Numerical Techniques for Underwater Topographic Measurement with GPS and Echo Sounder

Satoshi Iwakami (Earth Rise Co. Ltd., Okayama, Japan)
Masahiko Tamega (Earth Rise Co. Ltd., Okayama, Japan)
Shuji Jimbo (Graduate School of Natural Science, Okayama University, Okayama, Japan 3Specially)
Masaji Watanabe (Specially Appointed Professor, Okayama University, Okayama, Japan)

IJISTECH (International Journal Of Information System & Technology)
Vol 3, No 1 (2019): November

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.