Optimization of Curvature and Torsion of the Curve Based on the Basic Vector of the Space Curve

Based on the curve Γ:r⃗=r⃗(s) whose basic vector are α⃗, β⃗, γ⃗ and curvature and torsion are κ⃗ and τ⃗ respectively. Under two different condition which κ⃗ and τ⃗ have different values. We studied calculation of Curvature κ⃗ and torsion τ⃗ of curves Γ̅: ρ⃗=r⃗+aα⃗+bβ⃗ by vector α⃗ and β⃗.