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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 3, Pages 144–154
(Mi timm848)
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This article is cited in 1 scientific paper (total in 1 paper)
Interpretation of contradictory images by means of systems of linear inequalities
V. D. Mazurovab, A. I. Smirnova a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University
Abstract:
We consider the problem of interpretation of three-dimensional images from their flat projections up to the set of visible faces. For projections of convex polytopes, we present an interpretation algorithm based on maximum feasible subsystems of a certain infeasible system of linear inequalities modeling the visibility requirement for faces of the polytope. A number of model examples are given; in particular, the algorithm is applied for interpretation of the Necker cube.
Keywords:
polytope, face, interpretation, linear inequalities.
Received: 03.02.2012
Citation:
V. D. Mazurov, A. I. Smirnov, “Interpretation of contradictory images by means of systems of linear inequalities”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 2012, 144–154; Proc. Steklov Inst. Math. (Suppl.), 283, suppl. 1 (2013), 100–110
Linking options:
https://www.mathnet.ru/eng/timm848 https://www.mathnet.ru/eng/timm/v18/i3/p144
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