Event Title

Some Applications in the Real Affine and Projective Plane

Session

Computer Science and Communication Engineering

Description

In this article we have presented some simple and interesting applications of planar transformations in the affine and projective plane constructet over real-number field, such as: Scaling about the Origin, Reflections, Rotation about the Origin, Shears, Concatenation of Transformations, Rotation about an Arbitrary Point Reflection in an Arbitrary Line. Initially, we have made a description of these transformations for which we will bring basic knowledge, the transformations we have described in the coordinated real affine and projective plane. Applications of transformations are considered in the last part of this paper. Each primitive has a mathematical representation which can be expressed as a data or type structure for storage and manipulation by a computer. At the end of this article we have provided some examples and geometric applications in robotics and computer equipment.

Keywords:

Real affine plane, real projective plane, planar transformations, robotics

Session Chair

Zhilbert Tafa

Session Co-Chair

Ramiz Hoxha

Proceedings Editor

Edmond Hajrizi

ISBN

978-9951-437-54-7

Location

Durres, Albania

Start Date

27-10-2017 1:20 PM

End Date

27-10-2017 2:30 PM

DOI

10.33107/ubt-ic.2017.103

This document is currently not available here.

Share

COinS
 
Oct 27th, 1:20 PM Oct 27th, 2:30 PM

Some Applications in the Real Affine and Projective Plane

Durres, Albania

In this article we have presented some simple and interesting applications of planar transformations in the affine and projective plane constructet over real-number field, such as: Scaling about the Origin, Reflections, Rotation about the Origin, Shears, Concatenation of Transformations, Rotation about an Arbitrary Point Reflection in an Arbitrary Line. Initially, we have made a description of these transformations for which we will bring basic knowledge, the transformations we have described in the coordinated real affine and projective plane. Applications of transformations are considered in the last part of this paper. Each primitive has a mathematical representation which can be expressed as a data or type structure for storage and manipulation by a computer. At the end of this article we have provided some examples and geometric applications in robotics and computer equipment.