The theory of magnetic symmetry in quasicrystals, described in a companion paper [Acta Crystallographica AXX (2003) xxx-xxx], is used to enumerate all 3-dimensional octagonal spin point groups and spin space-group types, and calculate the resulting selection rules for neutron diffraction experiments. 1. Introduction We enumerate here all three-dimensional octagonal spin groups and calculate the...

The integer groups of coinvariants associated to undecorated and decorated octagonal tilings are computed.

1. The median PFS and OS numbers should be stated in the abstract and not use vague terms like ‘similar’ Response: The specific times were added.

Disparity estimation is a very important operation in stereo image and video compression. However, existing disparity estimation algorithms require too large computation power. In this paper, we propose a fast disparity estimation algorithm for mesh-based stereo image and video compression with two-stage hybrid approach, which is names as Two Stage Iterative Block and Octagonal Matching algorit...

Quadtree and pyramid structures have attracted considerable attention in recent years. They are increasingly being applied to the fields of digital image and signal processing. As a result, the efficient embedding of these structures in VLSI arrays has become an important research topic. In this paper, we propose three schemes to embed either quadtrees or pyramids in a rectangular, hexagonal, o...

The notion of vague ideals in pseudo MV-algebras is introduced,and several properties are investigated. Conditions for a vague set to be avague ideal are provided. Conditions for a vague ideal to be implicative aregiven. Characterizations of (implicative, prime) vague ideals are discussed.The smallest vague ideal containing a given vague set is established. Primeand implicative extension proper...

We study statistical properties of energy spectra of a tight-binding model on the twodimensional quasiperiodic Ammann-Beenker tiling. Taking into account the symmetries of finite approximants, we find that the underlying universal level-spacing distribution is given by the Gaussian orthogonal random matrix ensemble, and thus differs from the critical level-spacing distribution observed at the m...