Geodetic calculus with block-averages observations on the sphere |
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Authors: | A Albertella F Sacerdote F Sansò |
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Institution: | (1) Dipartimento I.I.A.R., Sezione Rilevamento, Politecnico di Milano, Italy |
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Abstract: | The calculus of spherical harmonic representation of fields of geodetic interest is often performed by applying integral formulas to block-averaged quantities. Due to the dependence of the block areas on latitude, it is difficult to perform a rigorous computation; in this paper the effects of approximations related to the loss of orthogonality in the discretization and averaging procedures are numerically studied; a simple numerical approach to improve the efficiency of the estimates is presented. |
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