國立高雄大學圖資館 |

登入

回首頁 到查詢結果 [ subject:"Statistics and Computing." ]

Optimal surface fitting of point clouds using local refinementapplication to GIS Data /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Optimal surface fitting of point clouds using local refinementby Gaël Kermarrec, Vibeke Skytt, Tor Dokken.
其他題名:	application to GIS Data /
作者:	Kermarrec, Gael.
其他作者:	Skytt, Vibeke.
出版者:	Cham :Springer International Publishing :2023.
面頁冊數:	xix, 111 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Spline theory.
電子資源:	https://doi.org/10.1007/978-3-031-16954-0
ISBN:	9783031169540$q(electronic bk.)

Optimal surface fitting of point clouds using local refinementapplication to GIS Data /
Kermarrec, Gael.

Optimal surface fitting of point clouds using local refinementapplication to GIS Data /[electronic resource] :by Gaël Kermarrec, Vibeke Skytt, Tor Dokken. - Cham :Springer International Publishing :2023. - xix, 111 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in earth system sciences,2191-5903. - SpringerBriefs in earth system sciences..

Introduction -- Locally Refined Splines -- Adaptive surface Fitting with Local Refinement: LR B-spline Surfaces -- A Statistical Criterion to Judge the Goodness of Fit of LR B-splines Surface Approximation -- LR B-splines for Representation of Terrain and Seabed: Data Fusion, Outliers, and Voids -- LR B-spline Surfaces and Volumes for Deformation Analysis of Terrain Data -- Conclusion.

Open access.

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.

ISBN: 9783031169540$q(electronic bk.)

Standard No.: 10.1007/978-3-031-16954-0doiSubjects--Topical Terms:

229127
Spline theory.

LC Class. No.: QA224 / .K47 2023

Dewey Class. No.: 511.4223

Optimal surface fitting of point clouds using local refinementapplication to GIS Data /
LDR:02777nmm a2200349 a 4500 001 644696
003 DE-He213
005 20221214195038.0
006 m d
007 cr nn 008mamaa
008 231208s2023 sz s 0 eng d
020 $a 9783031169540$q(electronic bk.)
020 $a 9783031169533$q(paper)
024 7 $a 10.1007/978-3-031-16954-0 $2 doi
035 $a 978-3-031-16954-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA224 $b .K47 2023
072 7 $a RGW $2 bicssc
072 7 $a COM018000 $2 bisacsh
072 7 $a RGW $2 thema
082 0 4 $a 511.4223 $2 23
090 $a QA224 $b .K39 2023
100 1 $a Kermarrec, Gael. $3 953361
245 1 0 $a Optimal surface fitting of point clouds using local refinement $h [electronic resource] : $b application to GIS Data / $c by Gaël Kermarrec, Vibeke Skytt, Tor Dokken.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2023.
300 $a xix, 111 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a SpringerBriefs in earth system sciences, $x 2191-5903
505 0 $a Introduction -- Locally Refined Splines -- Adaptive surface Fitting with Local Refinement: LR B-spline Surfaces -- A Statistical Criterion to Judge the Goodness of Fit of LR B-splines Surface Approximation -- LR B-splines for Representation of Terrain and Seabed: Data Fusion, Outliers, and Voids -- LR B-spline Surfaces and Volumes for Deformation Analysis of Terrain Data -- Conclusion.
506 $a Open access.
520 $a 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.
650 0 $a Spline theory. $3 229127
650 0 $a Geographic information systems $x Mathematics. $3 281464
650 1 4 $a Geographical Information System. $3 913165
650 2 4 $a Computational Mathematics and Numerical Analysis. $3 274020
650 2 4 $a Statistics and Computing. $3 922173
700 1 $a Skytt, Vibeke. $3 953362
700 1 $a Dokken, Tor. $3 256443
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a SpringerBriefs in earth system sciences. $3 558056
856 4 0 $u https://doi.org/10.1007/978-3-031-16954-0
950 $a Earth and Environmental Science (SpringerNature-11646)