A survey of curve and surface methods in CAGD
Computer Aided Geometric Design
On the numerical condition of polynomials in Berstein form
Computer Aided Geometric Design
Multivariable Curve Interpolation
Journal of the ACM (JACM)
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
q-Bernstein polynomials and Bézier curves
Journal of Computational and Applied Mathematics
A novel generalization of Bézier curve and surface
Journal of Computational and Applied Mathematics
Computer Aided Geometric Design
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The aim of this paper is to introduce an approach for obtaining spline Bézier curves of G1 class. Our approach generalizes F-Mill interpolation method and depends on two parameters which influence the curve properties. The method allows modifications of the shape of the curves without changing the interpolation points and the direction of the tangents in this points. We implemented the proposed interpolation scheme using MATLAB and analyzed the shape modifications depending of the parameters values.