Algorithm 65. Determination of the solution of an Abel integral equation
Algorithms for cardinal interpolation using box splines and radial basis functions.
Almost curvature continuous fitting of B-spline surfaces.
Alternation for Best Spline Approximations
An algorithm based on rolling to generate smooth interpolating curves on ellipsoids
We present an algorithm to generate a smooth curve interpolating a set of data on an -dimensional ellipsoid, which is given in closed form. This is inspired by an algorithm based on a rolling and wrapping technique, described in [11] for data on a general manifold embedded in Euclidean space. Since the ellipsoid can be embedded in an Euclidean space, this algorithm can be implemented, at least theoretically. However, one of the basic steps of that algorithm consists in rolling the ellipsoid, over...
An algorithm for biparabolic spline
The paper deals with the computation of suitably chosen parameters of a biparabolic spline (ot the tensor product type) on a rectangular domain. Some possibilities of choosing such local parameters (concentrated, dispersed parameters) are discussed. The algorithms for computation of dispersed parameters (using the first derivative representation) and concentraced parameters (using the second derivative representation) are given. Both these algorithms repeatedly use the one-dimensional algorithms....
An algorithm for the approximation by cubic splines
An Algorithm for the Computation of the Exponential Spline.
An Efficient Method for Calculating Smoothing Splines Using Orthogonal Transformations.
An Elementary Algebraic Representation of Polynomial Spline Interpolants for Equidistant Lattices and its Condition.
Application of splines for determining the velocity characteristic of a medium from a vertical seismic survey
A method for solving the inverse kinematic problem of determining the velocity characteristic of a medium from a vertical seismic survey, is proposed. It is based on the combined use of the eikonal equation and spline methods of approximation for multivariable functions. The problem is solved by assuming a horizontally stratified medium; no assumptions about the number of layers and their thickness are made. First, using the data of the first arrival times of the seismic signal from several shotpoints,...
Approximate implicitization of parametric curves using cubic algebraic splines.
Approximation by circular splines for solutions of ordinary differential equations
Approximation by Cubic C1-Splines on Arbitrary Triangulations.
Approximation de contours convexes par des splines paramétrées périodiques convexes , quadratiques ou cubiques
Approximation of discontinuous curves and surfaces by discrete splines with tangent conditions.
Attenuation Factors in Multivariate Fourier Analysis.
Autoregressive error-processes, cubic splines and tridiagonal matrices
In the paper formulate for the inversion of some tridiagonal matrices are given. The results can be applied to the autoregressive processes.