Average Information of Positions as a New Index of Position Uncertainty and its Application to Optimization of Geodetic Networks

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  • 位置の不確定さの新しい指標としての位置平均情報量と測地観測網の最適化への応用
  • イチ ノ フカクテイ サ ノ アタラシイ シヒョウ ト シテ ノ イチ ヘイキン ジョウホウリョウ ト ソクチ カンソクモウ ノ サイテキカ エ ノ オウヨウ

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Average information of positions has been contrived to quantify uncertainty of point positions based on the information theory. The average information of positions as an index of position uncertainty can be used even for a case that geodetic observations are insufficient to determine coordinates, though an appropriate probability distribution of the coordinates should be assumed. The average information of positions was applied as an objective criterion to optimization of geodetic networks in terms of observation weights, the second-order design problem, and the method of obtaining the optimal weights of geodetic networks has been studied . As an example of solution by this method, formulas of the optimal weights for distance networks with one unknown point were derived and property of the optimal solution has been investigated.

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