Gridding heterogeneous bathymetric data sets with stacked continuous curvature splines in tension |
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| Authors: | Email author" target="_blank">Benjamin?HellEmail author Martin?Jakobsson |
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| Institution: | (1) Department of Geological Sciences, Stockholm University, 10691 Stockholm, Sweden |
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| Abstract: | Gridding heterogeneous bathymetric data sets for the compilation of Digital bathymetric models (DBMs), poses specific problems
when there are extreme variations in source data density. This requires gridding routines capable of subsampling high-resolution
source data while preserving as much as possible of the small details, at the same time as interpolating in areas with sparse
data without generating gridding artifacts. A frequently used gridding method generalizes bicubic spline interpolation and
is known as continuous curvature splines in tension. This method is further enhanced in this article in order to specifically
handle heterogeneous bathymetric source data. Our method constructs the final grid through stacking several surfaces of different
resolutions, each generated using the splines in tension algorithm. With this approach, the gridding resolution is locally
adjusted to the density of the source data set: Areas with high-resolution data are gridded at higher resolution than areas
with sparse source data. In comparison with some of the most widely used gridding methods, our approach yields superior DBMs
based on heterogeneous bathymetric data sets with regard to preserving small bathymetric details in the high-resolution source
data, while minimizing interpolation artifacts in the sparsely data constrained regions. Common problems such as artifacts
from ship tracklines are suppressed. Even if our stacked continuous curvature splines in tension gridding algorithm has been
specifically designed to construct DBMs from heterogeneous bathymetric source data, it may be used to compile regular grids
from other geoscientific measurements. |
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