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
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.