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Laplace-Gradient Wavelet Pyramid and Multiscale Tensor Structures Applied on High-Resolution DEMs

M. Kalbermatten, D. Van De Ville, S. Joost, M. Unser, F. Golay

Proceedings of Geomorphometry 2009 (G'09), Zürich ZH, Swiss Confederation, August 31-September 2, 2009, pp. 124-132.


Wavelet decompositions are a powerful tool for multiscale image analysis. Their use in DEMs (Digital Elevation Models) analysis is still limited. Nevertheless, some researchers (de Boer 1992, Wilson & Gallant 2000) demonstrated that scale and structure play an important role to determine the elementary shape of landscape features. Wavelets are ideally localized functions fulfilling that condition (Mahler 2001, Gallant & Hutchinson 1996).

Wavelet analysis of high-resolution (1-meter) DEMs is highly complementary to morphometric indicators (Wood 1996); e.g., applications include multiscale filtering and enhancement. Here, we introduce various methods using wavelets and structure tensors in order to show the multiscale nesting of landscape features. The method was applied on a DEM including a well-known landslide, and the results were compared to an ordinary geomorphological analysis. The aim is to show the potential of this method and to give hints for further development of such tools in terrain analysis systems.

References

  1. D.H. de Boer, "Hierarchies and Spatial Scale in Process Geomorphology: A Review," Geomorphology, vol. 4, no. 5, pp. 303-318, March 1992.

  2. J.P. Wilson, J.C. Galant, Terrain Analysis: Principles and Applications, John Wiley & Sons, 479 p., 2000.

  3. E. Mahler, "Scale-Dependent Filtering of High Resolution Digital Terrain Models in the Wavelet Domain," MSc. Thesis, Department of Geography, University of Zürich, Switzerland, 2001.

  4. J.C. Gallant, M.F. Hutchinson, "Towards an Understanding of Landscape Scale and Structure," Third International Conference/Workshop on Integrating GIS and Environmental Modeling, Santa Fe CA, USA, January 21-25, 1996.

  5. J. Wood, "The Geomorphological Characterisation of Digital Elevation," PhD. Thesis, City University London, UK, 1996.

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© 2009 University of Zürich. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from University of Zürich. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.
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