Quadratic B-spline curve interpolation

Fuhua Cheng, Xuefu Wang, B. A. Barsky

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

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 languageEnglish
Pages (from-to)39-50
Number of pages12
JournalComputers and Mathematics with Applications
Volume41
Issue number1-2
DOIs
StatePublished - 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

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