Isogeometric Segmentation via Midpoint Subdivision Suitable Solids
2019; Elsevier BV; Volume: 114; Linguagem: Inglês
10.1016/j.cad.2019.05.012
ISSN1879-2685
AutoresMichael Haberleitner, Bert Jüttler, Yannick Masson,
Tópico(s)Manufacturing Process and Optimization
ResumoThe framework of Isogeometric Analysis (IgA) makes frequent use of trivariate NURBS parameterizations (representing topological cuboids) of the computational domain. Several recent publications [1–6] describe methodologies that decompose a given three-dimensional solid in boundary representation into a collection of topological cuboids, or generate trivariate NURBS parameterizations for each of them in a subsequent step. The decomposition can be derived via a segmentation into sufficiently simple "base solids", for which cuboidal multi-patch representations are readily available. Based on midpoint subdivision, we propose a new class of base solids. In addition, we establish the pre-processing step of face pre-segmentation, which simplifies the splitting operations and improves the shape of the resulting topological cuboids. Finally, we show how to realize the midpoint subdivision by a template mapping approach, which simultaneously generates parameterizations of the base solids as trivariate multi-patch NURBS volumes.
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