MOTIONS ON CURVES AND SURFACES USING GEOMETRIC ALGEBRA

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Atıf İçin Kopyala

Aslan S., YAYLI Y.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.71, sa.1, ss.39-50, 2022 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 71 Sayı: 1
• Basım Tarihi: 2022
• Doi Numarası: 10.31801/cfsuasmas.878766
• 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.39-50
• Anahtar Kelimeler: Geometric algebra, curves, surfaces, quaternions, rotation matrices, homothetic motions
• Ankara Üniversitesi Adresli: Evet

Özet

Geometric algebra is a useful tool to overcome some problems in kinematics. Thus, the geometric algebra has attracted the attention of many researchers. In this paper, quaternion operators on curves and surfaces in Euclidean 3-space are defined by using geometric algebra. These operators generate the curves or the surfaces from the points, curves or surfaces. Using quaternion operators, we obtain motions that have orbits along the generated curve or surface. Also, these motions are expressed as 1-parameter or 2-parameter homothetic motions.