ADCM
2010
13 years 4 months ago
2010
A variant of the classical C1 Powell-Sabin-12 macro-element is defined that has the same approximation power, but has fewer degrees of freedom and only requires vertex data. The sa...
ADCM
2010
13 years 4 months ago
2010
The local reconstruction from samples is one of most desirable properties for many applications in signal processing, but it has not been given as much attention. In this paper, we...
ADCM
2010
13 years 4 months ago
2010
We present an algorithm for computation of interpolatory splines of arbitrary order at triadic rational points. The algorithm is based on triadic subdivision of splines. Explicit ...
ADCM
2010
13 years 4 months ago
2010
Sampling inequalities give a precise formulation of the fact that a differentiable function cannot attain large values, if its derivatives are bounded and if it is small on a suff...
ADCM
2010
13 years 4 months ago
2010
Let Rd be a compact convex set of positive measure. In a recent paper, we established a definiteness theory for cubature formulae of order two on . Here we study extremal propert...
ADCM
2010
13 years 4 months ago
2010
ADCM
2010
13 years 4 months ago
2010
Unimodular waveforms x are constructed on the integers with the property that the autocorrelation of x is one at the origin and zero elsewhere. There are three different constructi...
ADCM
2010
13 years 4 months ago
2010
Abstract. We present results about minimization of convex functionals defined over a finite set of vectors in a finite dimensional Hilbert space, that extend several known results ...
ADCM
2010
13 years 4 months ago
2010
It is often observed that interpolation based on translates of radial basis functions or non-radial kernels is numerically unstable due to exceedingly large condition of the kerne...