We consider the interpolation and prediction of continuous-time second-order random processes from a finite number of randomly sampled observations using Lagrange polynomial estimators. The sampling ...

This procedure is variously known as sample-and-hold interpolation, zero-order polynomial interpolation, or selective subsampling. The effect of this approximation on signal-to-noise ratio has already ...

Lagrange formula In our earlier encounters with polynomial interpolation, we found the interpolant by solving a linear system of equations with a Vandermonde matrix. The first step was to express the ...

lagrange-polynomial-interpolation This is a personal passion project I created as a delve into Lagrange polynomials and interpolation. The program is designed for matplotlib, however notably the graph ...

We extend the definition of Morrow-Patterson nodes to include pairs of real numbers where each coordinate consists of the alternation points of a possibly different Geronimus polynomial. We give an ...

Polynomial interpolation to analytic functions can be very accurate, depending on the distribution of the interpolation nodes. However, in equispaced nodes and the like, besides being badly ...

In spline toolpath interpolation, a crucial point is solving the mapping between the spline parameter (u) and actual arc length (s) accurately, so that the toolpath is traveled without undesirable ...