Abstract
An algorithm for the construction of a non-uniform cubic B-spline curve that interpolates a set of 2D data { D i } is presented. Each D i is either a point or a region. If D i is a point, the curve interpolates it. Otherwise, the curve passes through the region specified by D i The curve is constructed based on minimizing the energy of each of its components. The parametric knots of the curve are parametrized using the centripetal model. These processes facilitate the geometric smoothness and fairness of the curve. The new technique allows a user to design a curve with more flexibility and fewer trial-and-error iterations than conventional approach. This work is a continuation of the paper “Interproximation: Interpolation and Approximation Using Cubic Spline Curves” published in 1991.
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© 1993 Springer-Verlag Berlin Heidelberg
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Cheng, F., Barsky, B.A. (1993). Interproximation using Cubic B-Spline Curves. In: Falcidieno, B., Kunii, T.L. (eds) Modeling in Computer Graphics. IFIP Series on Computer Graphics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78114-8_22
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DOI: https://doi.org/10.1007/978-3-642-78114-8_22
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