We present a new method to construct a trivariate T-spline representation of complex solids for the application of isogeometric analysis. The proposed technique only demands the surface of the solid as input data. The key of this method lies in obtaining a volumetric parameterization between the solid and a simple parametric domain. To do that, an adaptive tetrahedral mesh of the parametric domain is isomorphically transformed onto the solid by applying the meccano method. The control points of the trivariate T-spline are calculated by imposing the interpolation conditions on points situated both on the inner and on the surface of the solid. The distribution of the interpolating points is adapted to the singularities of the domain in order to preserve the features of the surface triangulation.
CITATION STYLE
Escobar, J. M., Cascon, J. M., Rodríguez, E., & Montenegro, R. (2011). The meccano method for isogeometric solid modeling. In Proceedings of the 20th International Meshing Roundtable, IMR 2011 (pp. 551–568). Kluwer Academic Publishers. https://doi.org/10.1007/978-3-642-24734-7_30
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