Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

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

⟨ Previous Next ⟩

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

  1. Computer Aided Geometric Design v.1 A survey of curve and surface methods W.Boehm;G.Farin;J.Kahamann
  2. IEEE Computer Graphics and Automation CAGD's Top Ten: What to Watch G.M.Nielson
  3. IEEE Computer Graphics and application v.11 no.5 On NURBS:A Survey L.Piegl
  4. Ph. D. thesis, University of Utah The Beta-spline : A local Representation Based on Shape Parameters and fundamental Geometric Measure B.A.Narsky
  5. Comp. Aided Geom. Design v.6 Generating the Bezier points of β-spline curve P.Dierck;B.Tytgat
  6. Comp. Aided Geom. Design v.3 Local Control of Interval Tension Using Weighted Splines T.A.Foley
  7. IEEE comp.Graph. Appl. v.6 Rectangular v-splines G.M.Nielson
  8. Comp & Graph v.16 no.4 Interpolatory Rational Cubic Spline with Biased, Point and Interval Tension M.Sarfraz
  9. Comp & Graph v.18 no.2 Interactive curve design using C² rational splines J.A.Gregory;M.Sarfraz;P.K.Yuen
  10. Comp & Graph v.22 no.4 Rational Cubic Spline Based on Function Values Q.Duan;K.Djidjeli;W.G.Price;E.H.Twizell
  11. BIT v.28 Positivity of cubic polynomials on intervals and positive spline interpolation J.W.Schmidt;W.Hess