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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 3, Pages 144–154 (Mi timm848)  
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
Full-text PDF (184 kB) Citations (1)
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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
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2013, Volume 283, Issue 1, Pages 100–110
DOI: https://doi.org/10.1134/S0081543813090101
Bibliographic databases:
Document Type: Article
UDC: 519.95
Language: Russian
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
Citation in format AMSBIB
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\paper Interpretation of contradictory images by means of systems of linear inequalities
\serial Trudy Inst. Mat. i Mekh. UrO RAN
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\vol 18
\issue 3
\pages 144--154
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\jour Proc. Steklov Inst. Math. (Suppl.)
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\vol 283
\issue , suppl. 1
\pages 100--110
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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