Numerical Techniques for Underwater Topographic Measurement with GPS and Echo Sounder

Satoshi Iwakami(1*), Masahiko Tamega(2), Shuji Jimbo(3), Masaji Watanabe(4),

(1) Earth Rise Co. Ltd., Okayama, Japan
(2) Earth Rise Co. Ltd., Okayama, Japan
(3) Graduate School of Natural Science, Okayama University, Okayama, Japan 3Specially
(4) Specially Appointed Professor, Okayama University, Okayama, Japan
(*) Corresponding Author

Abstract


This study demonstrates numerical techniques for a topographic study of a water area. Data obtained by a GPS unit and an echo sounder were combined, and three dimensional data were generated. A problem to find a surface that contains those data points was reformulated to a problem to find a piecewise linear continuous function defined over a triangular mesh. An iterative method led to an approximation of a fixed point. Those techniques are illustrated, and numerical examples are introduced.


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References


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DOI: https://doi.org/10.30645/ijistech.v3i1.37

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