Interpretation of contradictory images by means of systems of linear inequalities / Mazurov V. D.,Smirnov A. I. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2013. - V. 283, l. 1. - P. 100-110.

ISSN/EISSN:

0081-5438 / 1531-8605

Type:

Article

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 polyhedra, we present an interpretation algorithm based on maximal feasible subsystems of a certain infeasible system of linear inequalities modeling the visibility requirement for faces. A number of model examples are given; in particular, the algorithm is applied to the interpretation of the Necker cube.

Author keywords:

polyhedron; face; interpretation; linear inequalities

DOI:

10.1134/S0081543813090101

Web of Science ID:

ISI:000327079000010

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	DEC
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1531-8605
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	vladimir.mazurov@usu.ru sm@urep.ru
Funding-Acknowledgement	Russian Foundation for Basic Research {[}10-01-00273]; Presidium of the Ural Branch of the Russian Academy of Sciences {[}12-P-1-1016, 12-S-1-1017/1]
Funding-Text	This work was supported by the Russian Foundation for Basic Research (project no. 10-01-00273) and by the Presidium of the Ural Branch of the Russian Academy of Sciences (project nos. 12-P-1-1016, 12-S-1-1017/1).
Number-of-Cited-References	14
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	6
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	253IT