Abstract
This article presents a general algorithm for solving cubic TC-B spline curve, and then the expression of the cubic T-B spline. Based on the cubic B-spline basis function, the expression of cubic uniform rational B-spline curve can be derived. Finally, smooth splicing conditions of G 0, G 1, G 2 with the cubic T-B spline and cubic uniform rational B-spline are given. The instance has an important application value in the curve and surface modeling.
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© 2013 Springer-Verlag London
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He, Y., Zhao, W., Zhao, S., Chang, J. (2013). Smooth Connection of Cubic T-B Spline and Uniform Rational B Spline Curves in Industrial Design. In: Zhong, Z. (eds) Proceedings of the International Conference on Information Engineering and Applications (IEA) 2012. Lecture Notes in Electrical Engineering, vol 216. Springer, London. https://doi.org/10.1007/978-1-4471-4856-2_100
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DOI: https://doi.org/10.1007/978-1-4471-4856-2_100
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