This paper concerns the construction of highly symmetric compactly supported wavelets for hexagonal data/image and triangle surface multiresolution processing. Recently hexagonal image processing has attracted attention. Compared with the conventional square lattice, the hexagonal lattice has several advantages, including that it has higher symmetry. It is desirable that the filter banks for he...

The majority of machine vision systems derive their input data by digitising an image to produce a square grid of sampled points. However, other sampling techniques can represent equal picture information in a smaller number of samples, with a consequent reduction in data rate. Several workers have looked at regular hexagonal sampling of images which produces optimum data rates for a given info...

The topology of the space of rooted oriented hexagonal knots embedded in R 3 is described, with special attention given to the number of components that make up this space and to the topological knot types which they represent. Two cases are considered: (i) hexagons with varying edge length, and (ii) equilateral hexagons with unit-length edges. The structure of these spaces then gives new notio...

This paper presents the design of an autonomous navigation system called ODYSSEUS and discusses its operation. The ODYSSEUS system consists of five main parts: ( I ) a triangle base with three programmable wheels, (2) a special digital compass based on the Grey code, (3) a sonar system in a hexagonal configuration, (4) a slope meter, and (5) a microprocessor controller that selects information ...

Three hexagonal patch antennas are designed for circular polarization and experimentally validated. These antennas are labeled; simple hexagonal patch, hexagonal patch with slotted ground and hexagonal patch with parasitic element. The measured impedance bandwidths of the three antennas are 2% for the simple patch, 5.2% for the patch with slotted ground and 6.35% for the antenna with parasitic ...