TRAJECTORY CURVES AND SURFACES: A NEW PERSPECTIVE VIA PROJECTIVE GEOMETRIC ALGEBRA

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Taş F.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, sa.1, ss.64-75, 2024 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2024
• Doi Numarası: 10.31801/cfsuasmas.1170867
• Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.64-75
• İstanbul Üniversitesi Adresli: Evet

Özet

. The aim of this work is to define quaternion curves and surfaces and their conjugates via operators in Euclidean projective geometric algebra (EPGA). In this space, quaternions were obtained by the geometric product of vector fields. New vector fields, which we call trajectory curves and surfaces, were obtained by using this new quaternion operator. Moreover, dual quaternion curves are determined by a similar method and then their generated motion is studied. Illustrative examples are given.