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XU Liang-Hong, MEN Yong, CHEN Tie. Geometric Continuity Hermite Interpolation for Spatial CurvesJ. Journal of Computer-Aided Design & Computer Graphics, 2001, 13(2): 158-162.
Citation: XU Liang-Hong, MEN Yong, CHEN Tie. Geometric Continuity Hermite Interpolation for Spatial CurvesJ. Journal of Computer-Aided Design & Computer Graphics, 2001, 13(2): 158-162.
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Geometric Continuity Hermite Interpolation for Spatial Curves

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  • A 3-dimensional quartic Bèzier curve for given GC2 Hermite interpolation conditions is constructed. Study shows that the solution exists locally and possesses one degree of freedom. Moreover, the approximation order of the interpolation is proven to be 6.
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