КФУ. Карточка публикации. The Minkowski Difference for Convex Polyhedra and Some its Applications

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THE MINKOWSKI DIFFERENCE FOR CONVEX POLYHEDRA AND SOME ITS APPLICATIONS

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2019

Язык

английский

Авторы, сотрудники КФУ

Габидуллина Зульфия Равилевна, автор

Библиографическое описание на языке оригинала

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)

Аннотация

arxiv

Ключевые слова

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

Название журнала

arxiv

URL

https://arxiv.org/abs/1903.03590

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https://repository.kpfu.ru/?p_id=199179

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Габидуллина Зульфия Равилевна	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/?p_id=199179	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	Статьи в зарубежных журналах и сборниках	ru_RU