Free curve interpolation using clothoidal curve.

Curve Fitting With Clothoidal Splines

Clothoids, i.e. curves Z(s) in RI whoem curvatures xes) are linear fitting functions of arclength ., have been nued for some time for curve fitting purposes in engineering applications. The first part of the paper deals with some basic interpolation problems for lothoids and studies the existence and uniqueness of their solutions. The second part discusses curve fitting problems for clothoidal ...

Shape-preserving curve interpolation

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Parameterization for curve interpolation

A common task in geometric modelling is to interpolate a sequence of points or derivatives, sampled from a curve, with a parametric polynomial or spline curve. To do this we must first choose parameter values corresponding to the interpolation points. The important issue of how this choice affects the accuracy of the approximation is the focus of this paper. The underlying principle is that ful...

Curve Interpolation and Coding Theory

Matrix and Curve Mesh Interpolation

Applications of mathematics and statistics often require fitting a smooth approximating function to a finite set of data points, or interpolating the data points by fitting the points exactly. In the event that interpolation of a grid of points is required, we recently proposed a method (which we call the SVD method[10]) for creating a function of two variables which interpolates the points. Wh...