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《Journal of Software》 2005-04
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Geometric Hermite Interpolation for Space Curves by B-Spline

ZHU Chun-Gang+, WANG Ren-Hong (Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China)  
This paper considers the space GC2 Hermite interpolation by cubic B-spline curve which is based on de Boor’s idea for constructing the planar GC2 Hermite interpolation. In addition to position and tangent direction, the curvature vector is interpolated at each point. It is proved that under appropriate assumptions the interpolant exists locally with two degrees of freedom and the 4th order accuracy.
【Key Words】: spline curve interpolation geometric smoothness accuracy
【Fund】: 国家自然科学基金;; 广东省自然科学基金~~
【CateGory Index】: TP391.7
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