A new parametrization technique and its applications for general Catmull-Clark subdivision surfaces are presented. The new technique extends J. Stam’s work by redefining all the eigen basis functions in the parametric representation for general Catmull-Clark subdivision surfaces and giving each of them an explicit form. Therefore, the new representation can be used not only for evaluation purpo...

The Eigen-FLS approach using an eigenspace-based scheme for fast fuzzy logic system (FLS) establishments has been attempted successfully in speech pattern recognition. However, speech pattern recognition by Eigen-FLS will still encounter a dissatisfactory recognition performance when the collected data for eigen value calculations of the FLS eigenspace is scarce. To tackle this issue, this pape...

Throughout this paper the asymptotic approximations for eigen- functions of eigenvalue problems associated with Hill’s equation satisfying periodic and semi-periodic boundary conditions are derived when potential is symmetric double well. These used to determine Green’s related problems. Then, obtained results adapted Whittaker-Hill which has well widely investigated in literature.

Context. The knowledge of the point-spread function compensated by adaptive optics is of prime importance in several image restoration techniques such as deconvolution and astrometric/photometric algorithms. Wavefront-related data from the adaptive optics realtime computer can be used to accurately estimate the point-spread function in adaptive optics observations. The only point-spread functio...

A new parametrization technique and its applications for general Catmull-Clark subdivision surfaces are presented. The new technique extends J. Stam's work by redefining all the eigen basis functions in the parametric representation for general Catmull-Clark subdivision surfaces and giving each of them an explicit form. The entire eigenstructure of the subdivision matrix and its inverse are com...

The "Eigen cation", H3O+(H2O)3, is the most prevalent protonated water structure in the liquid phase and the most stable gas-phase isomer of the H+(H2O)4 cluster. Nevertheless, its 50 K argon predissociation vibrational spectrum contains unexplainable low frequency peak(s). We have simulated the IR spectra of 10 gas-phase H+(H2O)4 isomers, that include zero to three argon ligands, using dipole ...

The rectangular microwave resonator filed by a ferrite with uniaxial magnetic anisotropy is considered. It is shown that this task can be reduced to an empty rhombus resonator with vertex angle defined by external magnetic field provided the magnetic anisotropy of the ferrite is strong. Therefore statistics of eigen frequencies for TM modes is described by the Brody or semi-Poisson distribution...

Noise in environments can cause mutation in genetic materials of biological systems. In this paper, I first introduce some molecular models of biological evolution, including Eigen model with connected mutation-selection scheme and Crow-Kimura (CK) model with parallel mutationselection scheme. Baake et al. mapped the CK model into a quantum spin model. Recently, Saakian and I did the similar ma...

Spectrum sensing is a fundamental component in cognitive radio. New sensing methods are proposed based on the principal component values of the received signal at the secondary users. In particular, two sensing algorithms are suggested, one of the algorithm is based on the ratio of the principal component’s maximum eigen value to principal component’s minimum eigen value called as Maximum Minim...