3D-orientation space; filters and sampling

Abstract

The orientation space transform is a concept that can deal with multiple oriented structures at a single location. In this paper we extend the orientation space transform to 3D images producing a 5D orientation space (x, y, z, φ, θ). We employ a tunable, orientation selective quadrature filter to detect edges and planes and a separate filter for detecting lines. We propose a multi-resolution sampling grid based on the icosahedron. We also propose a method to visualize the resulting 5D space. The method can be used in many applications like (parametric) curve and plane extraction, texture characterization and curvature estimation. © Springer-Verlag 2003.