• Publications
  • Influence
Multivariate interpolation of large sets of scattered data
  • R. Renka
  • Mathematics, Computer Science
  • TOMS
  • 1 June 1988
TLDR
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
Interpolatory tension splines with automatic selection of tension factors
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 withExpand
Algorithm 790: CSHEP2D: cubic Shepard method for bivariate interpolation of scattered data
  • R. Renka
  • Mathematics, Computer Science
  • TOMS
  • 1 June 1988
TLDR
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
Algorithm 792: accuracy test of ACM algorithms for interpolation of scattered data in the plane
TLDR
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
Algorithm 772: STRIPACK: Delaunay triangulation and Voronoi diagram on the surface of a sphere
  • R. Renka
  • Mathematics, Computer Science
  • TOMS
  • 1 September 1997
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 ofExpand
Gridding-based direct Fourier inversion of the three-dimensional ray transform.
TLDR
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
SNOWFLAKE HARMONICS AND COMPUTER GRAPHICS: NUMERICAL COMPUTATION OF SPECTRA ON FRACTAL DRUMS
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 (orExpand
Interpolation of data on the surface of a sphere
  • R. Renka
  • Mathematics, Computer Science
  • TOMS
  • 1 December 1984
TLDR
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
METHODS FOR NUMERICAL DIFFERENTIATION OF NOISY DATA
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. TheExpand
...
1
2
3
4
5
...