A modified Shepard's method for fitting a surface to data values at scattered points in the plane is described that has accuracy comparable to other local methods and computational efficiency is improved by using a cell method for nearest-neighbor searching.Expand

A powerful and versatile method of shape-preserving interpolation is developed in terms of piecewise exponential functions with a tension factor associated with each interval. Knots coincide with… Expand

A new algorithm for scattered data interpolation is described that achieves cubic precision and continuity at very little additional cost and is among the most accurate available.Expand

The purpose is to guide potential users in the selection of an appropriate algorithm and to provide a test suite for assessing the accuracy of new methods (or existing methods that are not included in this survey).Expand

STRIPACK is a Fortran 77 software package that employs an incremental algorithm to construct a Delaunay triangulation and, optionally, a Voronoi diagram of a set of points (nodes) on the surface of… Expand

A fast and accurate direct Fourier method for reconstructing a function f of three variables from a number of its parallel beam projections in single particle analysis, where the goal is to reconstruct the mass density of a biological macromolecule.Expand

In this work, we study the steady-states vibrations of the “Koch snowflake drum”, both numerically and by means of computer graphics. In particular, we approximate the smallest 50 eigenvalues (or… Expand

Methods and software that extend the C ~ interpolant of data values associated with arbitrarily distributed nodes on the surface of a sphere method are described and test results are presented.Expand

We describe several methods for the numerical approximation of a first derivative of a smooth real-valued univariate function for which only discrete noise-contaminated data values are given. The… Expand