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A C 2 rational quadratic trigonometric spline interpolation has been studied using two kinds of rational quadratic trigonometric splines. It is shown that under some natural conditions the solution of the problem exists and is unique. The necessary and sufficient condition that constrain the interpolant curves to be convex in the interpolating interval or… (More)

- MRIDULA DUBE, REENU SHARMA
- 2013

Analogous to the cubic Bézier curve, a quartic trigonometric Bézier curve with a shape parameter is presented in this paper. Each curve segment is generated by four consecutive control points. The shape of the curve can be adjusted by altering the values of shape parameters while the control polygon is kept unchanged. These curves are closer to the control… (More)

- Mridula Dube, Bharti Yadav
- 2014

In this paper, we have constructed a quintic trigonometric Bézier curve with single shape parameter. The shape of the curve can be adjusted as desired, by simply altering the value of shape parameter, without changing the control polygon. The quintic trigonometric Bézier curve can be made close to the cubic Bézier curve or closer to the given control… (More)

- S S Rana, Mridula Dube, +5 authors Ma-YiChen Huang
- 2013

In the present paper a new method is developed for smooth rational cubic trigonometric interpolation based on values of function which is being interpolated. This rational cubic trigonometric spline is used to constrain the shape of the interpolant such as to force it to be in the given region by selecting suitable parameters. The more important achievement… (More)

- Mridula Dube, Reenu Sharma
- Int. J. Image Graphics
- 2012

The aim of this paper presents an analysis of weighted quadratic trigonometric spline with two shape parameters which interpolate on function value. This interpolating is C 1 continuous with quadratic denominator. Constrain control of this rational quadratic trigonometric spline is derived which force it be bound in the given region. Approximation property… (More)

- M Dube, India P S Rana
- 2013

A weighted rational cubic spline interpolation has been constructed using rational spline with quadratic denominator. GC 1-piecewise rational cubic spline function involving parameters has been constructed which produces a monotonic interpolant to given mono-tonic data. The degree of smoothness of this spline is GC 2 in the interpolating interval when the… (More)

- Mridula Dube
- 2015

I. Introduction Rational spline is a commonly used spline function. In many cases the rational spline curves better approximating functions than the usual spline functions. It has been observed that many simple shapes including conic section and quadric surfaces can not be represented exactly by piecewise polynomials, whereas rational polynomials can… (More)

In this paper a rational cubic algebraic spline with two shape parameters is developed to create a high-order smoothness interpolation using function values and derivative values which are being interpolated. This is a kind of rational cubic interpolation with quadratic denominator. This rational spline interpolant is monotonic interpolant to given… (More)

- Mridula Dube
- 2014

A quintic trigonometric Bèzier curve with two shape parameters, is presented in this work. The shape of the curve can be adjusted as desired, by simply altering the value of shape parameter, without changing the control polygon. The quintic trigonometric Bèzier curve can be made close to the quintic Bèzier curve or closer to the given control polygon than… (More)