A rational cubic spline curve is described which has tension control parameters for manipulating the shape of the curve. The spline is presented in both interpolatory and rational B-spline forms, and the behaviour of the resulting representations is analysed with respect to variation of the control parameters

Gregory, JA

Sarfraz, M

English

Brunel University Research Archive

A locally controllable spline with tension for interactive curve design,

Alternatives to the exponential spline in tension,

An interpolation curve using splines in tension,

Blending function methods of bivariate and multivariate interpolation and approximation,

Curve fitting in one and two dimensions using splines under tension,

Inverses of band matrices and local convergence of spline projections,

Local control of bias and tension in beta-splines,

Properties of splines in tension,

Rational geometric splines,

rational quadratic spline interpolation to monotonic data,

Rectangular v-splines.

Shape preserving interpolation by parametric rational cubic splines,

Shape preserving piecewise rational interpolation,

Shape preserving representations,

Shape preserving spline interpolation,

Some piecewise polynomial alternatives to splines under tension,

Spezielle rationale Splinefunktionen,

Spline Algorithms for Curves and Surfaces, Utilitas Mathematica Pub.

A rational cubic spline with tension

A rational cubic spline with tension

Abstract

Similar works

Full text

Available Versions

Brunel University Research Archive