Journal of applied mathematics & informatics

  • 제7권2호
  • /
  • Pages.517-525
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  • 2000
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

CONVEXITY CONTROL AND APPROXIMATION PROPERTIES OF INTERPOLATING CURVES

  • Qi, Duan (School of Engineering Sciences, Southampton University) ;
  • Chen, Tzer-Shyong (School of Engineering Sciences, Southampton University) ;
  • Djdjeli, K. (School of Engineering Sciences, Southampton University) ;
  • Price, W.G. (School of Engineering Sciences, Southampton University) ;
  • Twizell, E.H. (Department of Mathematical Sciences, Brunei University)
  • 발행 : 2000.05.01

⟨ 이전 논문 다음 논문 ⟩

초록

A constrained rational cubic spline with linear denominator was constructed in [1]. In the present paper, the sufficient condition for convex interpolation and some properties in error estimation are given.

키워드

참고문헌

  1. Korean J of Comput and Appl Math v.6 Constrained Interpolation Using Rational Cubic Spline Curve with Linear Denominators Qi Duan;Gongxue Xu;Aikui Liu;Xuefu Wang;Fuhua (Frank) Cheng
  2. Ph.D thesis The Beta-spline: A local Representation Based on Shape Parameters and Fundamental Geometric Measure B.A.Narsky
  3. Comp. Aided Geom. Design v.6 Generating the Bezier Points of β-spline curve. P.Dierck;B.Tytgat
  4. Comp. Aided Geom. Design v.3 Local Control of Interval Tension Using Weighted Splines. T.A.Foley
  5. IEEE comp. Graph. Appl. v.6 Rectangular ν-splines. G.M.Nielson
  6. Computing v.38 Positive Interpolation with Rational Quadratic Spline J.W. Schmidt;W.Hess
  7. Comp. & Graph. v.18 Interactive Curve Design Using C² Rational Splines J.A. Gregory;M. Sarfraz;P.K. Yuen
  8. Comp. & Graph. v.18 Generalized Geometric Interpolation for Rational Cubic Splines M.Sarfraz
  9. Computers & Structures v.43 Inversed Rational B-Spline for Interpolation S.T.Tan;C.K.Lee
  10. Comp. Aided Geom. Design v.9 Monotone Linear Rational Spline Interpolation R.D.Fuhr;M.Kallay
  11. Comp. & Graph. v.22 Rational Cubic Spline Based on Function Values Qi Duan;K. Djideli;W.G. Price;E.H. Twizell
  12. J. of Computational and Applied Mathematics, to appear Weighted Rational Cubic spline Interpolation and its Approximation Qi Duan;K. Djideli;W.G. Price;E.H. Twizell
  13. Korean J. of Comput. and Appl. Math. v.6 Shape Control of Curve Design by Weighted Ratinal Splines Qi Duan;Botang Li;K.Djidjeli;W.G.Price;E.H.Twizell