Author： Amod Ameer Merry Charles L
Publisher： Maney Publishing
ISSN： 1752-2706
Source： Survey Review, Vol.36, Iss.285, 2002-07, pp. : 508-520
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Abstract
Quasi-geoids for the south western Cape, a coastal province of South Africa, and the Gauteng area, in the north-east of South Africa, have been computed by the application of the two-dimensional (2D) spherical fast Fourier transform (SFFT) to Molodensky's formula. The gravimetric quasi-geoids for the south western Cape and Gauteng were computed on a grid resolution of one arc-minute. Validation of the gravimetric quasi-geoid models with GPS/levelling-derived geometric quasi-geoids via a simple planar transformation resulted in a root mean square (RMS) discrepancy of about 4cm for the south western Cape area and about 1.3cm for area of Gauteng. The quasi-geoids have also been evaluated using the 2D planar FFT and 2D multi-band SFFT and our results confirm the suitability of using a 2D SFFT's for geoid/quasi-geoid computation in mid-latitude regions.
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