Optimal Surface Fitting of Point Clouds Us...

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Beschreibung

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.

Zusammenfassung

This book is open access, which means that you have free and unlimited access.

Provides a comprehensive description of an innovative surface approximation method for large data set

Shows a new procedure to optimize the surface fitting by means of statistical method

Contains a special chapter on a detailed case study using sea bed data

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2022
Fachbereich:	Geografie
Genre:	Geowissenschaften
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	SpringerBriefs in Earth System Sciences
Inhalt:	xix 111 S. 2 s/w Illustr. 59 farbige Illustr. 111 p. 61 illus. 59 illus. in color.
ISBN-13:	9783031169533
ISBN-10:	3031169530
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Kermarrec, Gaël Dokken, Tor Skytt, Vibeke
Auflage:	1st ed. 2023
Hersteller:	Springer International Publishing Springer International Publishing AG SpringerBriefs in Earth System Sciences
Maße:	235 x 155 x 8 mm
Von/Mit:	Gaël Kermarrec (u. a.)
Erscheinungsdatum:	15.12.2022
Gewicht:	0,213 kg

Artikel-ID: 123026573