## Abstract

Traditional approach in performing even-degree B-spline curve/surface interpolation would generate undesired results. In this paper, we show that the problem is with the selection of interpolation parameter values, not with even-degree B-spline curves and surfaces themselves. We prove this by providing a new approach to perform quadratic B-spline curve interpolation. This approach generates quadratic B-spline curves whose quality is comparable to that of cubic interpolating B-spline curves. This makes quadratic B-spline curves better choices than cubic B-spline curves in some applications in graphics and geometric modeling, since it is cheaper to render/subdivide a quadratic curve and it is easier to find the intersection of two quadratic curves.

Original language | English |
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Pages (from-to) | 39-50 |

Number of pages | 12 |

Journal | Computers and Mathematics with Applications |

Volume | 41 |

Issue number | 1-2 |

DOIs | |

State | Published - Jan 2001 |

### Bibliographical note

Funding Information:This work is supported by NSF Grant (DMI-9400823).

## ASJC Scopus subject areas

- Modeling and Simulation
- Computational Theory and Mathematics
- Computational Mathematics