2010 | OriginalPaper | Chapter
Construction of Transition Curve between Nonadjacent Cubic T-B Spline Curves
Authors : Jincai Chang, Zhao Wang, Aimin Yang
Published in: Information Computing and Applications
Publisher: Springer Berlin Heidelberg
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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.