Quartic Spline Interpolation
نویسندگان
چکیده
Davis, P. J. Interpolation and approximation, Blaisdell New York 1969 Dikshit,H. P. and Rana, S. S. Cubic Interpolatory splines with non uniform Meshes J. Approx. Theory Vol 45, no4(1985) C. A. Hall and Meyer, W. W. ; Optimal error bounds for cubic spline Interpolation J. Approx. Theory, 58 (1989), 59-67. Kopotun K. A. : Univariate spline equivalence of moduli of smoothness and application . Mathematics of computation 76 (2007), 930-946. Marken, K. and Reimer's M. An unconditionally convergent Methods for computing Zero's of Splines and Polynomials. Mathematics of computation 76 (2007) 845-866. Howell, G and Varma, A. K. Best error bound for quartic spline interpolation J. Approx.
منابع مشابه
Convergence of Integro Quartic and Sextic B-Spline interpolation
In this paper, quadratic and sextic B-splines are used to construct an approximating function based on the integral values instead of the function values at the knots. This process due to the type of used B-splines (fourth order or sixth order), called integro quadratic or sextic spline interpolation. After introducing the integro quartic and sextic B-spline interpolation, their convergence is ...
متن کاملTENSION QUARTIC TRIGONOMETRIC BÉZIER CURVES PRESERVING INTERPOLATION CURVES SHAPE
In this paper simple quartic trigonometric polynomial blending functions, with a tensionparameter, are presented. These type of functions are useful for constructing trigonometricB´ezier curves and surfaces, they can be applied to construct continuous shape preservinginterpolation spline curves with shape parameters. To better visualize objects and graphics atension parameter is included. In th...
متن کاملBest Error Bounds of Quartic Spline Interpolation
In this paper, we have obtained existence, uniqueness, best error bound and convergence properties of C Deficient Quartic Spline Interpolation. Classification Code Ø 41A05, 65D07.
متن کاملGeometric Interpolation by Quartic Rational Spline Motions
We discuss piecewise rational motions with first order geometric continuity. In addition we describe an interpolation scheme generating rational spline motions of degree four matching given positions which are partially complemented by associated tangent information. As the main advantage of using geometric interpolation, it makes it possible to deal successfully with the unequal distribution o...
متن کاملAbout one algorithm of C2 interpolation using quartic splines
The problem of C interpolation of a discrete set of data on the interval [a,b] representing the function f using quartic splines is investigated. An explicit scheme of interpolation is obtained using different quartic splines on even and odd subintervals of interpolation. Mathematical Subject Classification: 41A05, 41A15
متن کامل