Lattices modeling as support for multigrid and multirate processing of two-dimensional signals
Maria d. G. de Almeida · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2004
Recently, new image processing techniques have been researched for application in many areas, such as biomedical, telecommunications, multimedia, remote sensing and optics. Multigrid and multirate processing of two-dimensional (2D) signals can be used in order to get a basis and consistent theory. Since it involves many types of lattices due to different grids geometry, they can be used as support of a consistent multirate processing theory for image applications. In this work, the concepts of lattice theory are used to make the rectangular, quincunx and hexagonal grid types modeling. The multirate processing of 2D signals involves also downsampling and upsampling and various types of sampling matrices and their formation are analyzed and grid types determined by them are shown.