Abstract
In this paper, we investigate the geometric continuous connection between the adjacent cubic T-B spline curves, and the construction of transition curve between nonadjacent T-B spline curves. First, we calculate the expression of cubic T-B spline basis function and the expression of cubic T-B spline curve. Then based on the condition of smooth connection between adjacent cubic T-B spline curves, we construct the relations of control points between transition curve and nonadjacent T-B spline curves. Thus we get the geometric continuous connect conditions between transition curve and nonadjacent T-B spline curves.
Project supported by Natural Science Foundation of Hebei Province of China (No. A2009000735, A2010000908), Educational Commission of Hebei Province of China (No.2009448) and Shanghai Key Laboratory for Contemporary Applied Mathematics (09FG067).
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Chang, J., Wang, Z., Yang, A. (2010). Construction of Transition Curve between Nonadjacent Cubic T-B Spline Curves. In: Zhu, R., Zhang, Y., Liu, B., Liu, C. (eds) Information Computing and Applications. ICICA 2010. Lecture Notes in Computer Science, vol 6377. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16167-4_58
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DOI: https://doi.org/10.1007/978-3-642-16167-4_58
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-16166-7
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