The degree of freedom of free networks.

概要

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With numerical experiments and considerations concerning the degree of freedom of free networks, the following results have been obtained. In the case of fixing a figure on a plane or a sphere, there are three degrees of freedom, that is, two for the translation and one for the rotation. However, free networks on general curved surfaces do not necessarily have the three degrees of freedom when the radius of curvature varies according to the position on the surface. As the simplest case of geodetic networks on the reference ellipsoid, the adjustment of rhombus network was studied by numerical analysis. When the size of the network becomes larger than the order of a few tens of kilometers, several peculiar phenomena appear which differ from ordinary results on a spherical surface.
日本測地学会の論文