Add to ORKGThis dissertation gives explicit algorithms for constructing multiple types of high dimen-sional 1D splines (standard and exponential A-splines, standard and exponential C-splines), and generating L2-orthogonal bases for various families of splines (via the standard and ex- ponential A-spline procedures). These orthogonal bases of spline functions are used in L2 approximation of functions by way of orthogonal projection, and relevant error bounds for these approximations are given in L 2 and L ∞ . The 1D spline approximation procedures developed here are used in construction of tensor product approximations of multivariate functions. Computational examples are provided
We discuss spline refinement methods that approximate multi-valued data defined over one, two, and t...
summary:The paper contains short description of $\Sigma\Pi$-algorithm for the approximation of the f...
We present a method for the hierarchical approximation of functions in one, two, or three variables ...
This dissertation gives explicit algorithms for constructing multiple types of high dimen-sional 1D ...
For orthogonal cardinal spline approximation, a closed form expression of the Peano kernels in terms...
Approximation of a smooth function f on a rectangular domain Ω⊂El by a tensor product of splines of ...
A succinct introduction to splines, explaining how and why B-splines are used as a basis and how cub...
This chapter presents an overview of polynomial spline theory, with special emphasis on the B-spline...
The aim of this thesis is to develop an algorithm for solving the best approximation problem in the ...
In a series of three articles, spline approximation is presented from a geodetic point of view. In p...
AbstractPruess [12, 14] has shown that exponential splines can produce co-convex and co-monotone int...
We discuss spline refinement methods that approximate multi-valued data defined over one, two, and t...
This survey gives an overview of several fundamental algebraic constructions which arise in the stud...
Least squares polynomial splines are an effective tool for data fitting, but they may fail to preser...
We discuss spline refinement methods that approximate multi-valued data defined over one, two, and t...
We discuss spline refinement methods that approximate multi-valued data defined over one, two, and t...
summary:The paper contains short description of $\Sigma\Pi$-algorithm for the approximation of the f...
We present a method for the hierarchical approximation of functions in one, two, or three variables ...
This dissertation gives explicit algorithms for constructing multiple types of high dimen-sional 1D ...
For orthogonal cardinal spline approximation, a closed form expression of the Peano kernels in terms...
Approximation of a smooth function f on a rectangular domain Ω⊂El by a tensor product of splines of ...
A succinct introduction to splines, explaining how and why B-splines are used as a basis and how cub...
This chapter presents an overview of polynomial spline theory, with special emphasis on the B-spline...
The aim of this thesis is to develop an algorithm for solving the best approximation problem in the ...
In a series of three articles, spline approximation is presented from a geodetic point of view. In p...
AbstractPruess [12, 14] has shown that exponential splines can produce co-convex and co-monotone int...
We discuss spline refinement methods that approximate multi-valued data defined over one, two, and t...
This survey gives an overview of several fundamental algebraic constructions which arise in the stud...
Least squares polynomial splines are an effective tool for data fitting, but they may fail to preser...
We discuss spline refinement methods that approximate multi-valued data defined over one, two, and t...
We discuss spline refinement methods that approximate multi-valued data defined over one, two, and t...
summary:The paper contains short description of $\Sigma\Pi$-algorithm for the approximation of the f...
We present a method for the hierarchical approximation of functions in one, two, or three variables ...