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**A class of general quartic spline curves with shape parameters.**
*(English)*
Zbl 1221.65040

A general method to generate quartic splines with a non-uniform knot vector from four consecutive subintervals (i.e., four control points) are presented. The splines have \(C^{2}\) continuity at simple knots and include the cubic non-unifrom B-spline as a special case. Piecewise quartic spline curves with three local parameters based on the given splines, which have \(C^2 \cap G^3\) continuity, are presented. The spline curves can be used as interpolate sets of \(C^2\) continuous points without solving a linear system. The effects of local adjustments via three shape parameters on the shape of the quartic spline curves are illustrated.

Reviewer: Jong Hyuk Park (Ulsan)

### MSC:

65D07 | Numerical computation using splines |

41A15 | Spline approximation |

65D17 | Computer-aided design (modeling of curves and surfaces) |

65D05 | Numerical interpolation |

### Keywords:

general quartic splines; cubic B-splines; interpolate sets; local adjustments; B-spline curve; interpolation curve; geometric continuity
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\textit{X. Han}, Comput. Aided Geom. Des. 28, No. 3, 151--163 (2011; Zbl 1221.65040)

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### References:

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