Curve and surface approximation of 3D point clouds

verfasst von
Johannes Bureick, Hans Neuner, Corinna Harmening, Ingo Neumann
Abstract

In many geodetic applications and tasks it is necessary to describe a 3D-point cloud by continuous mathematical functions in order to utilise them for further processing steps, especially for deformation analysis. Depending on the complexity of the object, captured by the 3D-point cloud, and the desired quality of the approximation, different functions can be used. This paper describes the most important mathematical (free-form) surfaces from polynomial functions to Bezier and B-Spline functions to Non-uniform rational B-Splines (NURBS) in this context. Beside the mathematical basics of the functions, the approximation process for curves and surfaces and the crucial modification parameters, especially the model selection, are described.

Organisationseinheit(en)
Geodätisches Institut
Externe Organisation(en)
Technische Universität Wien (TUW)
Typ
Artikel
Journal
AVN Allgemeine Vermessungs-Nachrichten
Band
123
Seiten
315-327
Anzahl der Seiten
13
ISSN
0002-5968
Publikationsdatum
2016
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Tief- und Ingenieurbau, Geografie, Planung und Entwicklung, Erdkunde und Planetologie (sonstige)
Elektronische Version(en)
https://gispoint.de/artikelarchiv/avn/2016/avn-ausgabe-11-122016/3983-curve-and-surface-approximation-of-3d-point-clouds-i-kurven-und-flaechen-approximation-von-3d-punktwolkeni.html (Zugang: Geschlossen)
 

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