Vision and Pattern Recognition, 746–751, 1994.

  15. R. Ogniewicz and M. Ilg. “Skeletons with euclidian metric and correct topology and their application in object recognition and document analysis,” Proceedings of the 4th International Symposium on Spatial Data Handling, Vol. 1:15–24, 1990.

    Google Scholar 

  16. A. Okabe, B. Boots, and K. Sugihara. Spatial Tessellations—Concepts and Applications of Voronoi Diagrams. John Wiley and Sons: Chichester. 1992.

    Google Scholar 

  17. G.J. Robinson. “The accuracy of digital elevation models derived from digitised contour data,” Photogrammetric Record, Vol. 14:805–814, 1994.

    Google Scholar 

  18. R. Weibel, M. Heller. “Digital terrain Modelling,” in Maguire, D.J., M.F. Goodchild, and D.W. Rhind, (Eds.) Geographical Information Systems: Principles and applications. Longman: London, 1990.

    Google Scholar 

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Thibault, D., Gold, C.M. Terrain Reconstruction from Contours by Skeleton Construction. GeoInformatica 4, 349–373 (2000). https://doi.org/10.1023/A:1026509828354

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