Optimal Surface Fitting of Point Clouds Using Local Refinement
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...
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Online |
| Langue: | anglais |
| Publié: |
Springer Nature
2023
|
| Sujets: | |
| Accès en ligne: | ONIX_20230120_9783031169540_14 |
| Tags: |
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1869519711483461632 |
|---|---|
| author | Kermarrec, Gaël Skytt, Vibeke Dokken, Tor |
| author_browse | Dokken, Tor Kermarrec, Gaël Skytt, Vibeke |
| author_facet | Kermarrec, Gaël Skytt, Vibeke Dokken, Tor |
| author_sort | Kermarrec, Gaël |
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-96231 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | Springer Nature |
| publisherStr | Springer Nature |
| record_format | ojs |
| spelling | doab-20.500.12854ir-962312025-07-17T12:15:42Z Optimal Surface Fitting of Point Clouds Using Local Refinement Kermarrec, Gaël Skytt, Vibeke Dokken, Tor Surface Modeling Optimum Point Cloud Approximation Akaike Information Criterion LR B-Splines Contour Curves Determination Deformation Analysis Bathymetry data thema EDItEUR::U Computing and Information Technology::UB Information technology: general topics thema EDItEUR::R Earth Sciences, Geography, Environment, Planning::RG Geography thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::U Computing and Information Technology::UF Business applications::UFM Mathematical and statistical software thema EDItEUR::U Computing and Information Technology::UB Information technology: general topics thema EDItEUR::R Earth Sciences, Geography, Environment, Planning::RG Geography thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::U Computing and Information Technology::UF Business applications::UFM Mathematical and statistical software 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. 2023-01-22T04:06:38Z 2023-01-22T04:06:38Z 2023-01-20T16:53:32Z 2023 book ONIX_20230120_9783031169540_14 https://library.oapen.org/handle/20.500.12657/60790 9783031169540 https://directory.doabooks.org/handle/20.500.12854/96231 eng SpringerBriefs in Earth System Sciences open access image/jpeg image/jpeg image/jpeg image/jpeg n/a n/a n/a n/a https://library.oapen.org/bitstream/20.500.12657/60790/1/978-3-031-16954-0.pdf https://library.oapen.org/bitstream/20.500.12657/60790/1/978-3-031-16954-0.pdf https://library.oapen.org/bitstream/20.500.12657/60790/1/978-3-031-16954-0.pdf https://library.oapen.org/bitstream/20.500.12657/60790/1/978-3-031-16954-0.pdf Springer Nature Springer International Publishing 10.1007/978-3-031-16954-0 10.1007/978-3-031-16954-0 9fa3421d-f917-4153-b9ab-fc337c396b5a e53ce2e9-6435-444c-9239-a3c6446d50d6 9783031169540 DFG - German Research Foundation Springer International Publishing 111 Cham [...] open access |
| spellingShingle | Surface Modeling Optimum Point Cloud Approximation Akaike Information Criterion LR B-Splines Contour Curves Determination Deformation Analysis Bathymetry data thema EDItEUR::U Computing and Information Technology::UB Information technology: general topics thema EDItEUR::R Earth Sciences, Geography, Environment, Planning::RG Geography thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::U Computing and Information Technology::UF Business applications::UFM Mathematical and statistical software thema EDItEUR::U Computing and Information Technology::UB Information technology: general topics thema EDItEUR::R Earth Sciences, Geography, Environment, Planning::RG Geography thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::U Computing and Information Technology::UF Business applications::UFM Mathematical and statistical software Kermarrec, Gaël Skytt, Vibeke Dokken, Tor Optimal Surface Fitting of Point Clouds Using Local Refinement |
| title | Optimal Surface Fitting of Point Clouds Using Local Refinement |
| title_full | Optimal Surface Fitting of Point Clouds Using Local Refinement |
| title_fullStr | Optimal Surface Fitting of Point Clouds Using Local Refinement |
| title_full_unstemmed | Optimal Surface Fitting of Point Clouds Using Local Refinement |
| title_short | Optimal Surface Fitting of Point Clouds Using Local Refinement |
| title_sort | optimal surface fitting of point clouds using local refinement |
| topic | Surface Modeling Optimum Point Cloud Approximation Akaike Information Criterion LR B-Splines Contour Curves Determination Deformation Analysis Bathymetry data thema EDItEUR::U Computing and Information Technology::UB Information technology: general topics thema EDItEUR::R Earth Sciences, Geography, Environment, Planning::RG Geography thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::U Computing and Information Technology::UF Business applications::UFM Mathematical and statistical software thema EDItEUR::U Computing and Information Technology::UB Information technology: general topics thema EDItEUR::R Earth Sciences, Geography, Environment, Planning::RG Geography thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::U Computing and Information Technology::UF Business applications::UFM Mathematical and statistical software |
| topic_facet | Surface Modeling Optimum Point Cloud Approximation Akaike Information Criterion LR B-Splines Contour Curves Determination Deformation Analysis Bathymetry data thema EDItEUR::U Computing and Information Technology::UB Information technology: general topics thema EDItEUR::R Earth Sciences, Geography, Environment, Planning::RG Geography thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::U Computing and Information Technology::UF Business applications::UFM Mathematical and statistical software thema EDItEUR::U Computing and Information Technology::UB Information technology: general topics thema EDItEUR::R Earth Sciences, Geography, Environment, Planning::RG Geography thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::U Computing and Information Technology::UF Business applications::UFM Mathematical and statistical software |
| url | ONIX_20230120_9783031169540_14 |
| work_keys_str_mv | AT kermarrecgael optimalsurfacefittingofpointcloudsusinglocalrefinement AT skyttvibeke optimalsurfacefittingofpointcloudsusinglocalrefinement AT dokkentor optimalsurfacefittingofpointcloudsusinglocalrefinement |