This paper presents a new method for extending B-Spline curve. Cubic Bézier curve is used to construct the extending segment and G 2 continuity is used to describe the smoothness of joint point. Optimization objective functions are established based on the minimum precise exact energy and the minimum precise curvature variation of the extending curve, respectively. The degree of freedom of the extended curve is determined by minimizing the objective functions. The non-linear optimization can be transform to non-linear least-square problem which can be linearized by a Gauss-Newton iterative algorithm. New control points are computed by extending curve and original curve. The comparison of the curves with different objective functions is included. © 2008 Springer Berlin Heidelberg.
CITATION STYLE
Zhou, Y. F., Zhang, C. M., & Gao, S. S. (2008). Extension of B-spline curves with G 2 continuity. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5359 LNCS, pp. 1096–1105). https://doi.org/10.1007/978-3-540-89646-3_109
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