Abstract
A method for representing two dimensional data for purposes of smoothing, interpolation and compression is presented. The underlying model is composed of a finite sum of pseudo-potential elements which play a role similar to that of sources and sinks in potential field theory. The local behaviour of the data is exploited along with the structure of the pseudo-potential function in converting the non-linear parameter estimation problem into linear subproblems, which are solved by standard techniques. A criterion for selecting the number of field elements to be used in the representation is proposed. The resolution of the proposed technique as a function of the number of elements used and the data size is illustrated by solving a problem of topographical mapping from radar altimetry data.
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© 1983 D. Reidel Publishing Company
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Baram, Y., Margalit, M. (1983). Reconstruction and Compression of Two Dimensional Fields from Sampled Data by Pseudo-Potential Functions. In: Bucy, R.S., Moura, J.M.F. (eds) Nonlinear Stochastic Problems. NATO ASI Series, vol 104. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7142-4_37
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DOI: https://doi.org/10.1007/978-94-009-7142-4_37
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-7144-8
Online ISBN: 978-94-009-7142-4
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