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ADCM
2007
13 years 6 months ago
2007
Motivated by the method for the reconstruction of 3D objects from a set of parallel cross sections, based on the binary operation between 2D sets termed “metric average”, we de...
ADCM
2006
13 years 6 months ago
2006
In this paper, we present a necessary and sufficient condition for the existence of solutions in a Sobolev space Wk p (Rs )(1 p ) to a vector refinement equation with a general dil...
ADCM
2005
13 years 6 months ago
2005
Radial basis functions (RBFs) have found important applications in areas such as signal processing, medical imaging, and neural networks since the early 1980's. Several appli...
ADCM
2004
13 years 6 months ago
2004
This paper considers extremal systems of points on the unit sphere Sr Rr+1, related problems of numerical integration and geometrical properties of extremal systems. Extremal sys...
ADCM
2000
13 years 5 months ago
2000
We introduce a class of polynomial frames suitable for analyzing data on the surface of the unit sphere of a Euclidean space. Our frames consist of polynomials, but are well local...