CONSTRAINED INTERPOLATION USING RATONAL CUBIC SPLINE WITH LINEAR DENOMINATORS

  • Duan, Qi (Department of Applied Mathematics Shandong University of Technology) ;
  • Xu, Gongxue (Department of Applied Mathematics Shandong University of Technology) ;
  • Liu, Aikui (Department of Applied Mathematics Shandong University of Technology) ;
  • Wang, Xuefu (Department of Computer University of Kentucky) ;
  • Cheng, Fuhua (Department of Computer University of Kentucky)
  • Published : 1999.03.01

Abstract

In this paper a rational cubic interpolant spline with linear denominator has been constructed and it is used to constrain interpolation curves to be bounded in the given region. Necessary and sufficient conditions for the interpolant to satisfy the constraint have been developed. The existence conditions are computationally efficient and easy to apply. Finally the approximation properties have been studied.

Keywords

References

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