Reducing volume and shape errors in front tracking by divergence-preserving velocity interpolation and parabolic fit vertex positioning

TENSION 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...

Shape-preserving curve interpolation

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Shape-preserving interpolation by G1 and G2 PH quintic splines

The interpolation of a planar sequence of points p0, . . . , pN by shape-preserving G 1 or G2 PH quintic splines with specified end conditions is considered. The shape-preservation property is secured by adjusting ‘tension’ parameters that arise upon relaxing parametric continuity to geometric continuity. In the G2 case, the PH spline construction is based on applying Newton–Raphson iterations ...

Shape Preserving C Spline Interpolation

In this paper we summarize the main results of where an algo rithm of shape preserving C spline interpolation for arbitrary D discrete data is developed We consider a classi cation of such data to separate the sec tions of linearity the angles and the breaks For remaining data we give a local algorithm of C interpolation by generalized splines with automatic choice of the parameters to retain t...

Shape-preserving Interpolation in Ir 3