Optimal Surface Fitting of Point Clouds Using Local Refinement: Application to GIS Data

This open access book discusses the Locally Refined B-spline (LR B-spline) surface format, an efficient representation for terrain and seabed data, offering smooth behavior and local detail modeling with limited data volume growth. It can be optimized using statistical information criteria for accurate point cloud analysis and deformation analysis.

Format: Paperback / softback
Length: 111 pages
Publication date: 15 December 2022
Publisher: Springer International Publishing AG

This open access book delves into the novel Locally Refined B-spline (LR B-spline) surface format, which is highly suitable for representing terrain and seabed data in a compact manner. It presents an alternative to the widely recognized raster and triangulated surface representations. An LR B-spline surface exhibits a smooth overall behavior and enables the modeling of local details with minimal expansion in data volume. In areas where numerous data points share a smooth region, LR B-splines facilitate a 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 iterative method can be modified to enhance accuracy in specific domains of a point cloud. Employing statistical information criteria can assist in determining the optimal threshold, the number of iterations to execute, as well as certain parameters of the underlying mathematical functions (degree of the splines, parameter representation). The resulting surfaces are well-suited for analysis and computing secondary information such as contour curves and minimum and maximum points. Additionally, deformation analysis holds potential applications of fitting point clouds with LR B-splines.

Weight: 215g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031169533
Edition number: 1st ed. 2023