Interpolation based on isolines: line-geometry-based inverse distance weighted interpolation (L-IDW) with sample applications from the geosciences [Interpolation auf der Basis von Isolinien: Geowissenschaftlichen Anwendungsbeispiele für ein Linien-basiertes Inverse-Distanzen-Interpolationsverfahren (L-IDW)]

Author： Gossel Wolfgang Chudy Thomas Falkenhagen Michael

Publisher： E. Schweizerbart'sche Verlagsbuchhandlung

ISSN： 1860-1804

Source： Zeitschrift der Deutschen Gesellschaft für Geowissenschaften, Vol.163, Iss.4, 2012-12, pp. : 493-505

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Abstract

For many applications in the geosciences, interpolations are used to get a quasi-continuous distribution based on discrete measurements and their interpretation. An interpolation method was developed to take into account the detailed information of lines instead of point measurements. Mostly, point data are utilised for interpolations, but in some cases, it is more appropriate to use line information, e.g. for the outline of subsurface glacial channels, coastlines or hydrochemical facies. Owing to the dominance of point databases, interpolation methods such as inverse distance weighting (IDW), triangular irregular network (TIN), the nearest neighbour (NN) method and the geostatistical methods with kriging were developed. Lines, on the other hand, give more information about a surface than only point data. Therefore, a new interpolation method was developed that uses interpreted line data instead of point data. This method is based on the shape of the lines and uses the values of the two next lines with different height values.