Journal of the Geodetic Society of Japan
Online ISSN : 2185-517X
Print ISSN : 0038-0830
ISSN-L : 0038-0830
Volume 51, Issue 4
Displaying 1-4 of 4 articles from this issue
  • Davaadorjin Monhor, Shuzo Takemoto
    2005 Volume 51 Issue 4 Pages 175-189
    Published: December 25, 2005
    Released on J-STAGE: July 05, 2011
    JOURNAL FREE ACCESS
    In the community of geodesy it is well-known that the famous normal distribution originated from the mathematical analysis of observational errors in astronomical and geodetic measurements. However, as far as we know this aspect of scientific history which is of considerable interest for the community of geodesy has not been considered in geodetic literature. We put forward our own independent views that make several refinements to the topic, and give - using the modern results of the central limit theorem - a new straightforward derivation of normal distribution from the Hagen's hypotheses. We observed and presented in this paper that a characteristic property of normal distribution discovered by Forster, a geodesist and Pblya, a mathematician gave rise to theory of stable distributions which is an important new branch of modern probability theory.
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  • Kazuo Komaki
    2005 Volume 51 Issue 4 Pages 187-197
    Published: December 25, 2005
    Released on J-STAGE: September 07, 2010
    JOURNAL FREE ACCESS
    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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  • Interf erometry and a Case Study on Rice Field up-down in Reclaimed Land Area around the Ariake Sea
    Satoshi Fujiwara, Hiroyuki Nakai, Akifusa Itabashi, Mikio Tobita, Hiro ...
    2005 Volume 51 Issue 4 Pages 199-213
    Published: December 25, 2005
    Released on J-STAGE: September 07, 2010
    JOURNAL FREE ACCESS
    Synthetic aperture radar interferometry (InSAR) from space has become an important and powerful tool for measuring dense spatial distribution of surface deformation of the Earth. There are two major error sources in repeat-pass interferograms: differential atmospheric delay and decorrelation. The atmospheric delay noise becomes larger at longer spatial wave length and the decorrelation has no relation to spatial wave length. Therefore, the total precision of InSAR is better at shorter wave length phenomena and InSAR is found to be useful to detect displacements smaller than several kilometer horizontal scale. As a case study for detection of small area displacements, we detected rice field up-down in reclaimed land area around the Ariake Sea. The rice field sinks mainly at the time of harvesting rice season but according to the time and circumstances it rises. The cause of the up-down is likely due to the soil of the reclaimed land that largely swells and shrinks according to moisture of the soil.
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  • Akihiro Tanabe, Jiro Segawa
    2005 Volume 51 Issue 4 Pages 215-222
    Published: December 25, 2005
    Released on J-STAGE: September 07, 2010
    JOURNAL FREE ACCESS
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