Parametric G n blending of curves and surfaces |
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Authors: | Erich Hartmann |
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Affiliation: | (1) Darmstadt University of Technology, Dept. of Mathematics, Schlossgartenstr. 7, 64289 Darmstadt, Germany e-mail: ehartmann@mathematik.tu-darmstadt.de, DE |
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Abstract: | We introduce a simple blending method for parametric curves and surfaces that produces families of parametrically defined, G n –continuous blending curves and surfaces. The method depends essentially on the parameterizations of the curves/surfaces to be blended. Hence, the flexibility of the method relies on the existence of suitable parameter transformations of the given curves/surfaces. The feasibility of the blending method is shown by several examples. The shape of the blend curve/surface can be changed in a predictable way with the aid of two design parameters (thumb weight and balance). |
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Keywords: | : Gn Continuity – Gn blending – Parametric blending curves – Parametric blending surfaces – Thumb weight |
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