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010   $a3-031-16954-9
035   $a(PPN)27738687X
035   $a(CKB)5680000000295203
035   $a(oapen)https://directory.doabooks.org/handle/20.500.12854/96231
035   $a(MiAaPQ)EBC7157808
035   $a(Au-PeEL)EBL7157808
035   $a(OCoLC)1355847823
035   $a(EXLCZ)995680000000295203
100   $a20230317d2023      uy         0
101 0 $aeng
135   $aurmn|---annan
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aOptimal Surface Fitting of Point Clouds Using Local Refinement $eApplication to GIS Data
205   $a1st ed.
210  1$aCham :$cSpringer International Publishing AG,$d2023.
210  4$d©2023.
215   $a1 electronic resource (111 p.)
225 1 $aSpringerBriefs in Earth System Sciences
311   $a3-031-16953-0 
330   $aThis open access book provides insights into the novel Locally Refined B-spline (LR B-spline) surface format, which is suited for representing terrain and seabed data in a compact way. It provides an alternative to the well know raster and triangulated surface representations. An LR B-spline surface has an overall smooth behavior and allows the modeling of local details with only a limited growth in data volume. In regions where many data points belong to the same smooth area, LR B-splines allow a very lean representation of the shape by locally adapting the resolution of the spline space to the size and local shape variations of the region. The iterative method can be modified to improve the accuracy in particular domains of a point cloud. The use of statistical information criterion can help determining the optimal threshold, the number of iterations to perform as well as some parameters of the underlying mathematical functions (degree of the splines, parameter representation). The resulting surfaces are well suited for analysis and computing secondary information such as contour curves and minimum and maximum points. Also deformation analysis are potential applications of fitting point clouds with LR B-splines.
410  0$aSpringerBriefs in Earth System Sciences
606   $aInformation technology: general issues$2bicssc
606   $aGeography$2bicssc
606   $aNumerical analysis$2bicssc
606   $aMathematical & statistical software$2bicssc
610   $aSurface Modeling
610   $aOptimum Point Cloud Approximation
610   $aAkaike Information Criterion
610   $aLR B-Splines
610   $aContour Curves Determination
610   $aDeformation Analysis
610   $aBathymetry data
615  7$aInformation technology: general issues
615  7$aGeography
615  7$aNumerical analysis
615  7$aMathematical & statistical software
700   $aKermarrec$b Gaël$01281621
701   $aSkytt$b Vibeke$01338939
701   $aDokken$b Tor$01181102
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910635388503321
996   $aOptimal Surface Fitting of Point Clouds Using Local Refinement$93059226
997   $aUNINA