Semi-vectorization: an efficient technique for synthesis and analysis of gravity gradiometry data |
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| Authors: | Mehdi Eshagh Makan Abdollahzadeh |
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| Institution: | (1) Division of Geodesy, Royal Institute of Technology, Stockholm, Sweden |
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| Abstract: | The harmonic synthesis and analysis of the elements of gravitational tensor can be done in few minutes if a suitable programming
algorithm is used. Vectorization is an efficient technique for such processes, but the size of matrices will increase when
the resolution of synthesis or analysis is high; say higher than 0.5° × 0.5°. Here, we present a technique to manage the computer
memory and computational time by excluding one computational loop from the matrix products and we call this method semi-vectorization.
Based on this technique, we synthesize the gravitational tensor using the EGM96 geopotential model and after that we analyze
the tensor for recovering the geopotential coefficients. MATLAB codes are provided which are able to analyze 224 millions
gradiometric data, corresponding to a global grid of 2.5′ × 2.5′ on a sphere in 1,093 s by a personal computer with 2 Gb RAM. |
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