Abstract
Multiscale Kalman smoothers (MKS) have been previously employed for data fusion applications and estimation of topography. However, the standard MKS algorithm embedded with a single stochastic model gives suboptimal performance when estimating non-stationary topographic variations, particularly when there are sudden changes in the terrain. In this work, multiple MKS models are regulated by a mixture-of-experts (MOE) network to adaptively fuse the estimates. Though MOE has been widely applied to one-dimensional time series data, its extension to multiscale estimation is new.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
9 References
P. W. Fieguth, W. C. Karl, A. S. Willsky, and C. Wunsch, “Multiresolution optimal interpolation and statistical analysis of TOPEX/POSEIDON satellite altimetry,” IEEE Trans. Geosci. Remote Sensing, vol. 33, pp. 280–292, Mar. 1995.
K. C. Slatton, M. M. Crawford, and B. L. Evans, “Fusing interferometric radar and laser altimeter data to estimate surface topography and vegetation heights,” IEEE Trans. Geosci. Remote Sensing, vol. 39, pp. 2470–2482, November 2001.
W. S. Chaer, R. H. Bishop, J. Ghosh, “A mixture of Experts framework for adaptive Kalman filtering,” IEEE Trans. Systems, Man and Cybernetics, vol. 27, no. 3, June 1997.
K. Jeyarani, and K. Jayaram Hebbar, “ Fractal concept to the classification of crop and forest type in IRS data,” IEEE Geoscience and Remote Sensing Symposium, vol. 1, pp.784–786, May 1996.
K. C. Clarke, “Computation of the fractal dimension of topographic surfaces using the triangular prism surface area method,” Computers and Geoscience, vol. 12 No 5, pp 713–722, May 1986.
Manfred Schroeder, Fractals, Chaos, Power Laws, Freeman, 1992.
J. L. Starck, F. Murtagh, and A. Bijaoui, Image Processing and Data Analysis: the Multiscale Approach, Cambridge, 1998.
Donald L. Turcotte, Fractals and Chaos in Geology and Geophysics, 2nd ed., Cambridge, 1997.
Heinz-Otto Peitgen, and Dietmar Saupe, The Science of Fractal Images, Springer-Verlag, 1988.
P. S. Maybeck, P. D. Hanlon, “Performance enhancement of a multiple model adaptive estimator,” IEEE Trans. Aerospace and Electronic Systems, vol. 31, no. 4, October 1995.
D. T. Magill, “Optimal adaptive estimation of sampled stochastic processes,” IEEE Trans. Automatic Control, vol. ac-10, no.4, October 1995.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Slatton, K., Nagarajan, K., Aggarwal, V., Lee, H., Carter, W., Shrestha, R. (2005). Multiscale Estimation of Terrain Complexity Using ALSM Point Data on Variable Resolution Grids. In: Jekeli, C., Bastos, L., Fernandes, J. (eds) Gravity, Geoid and Space Missions. International Association of Geodesy Symposia, vol 129. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26932-0_39
Download citation
DOI: https://doi.org/10.1007/3-540-26932-0_39
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26930-4
Online ISBN: 978-3-540-26932-8
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)