Rigorous Densification of Horizontal Network

Abstract

Statistically rigorous densification of horizontal geodetic networks must consist of a simultaneous adjustment of both the densification and the densified networks. Equivalently, the effect of the already adjusted (existing) network to be densified may be rigorously propagated into the densification network, through an appropriately derived weight matrix of the common station positions. The nonrigorous schemes utilize information available on the existing network in a statistically nonrigorous way. In this paper, two main statistically nonrigorous schemes used in practice are recognized. Their results, both mathematical and numerical, are compared to results obtained rigorously. A way to convert the nonrigorous results into rigorous ones practically and economically is also shown.