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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.