Eine auf Randpunkten basierte hierarchische Spline Parametrisierung für zwei- und dreidimensionale Strukturen

Translated title of the contribution: A hierarchical spline parametrization method for solid structures from boundary point-cloud data

C. L. Chan, C. Anitescu, Timon Rabczuk

Research output: Contribution to specialist publicationArticle

Abstract

A method for discretizing solid 2D and 3D models obtained from surface representation is developed. The method uses a hierarchical quad-tree (2D) or octree (3D) structure to efficiently represent the surface details without a significant increase in the number of interior elements. Moreover, the geometry of the surface including normal information can be accurately incorporated in the model by using cubic (or higher-order) splines. The resulting model uses the same basis functions (Bezier-Bernstein polynomials) that are used in standard Computer Aided Design (CAD) software. The method has the potential to reduce the difficulties and human intervention required for meshing and creating volumetric models, as it allows the use of general surface representations including those obtained from image data, 3D scanners or B-Rep (boundary representation) models. Potential applications in the field of civil engineering, including rapid modeling of complex 3D structures are being discussed.

Original languageGerman
Pages191-199
Number of pages9
Volume92
No.May
Specialist publicationBauingenieur
Publication statusPublished - 2017 May 1
Externally publishedYes

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Splines
Civil engineering
Computer aided design
Polynomials
Geometry

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction

Cite this

Eine auf Randpunkten basierte hierarchische Spline Parametrisierung für zwei- und dreidimensionale Strukturen. / Chan, C. L.; Anitescu, C.; Rabczuk, Timon.

In: Bauingenieur, Vol. 92, No. May, 01.05.2017, p. 191-199.

Research output: Contribution to specialist publicationArticle

Chan, C. L. ; Anitescu, C. ; Rabczuk, Timon. / Eine auf Randpunkten basierte hierarchische Spline Parametrisierung für zwei- und dreidimensionale Strukturen. In: Bauingenieur. 2017 ; Vol. 92, No. May. pp. 191-199.
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