In recent years, new and more effective procedures for applying collocation have been published. This article is devoted to present a revision of this subject and complement its developments. From the general theory two broad approaches are derived, which yield the direct and the indirect TH-collocation methods. The former approach had not been published before, and it is a dual of the indirect...

Some inequalities for the lower bound of the number of constraints in an orthogonal array of strength two are derived. A method of constructing balanced incomplete block designs is given which depends upon the existence of two such designs with the same block size. A large number of these designs with k c 4,5 and ~l are also given. Qualified requestors may obtain copies of this report from the ...

Background Magnetic resonance imaging (MRI) is a highly advanced and sophisticated imaging modality for cardiac motion assessment and quantitative analysis. The myocardial tagging techniques have seen wide applications for cardiac deformation analysis (see [1-4] for example). Among different image post-processing techniques, frequency-based methods have played an important role in analysis of h...

In this paper a method is presented that parameterizes orthogonal wavelet transforms with respect to their properties (i.e. compact support, vanishing moments, regularity , symmetry) and also takes into considerations a simple implementation of the transform. The parameter space is given by the rotation angles of the orthogonal 2 2 rotations used in the lattice lters that realize the diierent s...