THE SERRET-FRENET FORMULAS FOR DUAL QUATERNION-VALUED FUNCTIONS OF A SINGLE REAL VARIABLE

Authors
SIVRIDAG AI GUNES R KELES S
Citation
Ai. Sivridag et al., THE SERRET-FRENET FORMULAS FOR DUAL QUATERNION-VALUED FUNCTIONS OF A SINGLE REAL VARIABLE, Mechanism and machine theory, 29(5), 1994, pp. 749-754
Citations number
5
Categorie Soggetti
Engineering, Mechanical
Journal title
Mechanism and machine theory → ACNP
ISSN journal
0094114X
Volume
29
Issue
5
Year of publication
1994
Pages
749 - 754
Database
ISI
SICI code
0094-114X(1994)29:5<749:TSFFDQ>2.0.ZU;2-4
Abstract
Dual quaternion-valued functions of a single real variable define a cu rve in ID4. The Serret-Frenet formulae for a curve in ID3, well known [1], it is rederived with the help of dual spatialquaternions. Making use of these formulae, we derived the Serret-Frenet formulae for dual quaternion-valued functions in ID4.