Smooth, easy to compute interpolating splines

Smooth, Easy to Computer Interpolating Splines

We present a system of interpolating splines with first and approximate second order geometric continuity. The curves are easily computed in linear time by solving a system of linear equations without the need to resort to any kind of successive approximation scheme. Emphasis is placed on the need to find aesthetically pleasing curves in a wide range of circumstances; favorable results are obta...

Geodesic Interpolating Splines

We propose a simple and eecient method to interpolate landmark matching by a non-ambiguous mapping (a diieomorphism). This method is based on spline interpolation, and on recent techniques developed for the estimation of ows of diieomorphisms. Experimental results show interpolations of remarkable quality. Moreover, the method provides a Riemannian distance on sets of landmarks (with xed car-di...

IF Approximation of Fourier Transforms and Certain Interpolating Splines

We extend to iP, X g p < °°, the L2 results of Bramble and Hilbert on convergence of discrete Fourier transforms and on approximation using smooth splines. The main tools are the estimates of [ 1 ] for linear functionals on Sobolev spaces and elementary results on Fourier multipliers.

On Mixed Interpolating-Smoothing Splines and the &nu;-Spline

Construction ofC2 Pythagorean-hodograph interpolating splines by the homotopy method