Methods for generating 3D exact views of convex polyhedra for visual indentification: part I: view sphere with perspective projection and iterative methods
Monika Kowalczyk, Wojciech S. Mokrzycki · Machine Graphics & Vision International Journal archive · 2003
The paper studies the methods of generating 3D exact multiview models of convex polyhedra for visual identification systems. In particular, an original view space concept (a view sphere with perspective projection) and the representation completeness controlling concept (a view sphere covering by single-view areas) as well as two groups of methods: iterative (part I of the paper) and noniterative ones (part II) are characterized. A set of views generated by each method forms a complete view representation which is verified by controlling the view sphere covering by the so called single-view areas). The perspective projection used for calculating the views, the complete, tight covering of the view sphere by the single-view areas and 3-dimensionality of the views ensure unambiguous and proper identification of polyhedral objects.Part I of our study presents the view sphere with perspective projection concept, the view sphere covering by the single-view areas mechanism, and the iterative methods generating feature-dependent views and reaching a complete view set through-an iterative process of views generation.