ScholarLens Back to search
2013•Unpublished venueRequires access

MINKOWSKI SET OPERATORS

Daniela Velichová

Open publisher page 0 citations

Abstract

Abstract. Paper brings few ideas about a concept of Minkowski combinations of point sets, which can be defined as generalisation of Minkowski set operations in the Euclidean space En. Minkowski sum and product of two point sets are used for definition of Minkowski set operators as special mappings in En, which can be used for modelling of manifolds in this space. Three distinguished types of Minkowski operators are introduced based on different combinations of Minkowski sum and product of point sets.

About this research paper

What this paper is about

Abstract. Paper brings few ideas about a concept of Minkowski combinations of point sets, which can be defined as generalisation of Minkowski set operations in the Euclidean space En. Minkowski sum and product of two point sets are used for definition of Minkowski set operators as special mappings in En, which can be used for modelling of manifolds in this space. Three distinguished types of Minkowski operators are introduced based on different combinations of Minkowski sum and product of point sets.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Abstract. Paper brings few ideas about a concept of Minkowski combinations of point sets, which can be defined as generalisation of Minkowski set operations in the Euclidean space En. Minkowski sum and product of two point sets are used for definition of Minkowski set operators as special mappings in En, which can be used for modelling of manifolds in this space. Three distinguished types of Minkowski operators are introduced based on different combinations of Minkowski sum and product of point sets.

Key concepts: Minkowski space, Minkowski addition, Minkowski's theorem, Mathematics, Point (geometry), Product (mathematics), Euclidean geometry, Set (abstract data type)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
MINKOWSKI SET OPERATORS — Research Paper | ScholarLens