03254nam 22006253 450 991063538850332120240607113051.03-031-16954-9(PPN)27738687X(CKB)5680000000295203(oapen)https://directory.doabooks.org/handle/20.500.12854/96231(MiAaPQ)EBC7157808(Au-PeEL)EBL7157808(OCoLC)1355847823(EXLCZ)99568000000029520320230317d2023 uy 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierOptimal Surface Fitting of Point Clouds Using Local Refinement Application to GIS Data1st ed.Cham :Springer International Publishing AG,2023.©2023.1 electronic resource (111 p.)SpringerBriefs in Earth System Sciences3-031-16953-0 This open access book provides insights into the novel Locally Refined B-spline (LR B-spline) surface format, which 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 behavior and allows the modeling 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 iterative method can be modified to improve the accuracy in particular domains of a point cloud. The use of statistical information criterion can help determining the optimal threshold, the number of iterations to perform as well as some 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. Also deformation analysis are potential applications of fitting point clouds with LR B-splines.SpringerBriefs in Earth System SciencesInformation technology: general issuesbicsscGeographybicsscNumerical analysisbicsscMathematical & statistical softwarebicsscSurface ModelingOptimum Point Cloud ApproximationAkaike Information CriterionLR B-SplinesContour Curves DeterminationDeformation AnalysisBathymetry dataInformation technology: general issuesGeographyNumerical analysisMathematical & statistical softwareKermarrec Gaël1281621Skytt Vibeke1338939Dokken Tor1181102MiAaPQMiAaPQMiAaPQBOOK9910635388503321Optimal Surface Fitting of Point Clouds Using Local Refinement3059226UNINA