Two-Dimensional Interpolation with B-Splines

-Its Application for the Bouguer Anomaly Distribution in Fukaya Area-

Abstract

Geodetic measurements are usually carried out at a number of randomly spaced points on the ground. Hence the data are obtained for these survey points. When we want to deduce the corresponding values for other points among them, it is necessary to smooth and interpolate those irregularly spaced survey data in two-dimension. In the several methods for this purpose, the one employing B-spline seems the most convenient and appropriate for the geodetic data. In this paper, first, we explain the method for two-dimensional smoothing and interpolation with B-splines and, second, we apply it to the Bouguer anomaly data in Fukaya area. An obtained contour map is also given. From the map, we can see the interpolation is reasonably done except for its boundary area. This is because the data are sparsely distributed in the area.