R. Ďurikovič and S. Czanner
Coons body, multivariate parametric solids, B-spline basis functions
This article discusses the mathematical concepts of multivariate parametric solids and their description by B-spline basis functions. Parametric solids can model both the shape and unisotropic interior. Three types of parametric solids, Coons body of types 0, 1, and 2, are used to demonstrate the interior modelling often used as initial or boundary conditions in numerical simulation. Multiple parametric solid elements can be joined together to form a complicated shape. Continuity between elements can be defined as in B-spline modelling. The proposed methodology and modelling technique is applied to a metamorphosis of two given 3-D shapes.
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