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
Recommended Citation
Zaka, Orgest; Baushi, Arben; and Xhoxhi, Olsi, "Some Applications in the Real Affine and Projective Plane" (2017). UBT International Conference. 103.
https://knowledgecenter.ubt-uni.net/conference/2017/all-events/103
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.