3 papers
math.GM2014
Partition of unity systems and B-splines
Daniel J. Greenhoe
This paper presents the basic principles of partition of unity systems and B-splines. Analysis of these systems is performed using Fourier analysis, multi-resolution analysis, and…
math.GM2014
Properties and applications of transversal operators
Daniel J. Greenhoe
This paper presents some properties and applications of "transversal operators". Two transversal operators are presented: a "translation" operator T and a "dilation" operator D. Su…
math.GM2014
MRA-Wavelet subspace architecture for logic, probability, and symbolic sequence processing
Daniel J. Greenhoe
The linear subspaces of a multiresolution analysis (MRA) and the linear subspaces of the wavelet analysis induced by the MRA, together with the set inclusion relation, form a very…