M.Sc. Tezi Görüntüleme

Student:	Demet AYDEMİR
Supervisor:	Doç. Dr. Yasemin SAĞIROĞLU
Department:	Matematik
Institution:	Graduate School of Natural and Applied Sciences
University:	Karadeniz Technical University Turkey

Title of the Thesis:	Affine Differential Invariants Of Two Curve Families On The Plane and Equivalence Problem
Level:	M.Sc.
Acceptance Date:	5/6/2017
Number of Pages:	47
Registration Number:	i3187

Summary:

In this thesis, the affine differential invariants of a family of binary curves are obtained and the equivalence problem of this type of families is investigated.

Primarily, the affine differential invariants of a family of binary curves are found. By using these invariants, the equivalence conditions of two families of binary curves with respect to affine group are formed. Also, it is shown that the obtained generator system of differential invariants is minimal.

Key Words: Affine group, Differential invariants, Equivalence