KFU. Card publication. The Minkowski Difference for Convex Polyhedra and Some its Applications

KAZAN
FEDERAL UNIVERSITY

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THE MINKOWSKI DIFFERENCE FOR CONVEX POLYHEDRA AND SOME ITS APPLICATIONS

Form of presentation

Articles in international journals and collections

Year of publication

2019

Язык

английский

Authors, employees of KFU

Gabidullina Zulfiya Ravilevna, author

Bibliographic description in the original language

Gabidullina, Z.R. The Minkowski Difference for Convex Polyhedra and Some its Applications - arXiv preprint arXiv:1903.03590, 2019 https://arxiv.org/abs/1903.03590 (WOS, Scopus preprint)

Annotation

arxiv

Keywords

Minkowski difference, convex polyhedron, vertex repre-sentation, half-space representation, polyhedra, distance, projection,linear separability criterion, variational inequali

The name of the journal

arxiv

URL

https://arxiv.org/abs/1903.03590

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=199179&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Gabidullina Zulfiya Ravilevna	ru_RU
dc.date.accessioned	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	Gabidullina, Z.R. The Minkowski Difference for Convex Polyhedra and Some its Applications - arXiv preprint arXiv:1903.03590, 2019 https://arxiv.org/abs/1903.03590 (WOS, Scopus preprint)	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=199179&p_lang=2	ru_RU
dc.description.abstract	arxiv	ru_RU
dc.description.abstract	The aim of the paper is to develop a unified algebraical approach to representing the Minkowski difference for convex polyhedra. Namely, there is proposed an exact analytical formulas of the Minkowski difference for convex polyhedra with different representations. We study the cases when both operands under the Minkowski difference operation simultaneously have a vertex or a half-space representation. We also focus on the description of the Minkowski difference for a such mixed case where the first operand has the linear constraint structure and the second one is expressible as the convex hull of a finite collection of some given points. Unlike the widespread geometric approach considering mostly two-dimensional or three-dimensional spaces, we investigate the objects in finite-dimensional spaces of arbitrary dimensionality.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Minkowski difference	ru_RU
dc.subject	convex polyhedron	ru_RU
dc.subject	vertex repre-sentation	ru_RU
dc.subject	half-space representation	ru_RU
dc.subject	polyhedra	ru_RU
dc.subject	distance	ru_RU
dc.subject	projection	ru_RU
dc.subject	linear separability criterion	ru_RU
dc.subject	variational inequali	ru_RU
dc.title	The Minkowski Difference for Convex Polyhedra and Some its Applications	ru_RU
dc.type	Articles in international journals and collections	ru_RU