Showing papers on "Monotone cubic interpolation published in 1970"

Computation of the Divergence Coefficient for Seismic Phases

Abstract: : By using a cubic spline interpolation method a representation of seismological travel time tables is achieved which is highly continuous. Divergence coefficients for seismic phases computed from this representation are free from non-essential discontinuities and are thus more meaningful than those obtained using other methods of interpolation. Results are compared with those obtained by others. For six phases results are given in graphs and tables. (Author)

The Smoothing of Seismological Travel-Time Tables Using Cubic Splines,

Abstract: : The use of cubic spline functions for the smoothing of seismological travel-times data is suggested. This smoothing method is compared with other methods used for that purpose. The final stages of the production of the Herrin P-Tables are critically examined, and the use of cubic spline functions for their smoothing is shown to improve the resulting table. (Author)

A Random Number Generator for Continuous Random Variables Based on an Interpolation Procedure of Akima

Abstract: : A Fortran-IV subroutine is given which may be used to generate random observations of a continuous random variable from a table of discrete observations. This subroutine employs Akima's algorithm for cubic spline interpolation. The compatibility of problem and algorithm is such that this simple routine gives very good results. (Author)

Rational cubics and conics representation: a practical approach

Abstract: A rational cubic spline, with one family of shape parameters, has been discussed with the view to its application in Computer Graphics. It incorporates both conic sections and parametric cubic curves as special cases. The parameters (weights), in the description of the spline curve can be used to modify the shape of the curve, locally and globally, at the knot intervals. The rational cubic spline attains parametric smoothness whereas the stitching of the conic segments preserves visually reasonable smoothness at the neighboring knots. The curve scheme is interpolatory and can plot parabolic, hyperbolic, elliptic, and circular splines independently as well as bits and pieces of a rational cubic spline. Key Words : Computer Graphics, Interpolation, Spline, Conic, Rational Cubic

Problem in the theory of cubic residues

Abstract: Some arithmetic relations for cubic Gaussian sums are investigated. A computational method for studying these relations is proposed.

The possibility of periodic spline interpolation

Abstract: A new case of the solvability of the classical interpolation problem for periodic splines is described.

On natural cubic splines, with an application to numerical integration formulae

Abstract: • A submitted manuscript is the version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website. • The final author version and the galley proof are versions of the publication after peer review. • The final published version features the final layout of the paper including the volume, issue and page numbers.