论文标题
地形和海床数据的本地精制样条表面：量身定制的近似，出口和分析工具
Locally refined spline surfaces for terrain and sea bed data: tailored approximation, export and analysis tools
论文作者
论文摘要
新型局部精制的B-Spline（LR B-Spline）表面格式适用于以紧凑的方式代表地形和海床数据。它提供了众所周知的栅格和三角形表面表示的替代方法。 LR B-Spline表面具有总体平稳的行为，并允许对本地细节进行建模，而数据量的增长只有有限。在许多数据点属于相同平滑区域LR B型平面的区域中，通过将样条空间的分辨率局部归于该区域的尺寸和局部形状变化，从而可以非常精细地表示形状。这些表面在用户指定的公差内生成了数据点云的平滑组件。可以修改该方法以提高特定域和选定数据点的精度。所得的表面非常适合分析和计算辅助信息，例如轮廓曲线以及最小和最大点。表面可以翻译成所需质量的栅格或镶嵌表面，也可以作为张量产品样条表面的集合出口。还可以使用ISO 10303的第42部分（步骤标准）进行数据传输，该部分在2018年发布了LR B-Splines。
The novel Locally Refined B-spline (LR B-spline) surface format is suited for representing terrain and seabed data in a compact way. It provides an alternative to the well know raster and triangulated surface representations. An LR B-spline surface has an overall smooth behaviour and allows the modelling of local details with only a limited growth in data volume. In regions where many data points belong to the same smooth area LR B-splines allow a very lean representation of the shape by locally adapting the resolution of the spline space to the size and local shape variations of the region. The surfaces generated approximate the smooth component of a cloud of data points within user specified tolerances. The method can be modified to improve the accuracy in particular domains and selected data points. The resulting surfaces are well suited for analysis and computing secondary information such as contour curves and minimum and maximum points. The surfaces can be translated into a raster or a tessellated surface of desired quality or exported as collections of tensor product spline surfaces. Data transfer can also be performed using Part 42 of ISO 10303 (the STEP standard) where LR B-splines were published in 2018.
