title: Uniform B-Spline Curve Interpolation with Prescribed Tangent and Curvature Vectors.
abstract: 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.
authors.forename: Shoichi
authors.initials: S
authors.lastname: Okaniwa
authors.forename: Ahmad
authors.initials: A
authors.lastname: Nasri
authors.forename: Hongwei
authors.initials: H
authors.lastname: Lin
authors.forename: Abdulwahed
authors.initials: A
authors.lastname: Abbas
authors.forename: Yuki
authors.initials: Y
authors.lastname: Kineri
authors.forename: Takashi
authors.initials: T
authors.lastname: Maekawa