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Title: Uniform B-Spline curve interpolation with prescribed tangent and curvature vectors
Authors: Okaniwa, Shoichi
Nasri, Ahmad H
Lin, Hongwei
Abbas, Abdulwahed
Kineri, Yuki
Maekawa, Takashi
Affiliations: Department of Computer Science 
Keywords: Splines (mathematics)
Computational geometry
Subjects: Interpolation
Issue Date: 2011
Part of: IEEE transactions on visualization and computer graphics
Volume: 18
Issue: 9
Start page: 1474
End page: 1487
This paper presents a geometric algorithm for the generation of uniform cubic B-spline curves interpolating a sequence of data points under tangent and curvature vectors constraints. To satisfy these constraints, knot insertion is used to generate additional control points which are progressively repositioned using corresponding geometric rules. Compared to existing schemes, our approach is capable of handling plane as well as space curves, has local control, and avoids the solution of the typical linear system. The effectiveness of the proposed algorithm is illustrated through several comparative examples. Applications of the method in NC machining and shape design are also outlined.
Ezproxy URL: Link to full text
Type: Journal Article
Appears in Collections:Department of Computer Science

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