Wavelet-vaguelette decomposition as a tool in local geoid determination |
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| Affiliation: | 1. Department of Geomatics Engineering, University of Calgary, 2500 University DR NW Calgary, T2N 1N4, Canada;2. GNSS Research Center, Wuhan University, 129 Luoyu Road, Wuhan, 430079, P.R. China;1. School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu 611731, PR China;2. School of Resources and Environment, University of Electronic Science and Technology of China, Chengdu 611731, PR China;3. No.30 Research Institute of China Electronics Technology Group Corporation, Chengdu 610041, PR China;4. School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 611731, PR China |
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| Abstract: | Recently, FFT techniques are frequently applied for local gravity field modeling. Compared to FFT wavelet transformation has some advantages: — higher numerical efficiency, — data compression.The disadvantage of wavelets for gravity field modelling is that the resulting equations are sparse, but not diagonal, as in the FFT case.This paper is to show, how this drawback can be overcome by the use of different systems of orthogonal base functions for data analysis and solution synthesis. |
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