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:
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