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Zbl 0916.68156
Lim, Choong-Gyoo
A universal parametrization in B-spline curve and surface interpolation. (English)
[J] Comput. Aided Geom. Des. 16, No.5, 407-422 (1999). ISSN 0167-8396

Summary: We propose here a new universal parametrization for B-spline interpolation. The new parametrization is based on the values $t_{i}$ where B-splines $N_{i,k}(t)$ are maximum in case of order $k$. The resulting interpolation curve $X(t)$ is transformation invariant and more natural looking, in general, than those obtained by other methods. Using a fixed knot vector, $t_{i}$'s are independent of interpolating points $\{P_{i}\}$, and hence the computation of $X(t)$ can be done more efficiently. In addition, the new method works well in any order $k$.

MSC 2000:: *68U05 Computational geometry, etc.
41A05 Interpolation
41A15 Spline approximation

Keywords: B-spline; interpolation; parametrization; knot vector selection; affine invariant; fransformation invariant

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