• Title/Summary/Keyword: iterative reweighted

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Iterative Least-Squares Method for Velocity Stack Inversion - Part B: CGG Method (속도중합역산을 위한 반복적 최소자승법 - Part B: CGG 방법)

  • Ji Jun
    • Geophysics and Geophysical Exploration
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    • v.8 no.2
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    • pp.170-176
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    • 2005
  • Recently the velocity stack inversion is having many attentions as an useful way to perform various seismic data processing. In order to be used in various seismic data processing, the inversion method used should have properties such as robustness to noise and parsimony of the velocity stack result. The IRLS (Iteratively Reweighted Least-Squares) method that minimizes ${L_1}-norm$ is the one used mostly. This paper introduce another method, CGG (Conjugate Guided Gradient) method, which can be used to achieve the same goal as the IRLS method does. The CGG method is a modified CG (Conjugate Gradient) method that minimizes ${L_1}-norm$. This paper explains the CGG method and compares the result of it with the one of IRSL methods. Testing on synthetic and real data demonstrates that CGG method can be used as an inversion method f3r minimizing various residual/model norms like IRLS methods.

Reliability Analysis of the Three-Dimensional Deformation Measurement by Terrestrial Photogrammetry (지상사진에 의한 삼차원변형측량의 신뢰성 분석(기이))

  • 유복모;유환희;이용희
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.6 no.1
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    • pp.35-41
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    • 1988
  • In the three dimensional deformation analysis by terrestrial photographs, iterative reweighted similarity transformation method is used for more accurate displacement computation. Also, Bayesian Inference method is used in the detection of unstable points and the analytical method for displacement patterns analysis is proposed in this study. In results, the accuracy of displacement estimation was improved by applying the weights of least absolute method ($\Sigma$|d|⇒min) and more accurate detection of displaced points could be achieved by Bayesian Inference. The analytical method in the patterns of displacement proposed in this study could be adapted to the movement analysis of objects wholly or partly.

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