Curve and surface approximation of 3D point clouds

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

Organisationseinheiten

Externe Organisationen

  • Technische Universität Wien (TUW)
Forschungs-netzwerk anzeigen

Details

Titel in ÜbersetzungKurven- und Flächen-Approximation von 3D-Punktwolken
OriginalspracheEnglisch
Seiten (von - bis)315-327
Seitenumfang13
FachzeitschriftAVN Allgemeine Vermessungs-Nachrichten
Jahrgang123
Ausgabenummer11-12
PublikationsstatusVeröffentlicht - 2016

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.

ASJC Scopus Sachgebiete

Zitieren

Curve and surface approximation of 3D point clouds. / Bureick, Johannes; Neuner, Hans; Harmening, Corinna et al.
in: AVN Allgemeine Vermessungs-Nachrichten, Jahrgang 123, Nr. 11-12, 2016, S. 315-327.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Bureick J, Neuner H, Harmening C, Neumann I. Curve and surface approximation of 3D point clouds. AVN Allgemeine Vermessungs-Nachrichten. 2016;123(11-12):315-327.
Bureick, Johannes ; Neuner, Hans ; Harmening, Corinna et al. / Curve and surface approximation of 3D point clouds. in: AVN Allgemeine Vermessungs-Nachrichten. 2016 ; Jahrgang 123, Nr. 11-12. S. 315-327.
Download
@article{71f4103d871d4995a6c30291241dd30e,
title = "Curve and surface approximation of 3D point clouds",
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.",
keywords = "B-spline, Bezier, Curve, NURBS, Polynomials, Surf",
author = "Johannes Bureick and Hans Neuner and Corinna Harmening and Ingo Neumann",
year = "2016",
language = "English",
volume = "123",
pages = "315--327",
number = "11-12",

}

Download

TY - JOUR

T1 - Curve and surface approximation of 3D point clouds

AU - Bureick, Johannes

AU - Neuner, Hans

AU - Harmening, Corinna

AU - Neumann, Ingo

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - B-spline

KW - Bezier

KW - Curve

KW - NURBS

KW - Polynomials

KW - Surf

UR - http://www.scopus.com/inward/record.url?scp=85002823103&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85002823103

VL - 123

SP - 315

EP - 327

JO - AVN Allgemeine Vermessungs-Nachrichten

JF - AVN Allgemeine Vermessungs-Nachrichten

SN - 0002-5968

IS - 11-12

ER -

Von denselben Autoren