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The novel Locally Refined B-spline (LR B-spline) surface format is suited forrepresenting terrain and seabed data in a compact way. It provides analternative to the well know raster and triangulated surface representations.An LR B-spline surface has an overall smooth behaviour and allows the modellingof local details with only a limited growth in data volume. In regions wheremany data points belong to the same smooth area LR B-splines allow a very leanrepresentation of the shape by locally adapting the resolution of the splinespace to the size and local shape variations of the region. The surfacesgenerated approximate the smooth component of a cloud of data points withinuser specified tolerances. The method can be modified to improve the accuracyin particular domains and selected data points. The resulting surfaces are wellsuited for analysis and computing secondary information such as contour curvesand minimum and maximum points. The surfaces can be translated into a raster ora tessellated surface of desired quality or exported as collections of tensorproduct spline surfaces. Data transfer can also be performed using Part 42 ofISO 10303 (the STEP standard) where LR B-splines were published in 2018.

Locally refined spline surfaces for terrain and sea bed data: tailored approximation, export and analysis tools