Construction of transition curve between nonadjacent cubic T-B spline curves

  • Authors:

  • Jincai Chang;Zhao Wang;Aimin Yang

  • Affiliations:

  • College of Science, Hebei Polytechnic University, Tangshan, Hebei, China and Shanghai Key Laboratory for Contemporary Applied Mathematics, Shanghai, China;College of Science, Hebei Polytechnic University, Tangshan, Hebei, China;College of Science, Hebei Polytechnic University, Tangshan, Hebei, China

  • Venue:
  • ICICA'10 Proceedings of the First international conference on Information computing and applications
  • Year:
  • 2010

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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.