Akademik Veri Yönetim Sistemi
18th International Geometry Symposium, 12 - 13 Temmuz 2021, cilt.1, ss.66
Detecting equivalences of curves is widely studied in the literature, as it directly
contributes to fields such as computer vision, computer graphics and pattern recognition. However, it is difficult to find enough studies when the subject is projective
equivalences. Recently Hauer and Jüttler published a study [1] in which the projective equivalences of curves were studied comprehensively. In their paper, the
authors proposed two methods, which they called the direct method and the reduced method. In this talk, we discuss the answer to the question "Is it possible to
solve the problem of detecting projective equivalences of curves with the arguments
of differential geometry?". In the light of the results we have obtained, it will be
possible to say that the answer to this question is positive, with fast and effective
algorithms created by using differential invariants.