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The isogeometric segmentation pipeline. (English) Zbl 1334.65045

Jüttler, Bert (ed.) et al., Isogeometric analysis and applications 2014. Selected papers based on the presentations at the IGAA 2014, Annweiler am Trifels, Germany, April 7–10, 2014. Cham: Springer (ISBN 978-3-319-23314-7/hbk; 978-3-319-23315-4/ebook). Lecture Notes in Computational Science and Engineering 107, 51-72 (2015).
Summary: We present a pipeline for the conversion of 3D models into a form suitable for isogeometric analysis (IGA). The input into our pipeline is a boundary represented 3D model, either as a triangulation or as a collection of trimmed non-uniform rational B-spline (NURBS) surfaces. The pipeline consists of three stages: computer aided design (CAD) model reconstruction from a triangulation (if necessary); segmentation of the boundary-represented solid into topological hexahedra; and volume parameterization. The result is a collection of volumetric NURBS patches. In this paper we discuss our methods for the three stages, and demonstrate the suitability of the result for IGA by performing stress simulations with examples of the output.
For the entire collection see [Zbl 1337.65003].

MSC:

65D17 Computer-aided design (modeling of curves and surfaces)

References:

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