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Dual Kuaterniyon İnvolüsyo n Matrislerin Kinematiği

Kinematics of Dual Quaternion Involution Matrices

Journal Name:

  • Süleyman Demirel Üniversitesi Fen Dergisi

Publication Year:

  • 2016

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
Rigid-body (screw) motions in three-dimensional Euclidean space M can be represented by involution (resp. anti-involution) mappings obtained by dual-quaternions which are self-inverse and homomorphic (resp. anti-homomrphic) linear mappings. In this paper' we will represent four dual-quaternion matrices with their geometrical meanings; two of them correspond to involution mappings' while the other two correspond to anti-involution mappings.
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Abstract (Original Language): 
Lineer bir dönüşüm aynı zamanda self-inverse (tersi kendisine eşit) ve anti-homomorfik ise involüsyon; self-inverse ve homomorfik ise anti-involüsyondur. Üç-boyutlu Öklid uzayı M3 teki vida hareketleri dual-kuaterniyonlar ile elde edilen (anti)-involüsyon dönüşümleri ile verilebilir. Biz bu çalışmada, dual-kuaterniyonları kullanarak ikisi involüsyon dönüşüme diğer ikisi ise anti-involüsyon dönüşüme karşılık gelen dört tane matrisi geometrik yorumlarıyla birlikte ele aldık.
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  • 2
121
132
  • Turkish

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REFERENCES

References: 

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[ 7 ] M. Bekar and Y. Yayli, Dual Quaternion Involutions and Anti-Involutions, Advances in Applied Clifford Algebras 23 (2013) , pp. 577-592.
[ 8 ] M. Hazewinkel (Ed.), Encyclopaedia of Mathematics: An Updated and Annotated Translation of the Soviet 'Mathematical Encyclopaedia', Kluwer, Dordrecht, 1988-1994.

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