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Methods for generating 3D exact views of convex polyhedra for visual identification. Part 2, Non-interative methods, implementation and test results

Kowalczyk M., Mokrzycki W.

Machine Graphics and Vision

2003

Vol. 12, No. 4

435-452

This paper is the second part of our study describing methods for obtaining a 3D multiview exact and complete model of convex polyhedra used for visual identification. Non-iterative methods, like the iterative ones, explore the concept of the view sphere with perspective projection and the view sphere covering as a mechanism for representation completeness. The non-iterative methods consist in calculating a view, determining the corresponding single-view area (the so-called seedling single-view area) and then searching for the neighbouring single-view areas (generating the views at the same time) in a spiral way until the whole view sphere is covered by the latter. Having a complete set of the single-view areas (complete view sphere covering), we get a complete set of views as well. Test results and computational complexity estimation are also included.

Methods for generating 3D exact views of convex polyhedra for visual identification. Part 1, View sphere with perspective projection and interative methods

Kowalczyk M., Mokrzycki W.

Machine Graphics and Vision

2003

Vol. 12, No. 4

409-433

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 non-iterative 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.