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Optimal surface fitting of point clouds using local refinement : application to GIS Data / Gaël Kermarrec, Vibeke Skytt, Tor Dokken.

Kermarrec, Gaël, author.; Skytt, Vibeke, author.; Dokken, Tor, author.
2023
QA224
Available Online
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Title
Optimal surface fitting of point clouds using local refinement : application to GIS Data / Gaël Kermarrec, Vibeke Skytt, Tor Dokken.
Author
Kermarrec, Gaël, author.
ISBN
9783031169540 (electronic bk.)
3031169549 (electronic bk.)
9783031169533 (print)
DOI
https://doi.org/10.1007/978-3-031-16954-0
Published
Cham : Springer, 2023.
Language
English
Description
1 online resource (xix, 111 pages) : illustrations (some color).
Item Number
10.1007/978-3-031-16954-0 doi
Call Number
QA224
Dewey Decimal Classification
511/.4223
Summary
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.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Open Access.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed December 20, 2022).
Added Author
Skytt, Vibeke, author.
Dokken, Tor, author.
Series
SpringerBriefs in earth system sciences.
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Online Access
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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.

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