FIR Filter Banks for Hexagonal Data Processing

Images are conventionally sampled on a rectangular lattice, and they are also commonly stored as such a lattice. Thus, traditional image processing is carried out on the rectangular lattice. The hexagonal lattice was proposed more than four decades ago as an alternative method for sampling. Compared with the rectangular lattice, the hexagonal lattice has certain advantages which include that it needs less sampling points; it has better consistent connectivity and higher symmetry; and that the hexagonal structure is pertinent to the vision process. In this paper we investigate the construction of symmetric FIR hexagonal lter banks for multiresolution hexagonal image processing. We obtain block structures of FIR hexagonal lter banks with 3fold rotational symmetry and 3-fold axial symmetry. These block structures yield families of orthogonal and biorthogonal FIR hexagonal lter banks with 3-fold rotational symmetry and 3-fold axial symmetry. In this paper, we also discuss the construction ...

• Type: Journal
• Year: 2008
• Where: TIP
• Authors: Q. Jiang
• Keywords: FIR Hexagonal Lter, Hexagonal Lter Banks, Rectangular Lattice, TIP 2008