The Serret-Frenet formulae for dual quaternion-valued functions of a single real variable

Authors :: Rifat Güneş
A.Idot. Sidotvridotdaǧ
Sadık Keleş
Source :: Mechanism and Machine Theory. 29:749-754
Publication Year :: 1994
Publisher :: Elsevier BV, 1994.
Abstract: Dual quaternion-valued functions of a single real variable define a curve 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.

Subjects :: Algebra
Mechanics of Materials
Mechanical Engineering
Frenet–Serret formulas
Mathematical analysis
Real variable
Bioengineering
Dual quaternion
Computer Science Applications
Dual (category theory)
Mathematics

Tools