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Generating 3D multiview exact polyhedron representation by scanning faces surroundings

Mokrzycki W. S., Salamonczyk A.

Machine Graphics and Vision

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2006

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Vol. 15, No. 3/4

525-536

EN

This article presents 3D multiview exact models that are complete representations of a polyhedron obtained by the means of the faces surroundings scanning algorithm. The algorithm uses the viewing sphere and the perspective projection concepts (known as the K-M view space model). Such models will be used for visual identification based on them and a scene depth map. We develop the concept and give an algorithm for face-dependent generation of 3D exact views polyhedron representation.

2

3W modele widokowe niewypukłych wielościanów na sferze widokowej z perspektywą

Mokrzycki W. S.

Prace Instytutu Podstaw Informatyki Polskiej Akademii Nauk

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2003

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Nr 962

1-11

PL

Opracowanie dotyczy generowania 3W widokowych modeli (zwanych w literaturze modelami 2 ? W) niewypukłych wielościanów wg koncepcji sfery widokowej z rzutowaniem perspektywicznym, będących kompletną reprezentacją tego wielościanu. Modele są przewidziane do systemów identyfikacji wizualnej opartej o nie i mapy głębi sceny. W szczególności, jest opisana nowa koncepcja oraz podany jest algorytm ściano-zależnego generowania widoków wielościanowych i nie wymaga wykonywania dodatkowych czynności ani wprowadzania pomocniczych mechanizmów (np. w postaci tzw. obszarów 1-widokowych) i związanych z nimi długotrwałych obliczeń, jak to występuje w literaturowych metodach.

EN

The elaboration concerns the generation of the $3D$ view models (known in literature as $2\frac{1}{2}D$) nonconvex polyhedron using the concept of the view sphere with perspective projection and forms the complet representation of the polyhedron. The models are destined for visual identification system based on the models and object deep map. In peculiarity, the new concept and algorithm of face-dependent generation of the polyherdon views, which do not need any additional acting or mechanizms (e.g. single-view areas), and time-consuming calculations, are described.

3

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

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2003

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Vol. 12, No. 4

435-452

EN

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.

4

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

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2003

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Vol. 12, No. 4

409-433

EN

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.