New Analytical Approach to Linear Intersection and its Application

Huai En Zeng

doi:10.4028/www.scientific.net/AMM.174-177.1962

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 174-177New Analytical Approach to Linear Intersection and...

New Analytical Approach to Linear Intersection and its Application

Abstract:

Linear intersection is a frequently encountered issue in surveying engineering. The paper firstly reviews the common analytical approaches, and then introduces a new analytical approach based on Sylvester resultant, which does not use differencing and substitution, thus is direct and faster, lastly it is very efficient to make the adjustment of more than two known points’ linear intersection with the initial values computed by the new approach. Numerical case is demonstrated.