American Society of Civil Engineers


Solving an Inverse Problem of a Meridian Arc in Terms of Computer Algebra System


by Shaofeng Bian, (corresponding author), (Prof., Dept. of Elec. Engrg., Inst. of Navigation, Navy Univ. of Engrg., Jiefang St. 717, Wuhan 430033, China E-mail: sfbian@sina.com) and Yongbing Chen, (Prof., Dept. of Elec. Engrg., Iinst. of Navigation, Navy Univ. of Engrg., Jiefang St. 717, Wuhan 430033, China)

Journal of Surveying Engineering, Vol. 132, No. 1, February 2006, pp. 7-10, (doi:  http://dx.doi.org/10.1061/(ASCE)0733-9453(2006)132:1(7))

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Document type: Journal Paper
Abstract: In terms of computer algebra systems, an inverse problem of a meridian arc is discussed in two somewhat different ways in this paper. One is the conventional power series method and the other is a Hermite interpolation. The research in the paper shows that the derived new solutions are concise in form and high in accuracy. The paper also shows that a computer algebra system is a powerful tool to solve some mathematical derivations in geodesy, surveying, and cartography.


ASCE Subject Headings:
Mapping
Mathematics
Geodetic surveys