Novel algorithm for generating basis convex hexagonal polygons and polyhedrons

Abstract

Geometric Filters (G-Filters) are efficient shape filters than morphological filters. In this paper, the Algorithms for constructing basis hexagonal polygons and polyhedrons are developed. The development process involves 2 Algorithms. The 1st Algorithm describes process of constructing 18 convex polygons and 324 convex polyhedrons. The 2nd one describes way of constructing the 5 Basis convex hexagonal polygons and 25 basis convex polyhedrons. This polygons and polyhedrons are used as masks for processing 2D or 3D hexagonal images captured with hexagonal camera or hexagonalized images which are captured by using rectangular camera. Instead of using this 18 polygons and 324 polyhedrons one can use this 5 basis polygons and 25 basis polyhedrons for processing.