Chipman pseudoinverse of matrix, its computation and application in spline theory
Compactly Supported Fundamental Functions for Spline Interpolation.
Comparison Theorems for L-Monosplines of Minimal Norm.
Complete Spline Smoothing.
Conditions for regular -spline curves and surfaces
Construction of ECT-B-splines, a survey.
Construction of surface spline interpolants of scattered data over finite domains
Constructive function theory and spline systems
Convergence of approximate splines via pseudo-inverses
Cubic splines with minimal norm
Natural cubic interpolatory splines are known to have a minimal -norm of its second derivative on the (or class of interpolants. We consider cubic splines which minimize some other norms (or functionals) on the class of interpolatory cubic splines only. The cases of classical cubic splines with defect one (interpolation of function values) and of Hermite splines (interpolation of function values and first derivatives) with spline knots different from the points of interpolation are discussed....
Data compression with -approximations based on splines
The paper contains short description of -algorithm for the approximation of the function with two independent variables by the sum of products of one-dimensional functions. Some realizations of this algorithm based on the continuous and discrete splines are presented here. Few examples concerning with compression in the solving of approximation problems and colour image processing are described and discussed.
Degree of Best Approximation by Trigonometric Blending Functions.
Density in approximation theory.
Design of an adaptive controller of LQG type: spline-based approach
The paper presents an alternative approach to the design of a hybrid adaptive controller of Linear Quadratic Gaussian (LQG) type for linear stochastic controlled system. The approach is based on the combination standard building blocks of discrete LQG adaptive controller with the non-standard technique of modelling of a controlled system and spline approximation of involved signals. The method could be of interest for control of systems with complex models, in particular distributed parameter systems....
Die Eindeutigkeit L2-optimaler Polynomialer Monosplines.
Discrete Cubic Spline Interpolation
Discrete L-Splines.
Discrete quadratic splines.
Discrete smoothing splines and digital filtration. Theory and applications
Two universally applicable smoothing operations adjustable to meet the specific properties of the given smoothing problem are widely used: 1. Smoothing splines and 2. Smoothing digital convolution filters. The first operation is related to the data vector with respect to the operations , and to the smoothing parameter . The resulting function is denoted by . The measured sample is defined on an equally spaced mesh